Equally-distributed initial wealth
Strategy: win_take_partial
Equal population, size=2000, mean=100.0, simulating 20000 steps Exchange strategy: winner takes random proportion of wealth from the loser +-------+------+--------+-----+-----+-----+-----+-----+-----+-----+ | step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% | +-------+------+--------+-----+-----+-----+-----+-----+-----+-----+ | 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 | | 2000 | 0.41 | 74.62 | 0 | 3 | 41 | 100 | 139 | 237 | 320 | | 4000 | 0.51 | 97.35 | 0 | 1 | 23 | 73 | 147 | 294 | 404 | | 6000 | 0.56 | 113.12 | 0 | 1 | 17 | 62 | 140 | 323 | 490 | | 8000 | 0.59 | 122.36 | 0 | 0 | 14 | 56 | 133 | 356 | 557 | | 10000 | 0.61 | 133.63 | 0 | 0 | 13 | 51 | 132 | 357 | 592 | | 12000 | 0.62 | 135.18 | 0 | 0 | 12 | 47 | 137 | 365 | 613 | | 14000 | 0.63 | 134.91 | 0 | 0 | 11 | 45 | 140 | 382 | 597 | | 16000 | 0.63 | 140.42 | 0 | 0 | 9 | 45 | 136 | 376 | 638 | | 18000 | 0.63 | 138.91 | 0 | 0 | 9 | 46 | 136 | 372 | 609 | | 20000 | 0.63 | 139.88 | 0 | 0 | 10 | 46 | 133 | 378 | 603 | +-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
Strategy: win_take_biased
Biased towards the richer party (80%/60%)
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes random proportion of wealth from the loser
however, the richer party has 80% chance of winning
+-------+------+--------+-----+-----+-----+-----+-----+-----+------+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+-----+-----+-----+-----+-----+-----+------+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.43 | 80.77 | 0 | 2 | 31 | 100 | 139 | 257 | 356 |
| 4000 | 0.57 | 113.32 | 0 | 0 | 11 | 64 | 145 | 342 | 477 |
| 6000 | 0.64 | 136.25 | 0 | 0 | 5 | 42 | 145 | 363 | 632 |
| 8000 | 0.69 | 153.72 | 0 | 0 | 2 | 30 | 140 | 402 | 741 |
| 10000 | 0.72 | 166.94 | 0 | 0 | 1 | 22 | 125 | 449 | 776 |
| 12000 | 0.75 | 177.94 | 0 | 0 | 1 | 18 | 114 | 469 | 843 |
| 14000 | 0.76 | 185.20 | 0 | 0 | 0 | 14 | 104 | 502 | 831 |
| 16000 | 0.77 | 191.89 | 0 | 0 | 0 | 13 | 101 | 537 | 891 |
| 18000 | 0.78 | 201.22 | 0 | 0 | 0 | 12 | 95 | 550 | 957 |
| 20000 | 0.79 | 209.72 | 0 | 0 | 0 | 10 | 90 | 536 | 1065 |
+-------+------+--------+-----+-----+-----+-----+-----+-----+------+
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes random proportion of wealth from the loser
however, the richer party has 60% chance of winning
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.42 | 78.41 | 0 | 3 | 39 | 100 | 136 | 249 | 363 |
| 4000 | 0.54 | 106.00 | 0 | 1 | 17 | 72 | 143 | 308 | 482 |
| 6000 | 0.60 | 122.39 | 0 | 0 | 11 | 56 | 144 | 346 | 565 |
| 8000 | 0.62 | 133.45 | 0 | 0 | 9 | 48 | 142 | 361 | 636 |
| 10000 | 0.64 | 136.92 | 0 | 0 | 7 | 42 | 138 | 389 | 619 |
| 12000 | 0.65 | 144.07 | 0 | 0 | 7 | 41 | 137 | 390 | 671 |
| 14000 | 0.67 | 148.14 | 0 | 0 | 6 | 39 | 131 | 416 | 681 |
| 16000 | 0.67 | 147.34 | 0 | 0 | 5 | 34 | 134 | 412 | 670 |
| 18000 | 0.68 | 153.62 | 0 | 0 | 5 | 35 | 125 | 416 | 711 |
| 20000 | 0.69 | 158.94 | 0 | 0 | 4 | 34 | 124 | 403 | 789 |
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
Biased towards the poorer party (40%/20%)
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes random proportion of wealth from the loser
however, the richer party has 40% chance of winning
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.40 | 74.30 | 0 | 5 | 41 | 100 | 135 | 239 | 331 |
| 4000 | 0.49 | 93.68 | 0 | 3 | 27 | 77 | 145 | 277 | 422 |
| 6000 | 0.54 | 107.54 | 0 | 2 | 22 | 64 | 143 | 323 | 462 |
| 8000 | 0.55 | 110.53 | 0 | 1 | 21 | 61 | 139 | 330 | 493 |
| 10000 | 0.57 | 114.67 | 0 | 1 | 17 | 59 | 141 | 341 | 502 |
| 12000 | 0.58 | 121.11 | 0 | 1 | 17 | 56 | 137 | 342 | 546 |
| 14000 | 0.58 | 121.83 | 0 | 1 | 16 | 56 | 137 | 346 | 567 |
| 16000 | 0.58 | 120.38 | 0 | 1 | 15 | 57 | 137 | 343 | 543 |
| 18000 | 0.58 | 123.44 | 0 | 1 | 16 | 54 | 137 | 339 | 569 |
| 20000 | 0.59 | 125.50 | 0 | 1 | 15 | 55 | 140 | 339 | 590 |
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes random proportion of wealth from the loser
however, the richer party has 20% chance of winning
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.37 | 69.05 | 1 | 8 | 48 | 98 | 131 | 235 | 299 |
| 4000 | 0.44 | 83.41 | 0 | 5 | 36 | 82 | 140 | 261 | 374 |
| 6000 | 0.48 | 92.12 | 0 | 4 | 31 | 74 | 138 | 282 | 424 |
| 8000 | 0.49 | 96.47 | 0 | 4 | 29 | 71 | 141 | 290 | 428 |
| 10000 | 0.50 | 99.56 | 0 | 4 | 27 | 71 | 140 | 291 | 441 |
| 12000 | 0.50 | 100.15 | 0 | 4 | 29 | 69 | 140 | 290 | 453 |
| 14000 | 0.51 | 101.91 | 0 | 3 | 26 | 69 | 143 | 297 | 471 |
| 16000 | 0.51 | 102.71 | 0 | 2 | 26 | 67 | 141 | 311 | 462 |
| 18000 | 0.53 | 108.02 | 0 | 3 | 24 | 64 | 138 | 313 | 512 |
| 20000 | 0.52 | 107.24 | 0 | 3 | 26 | 66 | 135 | 314 | 484 |
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
Completely biased towards the poorer party (0%)
i.e., the richer party will give wealth to the poorer party but not vice versa.
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes random proportion of wealth from the loser
however, the richer party has 0% chance of winning
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.36 | 66.85 | 2 | 10 | 52 | 100 | 129 | 227 | 312 |
| 4000 | 0.42 | 79.10 | 2 | 9 | 39 | 84 | 135 | 260 | 353 |
| 6000 | 0.43 | 83.19 | 1 | 8 | 38 | 80 | 137 | 264 | 394 |
| 8000 | 0.45 | 86.86 | 1 | 7 | 35 | 77 | 139 | 263 | 415 |
| 10000 | 0.44 | 84.62 | 2 | 8 | 37 | 77 | 138 | 263 | 395 |
| 12000 | 0.46 | 89.08 | 2 | 9 | 34 | 74 | 136 | 276 | 414 |
| 14000 | 0.45 | 85.46 | 2 | 8 | 35 | 77 | 139 | 269 | 391 |
| 16000 | 0.44 | 84.75 | 0 | 7 | 38 | 80 | 136 | 264 | 380 |
| 18000 | 0.45 | 86.30 | 2 | 9 | 36 | 77 | 138 | 266 | 394 |
| 20000 | 0.44 | 85.95 | 1 | 8 | 37 | 79 | 133 | 264 | 388 |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
Strategy: win_take_layer
Proportion of wealth taken with Lvl.2 of resistance to loss
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 80% chance of winning
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.32 | 57.46 | 6 | 17 | 56 | 100 | 130 | 209 | 270 |
| 4000 | 0.43 | 80.06 | 1 | 7 | 35 | 82 | 144 | 258 | 339 |
| 6000 | 0.51 | 98.67 | 0 | 3 | 24 | 67 | 147 | 295 | 433 |
| 8000 | 0.56 | 111.21 | 0 | 2 | 18 | 59 | 145 | 326 | 486 |
| 10000 | 0.59 | 120.38 | 0 | 1 | 14 | 53 | 143 | 343 | 529 |
| 12000 | 0.62 | 130.25 | 0 | 0 | 11 | 49 | 136 | 384 | 584 |
| 14000 | 0.64 | 137.97 | 0 | 0 | 9 | 43 | 131 | 401 | 627 |
| 16000 | 0.65 | 143.35 | 0 | 0 | 8 | 41 | 135 | 425 | 656 |
| 18000 | 0.67 | 149.99 | 0 | 0 | 7 | 36 | 131 | 437 | 709 |
| 20000 | 0.67 | 153.83 | 0 | 0 | 6 | 35 | 130 | 408 | 742 |
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 60% chance of winning
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.29 | 52.88 | 7 | 20 | 62 | 100 | 126 | 201 | 253 |
| 4000 | 0.38 | 70.10 | 3 | 12 | 46 | 87 | 137 | 236 | 312 |
| 6000 | 0.43 | 80.46 | 2 | 7 | 38 | 79 | 144 | 253 | 360 |
| 8000 | 0.46 | 87.42 | 1 | 6 | 33 | 75 | 143 | 269 | 388 |
| 10000 | 0.48 | 94.90 | 1 | 5 | 29 | 72 | 139 | 283 | 428 |
| 12000 | 0.50 | 98.43 | 1 | 4 | 27 | 69 | 141 | 292 | 444 |
| 14000 | 0.51 | 102.68 | 1 | 3 | 24 | 68 | 142 | 294 | 496 |
| 16000 | 0.52 | 104.08 | 0 | 3 | 25 | 66 | 142 | 297 | 488 |
| 18000 | 0.52 | 106.82 | 0 | 3 | 25 | 66 | 141 | 308 | 481 |
| 20000 | 0.52 | 104.40 | 0 | 2 | 24 | 65 | 140 | 313 | 482 |
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 50% chance of winning
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.27 | 50.03 | 9 | 27 | 63 | 100 | 127 | 191 | 240 |
| 4000 | 0.36 | 64.91 | 4 | 15 | 50 | 90 | 138 | 223 | 296 |
| 6000 | 0.40 | 75.63 | 2 | 10 | 42 | 84 | 140 | 243 | 332 |
| 8000 | 0.43 | 80.98 | 2 | 8 | 39 | 79 | 140 | 261 | 358 |
| 10000 | 0.44 | 84.96 | 1 | 7 | 36 | 77 | 138 | 268 | 382 |
| 12000 | 0.45 | 86.62 | 1 | 8 | 36 | 75 | 137 | 278 | 392 |
| 14000 | 0.47 | 90.44 | 1 | 7 | 33 | 73 | 140 | 274 | 429 |
| 16000 | 0.47 | 92.88 | 1 | 8 | 33 | 73 | 138 | 281 | 445 |
| 18000 | 0.47 | 91.32 | 1 | 7 | 32 | 74 | 139 | 280 | 411 |
| 20000 | 0.47 | 90.48 | 1 | 8 | 32 | 74 | 140 | 281 | 403 |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 40% chance of winning
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.27 | 48.21 | 10 | 26 | 66 | 100 | 125 | 189 | 235 |
| 4000 | 0.34 | 62.56 | 7 | 18 | 54 | 89 | 132 | 217 | 288 |
| 6000 | 0.37 | 70.02 | 6 | 15 | 48 | 85 | 135 | 237 | 318 |
| 8000 | 0.40 | 75.00 | 4 | 13 | 46 | 81 | 136 | 255 | 356 |
| 10000 | 0.41 | 76.69 | 4 | 14 | 41 | 81 | 139 | 247 | 337 |
| 12000 | 0.41 | 79.21 | 2 | 12 | 42 | 78 | 136 | 251 | 365 |
| 14000 | 0.41 | 78.79 | 2 | 11 | 42 | 81 | 136 | 253 | 365 |
| 16000 | 0.42 | 80.96 | 3 | 12 | 42 | 80 | 133 | 262 | 380 |
| 18000 | 0.42 | 81.22 | 2 | 11 | 39 | 80 | 136 | 261 | 379 |
| 20000 | 0.43 | 81.57 | 3 | 11 | 38 | 79 | 139 | 257 | 383 |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 20% chance of winning
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.24 | 43.88 | 17 | 33 | 70 | 100 | 123 | 177 | 225 |
| 4000 | 0.29 | 52.91 | 12 | 27 | 60 | 93 | 129 | 195 | 255 |
| 6000 | 0.31 | 57.42 | 10 | 25 | 59 | 91 | 129 | 209 | 288 |
| 8000 | 0.32 | 59.59 | 9 | 24 | 56 | 89 | 130 | 217 | 278 |
| 10000 | 0.33 | 61.04 | 11 | 25 | 55 | 89 | 129 | 222 | 294 |
| 12000 | 0.33 | 62.03 | 11 | 24 | 55 | 86 | 130 | 220 | 298 |
| 14000 | 0.34 | 62.45 | 11 | 22 | 53 | 87 | 132 | 218 | 290 |
| 16000 | 0.34 | 62.97 | 8 | 22 | 54 | 87 | 131 | 223 | 301 |
| 18000 | 0.33 | 62.04 | 8 | 22 | 54 | 87 | 131 | 220 | 290 |
| 20000 | 0.34 | 62.00 | 8 | 22 | 54 | 89 | 132 | 218 | 291 |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 0% chance of winning
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.22 | 39.71 | 20 | 41 | 71 | 100 | 121 | 172 | 211 |
| 4000 | 0.26 | 47.19 | 17 | 34 | 67 | 94 | 125 | 185 | 248 |
| 6000 | 0.26 | 47.69 | 18 | 34 | 63 | 94 | 130 | 181 | 241 |
| 8000 | 0.27 | 49.24 | 16 | 32 | 63 | 93 | 129 | 189 | 246 |
| 10000 | 0.28 | 50.21 | 18 | 31 | 62 | 94 | 129 | 192 | 248 |
| 12000 | 0.28 | 50.16 | 19 | 32 | 63 | 92 | 127 | 194 | 253 |
| 14000 | 0.28 | 50.69 | 17 | 32 | 63 | 92 | 126 | 194 | 249 |
| 16000 | 0.27 | 48.64 | 16 | 32 | 65 | 93 | 126 | 193 | 246 |
| 18000 | 0.27 | 49.65 | 15 | 31 | 64 | 92 | 128 | 190 | 241 |
| 20000 | 0.28 | 50.48 | 15 | 32 | 63 | 92 | 126 | 195 | 254 |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
Proportion of wealth taken with Lvl.5 resistance to loss
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 80% chance of winning
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.30 | 54.69 | 12 | 25 | 59 | 100 | 129 | 201 | 269 |
| 4000 | 0.42 | 78.04 | 4 | 11 | 40 | 81 | 140 | 247 | 344 |
| 6000 | 0.48 | 92.04 | 1 | 5 | 29 | 71 | 143 | 281 | 388 |
| 8000 | 0.52 | 101.45 | 0 | 3 | 22 | 68 | 143 | 308 | 440 |
| 10000 | 0.55 | 108.15 | 0 | 2 | 19 | 62 | 144 | 327 | 493 |
| 12000 | 0.58 | 117.64 | 0 | 1 | 17 | 56 | 139 | 345 | 546 |
| 14000 | 0.60 | 124.96 | 0 | 1 | 14 | 51 | 136 | 375 | 566 |
| 16000 | 0.61 | 128.01 | 0 | 0 | 13 | 49 | 137 | 382 | 577 |
| 18000 | 0.62 | 131.91 | 0 | 0 | 12 | 46 | 133 | 390 | 589 |
| 20000 | 0.63 | 134.98 | 0 | 0 | 11 | 44 | 136 | 376 | 595 |
+-------+------+--------+-----+-----+-----+-----+-----+-----+-----+
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 60% chance of winning
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.27 | 48.46 | 16 | 31 | 64 | 100 | 129 | 188 | 237 |
| 4000 | 0.36 | 65.73 | 9 | 18 | 50 | 87 | 135 | 229 | 306 |
| 6000 | 0.40 | 74.60 | 4 | 12 | 43 | 82 | 140 | 250 | 346 |
| 8000 | 0.43 | 81.88 | 3 | 10 | 37 | 79 | 140 | 262 | 370 |
| 10000 | 0.45 | 86.73 | 2 | 8 | 33 | 77 | 140 | 280 | 383 |
| 12000 | 0.47 | 91.87 | 2 | 6 | 32 | 74 | 142 | 275 | 409 |
| 14000 | 0.47 | 92.61 | 1 | 6 | 33 | 73 | 139 | 281 | 424 |
| 16000 | 0.46 | 90.96 | 1 | 6 | 33 | 73 | 142 | 276 | 405 |
| 18000 | 0.46 | 90.94 | 2 | 7 | 33 | 73 | 140 | 270 | 386 |
| 20000 | 0.47 | 93.03 | 1 | 6 | 33 | 74 | 138 | 280 | 404 |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 50% chance of winning
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.26 | 47.07 | 18 | 32 | 64 | 100 | 126 | 186 | 232 |
| 4000 | 0.33 | 60.28 | 9 | 23 | 53 | 90 | 133 | 219 | 267 |
| 6000 | 0.36 | 66.69 | 7 | 18 | 50 | 86 | 136 | 229 | 311 |
| 8000 | 0.38 | 70.76 | 6 | 16 | 46 | 83 | 138 | 231 | 338 |
| 10000 | 0.39 | 73.59 | 5 | 14 | 45 | 81 | 138 | 240 | 330 |
| 12000 | 0.40 | 76.55 | 5 | 14 | 45 | 81 | 135 | 252 | 351 |
| 14000 | 0.41 | 77.22 | 4 | 12 | 43 | 80 | 134 | 250 | 361 |
| 16000 | 0.41 | 78.84 | 4 | 12 | 42 | 79 | 137 | 254 | 361 |
| 18000 | 0.41 | 78.61 | 4 | 12 | 43 | 80 | 138 | 254 | 362 |
| 20000 | 0.42 | 79.90 | 4 | 11 | 41 | 79 | 138 | 251 | 366 |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 40% chance of winning
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.24 | 43.73 | 20 | 35 | 68 | 100 | 126 | 177 | 216 |
| 4000 | 0.30 | 53.79 | 14 | 27 | 60 | 90 | 132 | 198 | 266 |
| 6000 | 0.32 | 58.69 | 12 | 25 | 56 | 88 | 132 | 208 | 287 |
| 8000 | 0.34 | 62.22 | 11 | 21 | 53 | 88 | 135 | 210 | 288 |
| 10000 | 0.34 | 63.83 | 11 | 21 | 54 | 87 | 131 | 223 | 305 |
| 12000 | 0.35 | 64.48 | 8 | 20 | 54 | 86 | 134 | 219 | 310 |
| 14000 | 0.36 | 67.77 | 7 | 19 | 51 | 85 | 132 | 233 | 319 |
| 16000 | 0.36 | 66.94 | 9 | 20 | 50 | 86 | 133 | 221 | 314 |
| 18000 | 0.36 | 66.62 | 9 | 20 | 51 | 84 | 133 | 227 | 320 |
| 20000 | 0.36 | 68.74 | 7 | 20 | 50 | 83 | 133 | 231 | 331 |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 20% chance of winning
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.22 | 39.33 | 27 | 43 | 71 | 100 | 123 | 169 | 203 |
| 4000 | 0.25 | 45.77 | 22 | 37 | 67 | 93 | 127 | 180 | 238 |
| 6000 | 0.26 | 48.24 | 21 | 36 | 63 | 92 | 127 | 192 | 249 |
| 8000 | 0.26 | 47.96 | 22 | 35 | 64 | 92 | 126 | 185 | 254 |
| 10000 | 0.27 | 48.95 | 19 | 34 | 64 | 91 | 128 | 190 | 251 |
| 12000 | 0.27 | 49.47 | 20 | 34 | 64 | 92 | 127 | 193 | 251 |
| 14000 | 0.28 | 50.20 | 21 | 33 | 62 | 91 | 128 | 195 | 241 |
| 16000 | 0.27 | 50.50 | 21 | 34 | 63 | 90 | 129 | 193 | 249 |
| 18000 | 0.27 | 50.09 | 18 | 34 | 63 | 92 | 126 | 197 | 251 |
| 20000 | 0.28 | 51.56 | 18 | 34 | 62 | 91 | 127 | 197 | 257 |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
Equal population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 0% chance of winning
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.19 | 34.22 | 35 | 49 | 74 | 100 | 120 | 163 | 188 |
| 4000 | 0.21 | 37.92 | 34 | 46 | 72 | 95 | 124 | 170 | 203 |
| 6000 | 0.22 | 38.60 | 32 | 45 | 71 | 95 | 122 | 173 | 209 |
| 8000 | 0.22 | 39.66 | 34 | 45 | 70 | 94 | 122 | 175 | 214 |
| 10000 | 0.21 | 38.65 | 35 | 46 | 70 | 95 | 122 | 170 | 210 |
| 12000 | 0.22 | 40.13 | 33 | 46 | 71 | 93 | 121 | 172 | 218 |
| 14000 | 0.22 | 39.11 | 32 | 44 | 71 | 95 | 125 | 171 | 205 |
| 16000 | 0.22 | 39.01 | 33 | 45 | 70 | 95 | 123 | 174 | 208 |
| 18000 | 0.22 | 39.02 | 32 | 45 | 71 | 94 | 121 | 173 | 211 |
| 20000 | 0.21 | 38.87 | 35 | 47 | 72 | 94 | 122 | 169 | 216 |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
Uniformly-distributed initial wealth
Strategy: win_take_partial
Uniform population, size=2000, mean=100.0, simulating 20000 steps Exchange strategy: winner takes random proportion of wealth from the loser +-------+------+--------+----+----+-----+-----+-----+-----+-----+ | step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% | +-------+------+--------+----+----+-----+-----+-----+-----+-----+ | 0 | 0.33 | 57.02 | 1 | 9 | 52 | 99 | 150 | 187 | 195 | | 2000 | 0.48 | 90.62 | 0 | 2 | 26 | 75 | 153 | 274 | 383 | | 4000 | 0.55 | 106.81 | 0 | 1 | 17 | 63 | 151 | 310 | 459 | | 6000 | 0.57 | 116.22 | 0 | 0 | 15 | 57 | 143 | 339 | 518 | | 8000 | 0.60 | 125.44 | 0 | 0 | 13 | 52 | 143 | 358 | 586 | | 10000 | 0.62 | 132.18 | 0 | 0 | 11 | 48 | 136 | 379 | 605 | | 12000 | 0.62 | 132.40 | 0 | 0 | 10 | 45 | 141 | 376 | 620 | | 14000 | 0.62 | 130.03 | 0 | 0 | 11 | 48 | 139 | 370 | 616 | | 16000 | 0.62 | 129.10 | 0 | 0 | 11 | 49 | 139 | 385 | 591 | | 18000 | 0.62 | 131.84 | 0 | 0 | 11 | 49 | 137 | 352 | 643 | | 20000 | 0.63 | 133.99 | 0 | 0 | 10 | 46 | 137 | 374 | 633 | +-------+------+--------+----+----+-----+-----+-----+-----+-----+
Strategy: win_take_biased
Biased towards the richer party (80%/60%)
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes random proportion of wealth from the loser
however, the richer party has 80% chance of winning
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.33 | 56.73 | 2 | 9 | 51 | 101 | 150 | 187 | 195 |
| 2000 | 0.52 | 99.82 | 0 | 0 | 16 | 73 | 158 | 294 | 412 |
| 4000 | 0.62 | 128.66 | 0 | 0 | 7 | 47 | 149 | 361 | 575 |
| 6000 | 0.67 | 144.44 | 0 | 0 | 3 | 33 | 148 | 414 | 634 |
| 8000 | 0.70 | 155.77 | 0 | 0 | 1 | 26 | 139 | 448 | 678 |
| 10000 | 0.73 | 167.29 | 0 | 0 | 1 | 21 | 126 | 454 | 765 |
| 12000 | 0.75 | 180.28 | 0 | 0 | 1 | 17 | 117 | 480 | 888 |
| 14000 | 0.76 | 187.87 | 0 | 0 | 0 | 15 | 112 | 496 | 885 |
| 16000 | 0.77 | 191.27 | 0 | 0 | 0 | 14 | 105 | 535 | 870 |
| 18000 | 0.78 | 196.59 | 0 | 0 | 0 | 12 | 100 | 539 | 912 |
| 20000 | 0.79 | 202.29 | 0 | 0 | 0 | 10 | 93 | 558 | 967 |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes random proportion of wealth from the loser
however, the richer party has 60% chance of winning
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.34 | 58.15 | 2 | 12 | 49 | 98 | 152 | 189 | 196 |
| 2000 | 0.51 | 96.07 | 0 | 1 | 22 | 76 | 156 | 279 | 426 |
| 4000 | 0.58 | 116.41 | 0 | 0 | 11 | 57 | 148 | 341 | 476 |
| 6000 | 0.62 | 127.60 | 0 | 0 | 9 | 49 | 145 | 361 | 559 |
| 8000 | 0.64 | 135.41 | 0 | 0 | 7 | 44 | 138 | 389 | 597 |
| 10000 | 0.66 | 145.35 | 0 | 0 | 6 | 40 | 135 | 393 | 643 |
| 12000 | 0.67 | 148.63 | 0 | 0 | 6 | 35 | 134 | 398 | 646 |
| 14000 | 0.67 | 151.94 | 0 | 0 | 6 | 35 | 129 | 394 | 719 |
| 16000 | 0.67 | 151.98 | 0 | 0 | 6 | 36 | 126 | 401 | 725 |
| 18000 | 0.68 | 152.78 | 0 | 0 | 5 | 33 | 127 | 421 | 730 |
| 20000 | 0.69 | 160.64 | 0 | 0 | 5 | 32 | 120 | 444 | 741 |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
Biased towards the poorer party (40%/20%)
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes random proportion of wealth from the loser
however, the richer party has 40% chance of winning
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.34 | 58.68 | 2 | 10 | 48 | 99 | 152 | 190 | 197 |
| 2000 | 0.47 | 86.49 | 0 | 2 | 30 | 82 | 146 | 277 | 371 |
| 4000 | 0.52 | 102.19 | 0 | 2 | 23 | 67 | 147 | 310 | 432 |
| 6000 | 0.56 | 115.73 | 0 | 1 | 18 | 59 | 144 | 336 | 546 |
| 8000 | 0.58 | 119.66 | 0 | 1 | 16 | 58 | 142 | 342 | 540 |
| 10000 | 0.58 | 121.64 | 0 | 1 | 16 | 58 | 137 | 343 | 575 |
| 12000 | 0.58 | 121.35 | 0 | 1 | 15 | 54 | 141 | 352 | 533 |
| 14000 | 0.59 | 124.79 | 0 | 0 | 16 | 55 | 138 | 344 | 572 |
| 16000 | 0.58 | 123.63 | 0 | 1 | 18 | 57 | 133 | 334 | 571 |
| 18000 | 0.58 | 122.38 | 0 | 0 | 16 | 58 | 139 | 345 | 562 |
| 20000 | 0.58 | 122.92 | 0 | 1 | 16 | 57 | 138 | 344 | 562 |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes random proportion of wealth from the loser
however, the richer party has 20% chance of winning
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.33 | 57.37 | 2 | 9 | 49 | 100 | 149 | 188 | 196 |
| 2000 | 0.44 | 80.05 | 0 | 5 | 37 | 83 | 145 | 256 | 350 |
| 4000 | 0.48 | 91.74 | 0 | 4 | 30 | 72 | 143 | 282 | 396 |
| 6000 | 0.50 | 97.99 | 0 | 4 | 28 | 69 | 143 | 293 | 421 |
| 8000 | 0.51 | 102.55 | 0 | 4 | 27 | 69 | 141 | 294 | 493 |
| 10000 | 0.51 | 100.57 | 0 | 3 | 27 | 70 | 140 | 296 | 469 |
| 12000 | 0.52 | 107.76 | 0 | 3 | 25 | 67 | 134 | 303 | 507 |
| 14000 | 0.52 | 107.29 | 0 | 2 | 25 | 66 | 134 | 317 | 505 |
| 16000 | 0.51 | 103.50 | 0 | 3 | 26 | 70 | 135 | 303 | 480 |
| 18000 | 0.52 | 105.48 | 0 | 3 | 25 | 67 | 137 | 311 | 464 |
| 20000 | 0.51 | 104.08 | 0 | 4 | 26 | 66 | 143 | 305 | 474 |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
Completely biased towards the poorer party (0%)
i.e., the richer party will give wealth to the poorer party but not vice versa.
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes random proportion of wealth from the loser
however, the richer party has 0% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.34 | 58.32 | 2 | 11 | 49 | 100 | 150 | 191 | 199 |
| 2000 | 0.41 | 77.71 | 2 | 9 | 40 | 83 | 143 | 242 | 327 |
| 4000 | 0.43 | 81.58 | 1 | 8 | 38 | 81 | 138 | 260 | 367 |
| 6000 | 0.44 | 83.50 | 0 | 7 | 38 | 80 | 137 | 266 | 387 |
| 8000 | 0.44 | 86.00 | 1 | 7 | 37 | 78 | 140 | 263 | 403 |
| 10000 | 0.45 | 85.91 | 1 | 8 | 35 | 78 | 143 | 267 | 384 |
| 12000 | 0.45 | 86.89 | 1 | 7 | 37 | 75 | 138 | 270 | 406 |
| 14000 | 0.44 | 84.70 | 1 | 7 | 37 | 80 | 138 | 265 | 384 |
| 16000 | 0.44 | 87.11 | 1 | 7 | 36 | 79 | 139 | 261 | 392 |
| 18000 | 0.45 | 86.68 | 2 | 8 | 37 | 77 | 136 | 269 | 389 |
| 20000 | 0.45 | 85.76 | 1 | 7 | 36 | 78 | 138 | 267 | 387 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Strategy: win_take_layer
Proportion of wealth taken with Lvl.2 resistance to loss
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 80% chance of winning
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.32 | 56.08 | 1 | 10 | 52 | 100 | 148 | 186 | 194 |
| 2000 | 0.44 | 79.74 | 0 | 4 | 32 | 83 | 154 | 250 | 322 |
| 4000 | 0.51 | 96.95 | 0 | 2 | 21 | 68 | 155 | 300 | 402 |
| 6000 | 0.56 | 109.29 | 0 | 1 | 16 | 59 | 151 | 325 | 458 |
| 8000 | 0.59 | 117.92 | 0 | 0 | 13 | 53 | 147 | 345 | 489 |
| 10000 | 0.61 | 125.40 | 0 | 0 | 10 | 47 | 143 | 363 | 541 |
| 12000 | 0.63 | 130.03 | 0 | 0 | 9 | 45 | 141 | 379 | 551 |
| 14000 | 0.64 | 136.79 | 0 | 0 | 8 | 43 | 139 | 381 | 648 |
| 16000 | 0.65 | 142.08 | 0 | 0 | 7 | 44 | 132 | 394 | 656 |
| 18000 | 0.66 | 146.22 | 0 | 0 | 6 | 39 | 133 | 397 | 695 |
| 20000 | 0.66 | 148.81 | 0 | 0 | 6 | 37 | 135 | 388 | 694 |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 60% chance of winning
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.32 | 55.69 | 1 | 10 | 51 | 101 | 147 | 185 | 192 |
| 2000 | 0.40 | 72.22 | 1 | 7 | 38 | 88 | 147 | 231 | 282 |
| 4000 | 0.44 | 81.02 | 1 | 6 | 34 | 81 | 148 | 260 | 334 |
| 6000 | 0.47 | 88.88 | 0 | 6 | 31 | 73 | 146 | 276 | 371 |
| 8000 | 0.49 | 93.94 | 1 | 5 | 29 | 68 | 144 | 298 | 400 |
| 10000 | 0.50 | 97.77 | 1 | 4 | 26 | 69 | 140 | 309 | 420 |
| 12000 | 0.51 | 100.80 | 0 | 3 | 26 | 67 | 137 | 309 | 454 |
| 14000 | 0.53 | 104.65 | 0 | 3 | 22 | 64 | 142 | 320 | 461 |
| 16000 | 0.54 | 106.28 | 0 | 3 | 22 | 63 | 138 | 324 | 469 |
| 18000 | 0.54 | 107.62 | 0 | 2 | 22 | 64 | 140 | 334 | 463 |
| 20000 | 0.54 | 108.23 | 0 | 2 | 23 | 63 | 138 | 318 | 467 |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 50% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.33 | 57.73 | 1 | 10 | 50 | 100 | 151 | 188 | 198 |
| 2000 | 0.40 | 71.67 | 2 | 9 | 43 | 85 | 147 | 229 | 299 |
| 4000 | 0.42 | 78.49 | 2 | 9 | 38 | 81 | 143 | 246 | 344 |
| 6000 | 0.44 | 84.76 | 1 | 7 | 38 | 77 | 138 | 260 | 386 |
| 8000 | 0.45 | 86.92 | 1 | 7 | 36 | 76 | 137 | 268 | 399 |
| 10000 | 0.46 | 90.66 | 1 | 8 | 32 | 73 | 141 | 284 | 396 |
| 12000 | 0.47 | 92.66 | 1 | 7 | 32 | 73 | 140 | 282 | 405 |
| 14000 | 0.47 | 92.76 | 2 | 7 | 34 | 73 | 135 | 283 | 435 |
| 16000 | 0.47 | 94.31 | 1 | 7 | 33 | 71 | 138 | 281 | 463 |
| 18000 | 0.47 | 94.70 | 1 | 6 | 33 | 72 | 134 | 288 | 434 |
| 20000 | 0.47 | 95.29 | 1 | 6 | 32 | 73 | 134 | 287 | 437 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 40% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.34 | 58.91 | 1 | 9 | 48 | 97 | 151 | 193 | 201 |
| 2000 | 0.38 | 68.82 | 2 | 12 | 45 | 87 | 142 | 226 | 306 |
| 4000 | 0.40 | 73.88 | 3 | 11 | 45 | 83 | 138 | 248 | 337 |
| 6000 | 0.40 | 75.27 | 3 | 12 | 45 | 82 | 136 | 243 | 357 |
| 8000 | 0.41 | 77.05 | 2 | 12 | 43 | 81 | 137 | 250 | 359 |
| 10000 | 0.42 | 79.11 | 3 | 11 | 42 | 79 | 139 | 252 | 369 |
| 12000 | 0.42 | 81.18 | 3 | 11 | 41 | 77 | 138 | 254 | 376 |
| 14000 | 0.42 | 79.58 | 3 | 13 | 41 | 79 | 135 | 261 | 364 |
| 16000 | 0.42 | 78.83 | 3 | 13 | 41 | 79 | 136 | 256 | 356 |
| 18000 | 0.41 | 78.59 | 4 | 13 | 41 | 79 | 138 | 255 | 359 |
| 20000 | 0.43 | 81.37 | 3 | 11 | 40 | 76 | 136 | 265 | 370 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 20% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.33 | 57.16 | 2 | 9 | 50 | 99 | 150 | 187 | 195 |
| 2000 | 0.34 | 60.82 | 5 | 18 | 54 | 89 | 136 | 211 | 267 |
| 4000 | 0.34 | 61.85 | 6 | 20 | 55 | 87 | 131 | 220 | 295 |
| 6000 | 0.33 | 60.93 | 7 | 21 | 55 | 88 | 133 | 216 | 283 |
| 8000 | 0.33 | 61.42 | 8 | 22 | 54 | 89 | 131 | 218 | 287 |
| 10000 | 0.32 | 59.39 | 7 | 22 | 56 | 90 | 131 | 214 | 272 |
| 12000 | 0.33 | 60.02 | 10 | 24 | 56 | 88 | 131 | 211 | 287 |
| 14000 | 0.33 | 61.43 | 9 | 24 | 56 | 88 | 131 | 214 | 296 |
| 16000 | 0.33 | 62.07 | 9 | 22 | 56 | 88 | 131 | 218 | 285 |
| 18000 | 0.34 | 62.64 | 10 | 21 | 55 | 86 | 130 | 216 | 304 |
| 20000 | 0.33 | 61.61 | 11 | 24 | 53 | 89 | 131 | 221 | 300 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 0% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.33 | 57.83 | 2 | 9 | 48 | 100 | 150 | 188 | 197 |
| 2000 | 0.31 | 54.85 | 10 | 25 | 58 | 91 | 135 | 195 | 258 |
| 4000 | 0.29 | 52.65 | 11 | 30 | 61 | 92 | 129 | 193 | 259 |
| 6000 | 0.29 | 52.76 | 14 | 29 | 61 | 91 | 130 | 197 | 258 |
| 8000 | 0.29 | 52.30 | 14 | 31 | 61 | 91 | 128 | 200 | 257 |
| 10000 | 0.29 | 52.46 | 17 | 31 | 62 | 91 | 126 | 203 | 264 |
| 12000 | 0.28 | 51.27 | 18 | 31 | 63 | 90 | 128 | 193 | 250 |
| 14000 | 0.27 | 48.96 | 18 | 34 | 65 | 92 | 126 | 192 | 244 |
| 16000 | 0.27 | 49.79 | 18 | 33 | 62 | 92 | 127 | 193 | 243 |
| 18000 | 0.28 | 50.98 | 16 | 32 | 63 | 92 | 127 | 195 | 253 |
| 20000 | 0.27 | 49.11 | 16 | 34 | 65 | 91 | 128 | 191 | 255 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Proportion of wealth taken with Lvl.5 resistance to loss
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 80% chance of winning
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.34 | 58.48 | 2 | 9 | 49 | 98 | 150 | 192 | 200 |
| 2000 | 0.44 | 78.34 | 1 | 5 | 33 | 83 | 154 | 243 | 311 |
| 4000 | 0.50 | 94.95 | 0 | 3 | 25 | 71 | 150 | 291 | 389 |
| 6000 | 0.53 | 104.80 | 0 | 2 | 21 | 65 | 145 | 307 | 459 |
| 8000 | 0.56 | 111.64 | 0 | 1 | 17 | 61 | 146 | 322 | 503 |
| 10000 | 0.58 | 116.81 | 0 | 1 | 14 | 53 | 147 | 340 | 522 |
| 12000 | 0.60 | 124.67 | 0 | 1 | 13 | 50 | 143 | 354 | 571 |
| 14000 | 0.61 | 129.26 | 0 | 0 | 12 | 50 | 136 | 381 | 582 |
| 16000 | 0.62 | 132.67 | 0 | 0 | 11 | 48 | 137 | 378 | 614 |
| 18000 | 0.63 | 136.39 | 0 | 0 | 11 | 45 | 132 | 392 | 632 |
| 20000 | 0.64 | 140.59 | 0 | 0 | 10 | 43 | 131 | 383 | 642 |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 60% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.33 | 57.83 | 1 | 9 | 48 | 99 | 150 | 189 | 197 |
| 2000 | 0.39 | 70.23 | 1 | 10 | 44 | 86 | 144 | 230 | 298 |
| 4000 | 0.41 | 77.49 | 2 | 9 | 41 | 82 | 139 | 242 | 354 |
| 6000 | 0.43 | 81.47 | 2 | 9 | 37 | 81 | 138 | 253 | 357 |
| 8000 | 0.45 | 85.15 | 2 | 9 | 36 | 77 | 138 | 277 | 379 |
| 10000 | 0.46 | 87.87 | 1 | 6 | 35 | 74 | 141 | 277 | 403 |
| 12000 | 0.46 | 89.76 | 2 | 7 | 34 | 72 | 141 | 283 | 412 |
| 14000 | 0.47 | 92.11 | 2 | 7 | 32 | 73 | 138 | 286 | 430 |
| 16000 | 0.47 | 91.22 | 1 | 7 | 31 | 72 | 143 | 289 | 411 |
| 18000 | 0.47 | 91.08 | 1 | 6 | 32 | 72 | 142 | 281 | 414 |
| 20000 | 0.48 | 93.56 | 0 | 6 | 30 | 73 | 140 | 283 | 429 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 50% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.34 | 58.76 | 3 | 9 | 48 | 101 | 148 | 191 | 198 |
| 2000 | 0.38 | 67.90 | 3 | 12 | 46 | 89 | 142 | 222 | 292 |
| 4000 | 0.39 | 72.73 | 4 | 12 | 45 | 84 | 138 | 237 | 316 |
| 6000 | 0.40 | 74.89 | 5 | 14 | 44 | 82 | 136 | 246 | 331 |
| 8000 | 0.40 | 75.69 | 5 | 14 | 44 | 81 | 138 | 244 | 350 |
| 10000 | 0.40 | 75.87 | 5 | 13 | 43 | 81 | 137 | 245 | 343 |
| 12000 | 0.42 | 79.61 | 4 | 13 | 41 | 77 | 138 | 255 | 367 |
| 14000 | 0.42 | 80.22 | 4 | 13 | 39 | 77 | 140 | 253 | 379 |
| 16000 | 0.42 | 80.17 | 3 | 12 | 41 | 79 | 137 | 256 | 367 |
| 18000 | 0.41 | 78.83 | 4 | 12 | 42 | 80 | 134 | 256 | 355 |
| 20000 | 0.41 | 78.49 | 4 | 11 | 43 | 80 | 134 | 264 | 337 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 40% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.33 | 57.38 | 2 | 10 | 49 | 99 | 148 | 189 | 198 |
| 2000 | 0.34 | 61.42 | 4 | 16 | 52 | 90 | 137 | 211 | 272 |
| 4000 | 0.35 | 63.67 | 6 | 19 | 52 | 87 | 134 | 224 | 292 |
| 6000 | 0.35 | 66.09 | 7 | 19 | 51 | 86 | 132 | 230 | 307 |
| 8000 | 0.36 | 66.68 | 9 | 20 | 49 | 86 | 134 | 230 | 306 |
| 10000 | 0.36 | 65.91 | 9 | 19 | 50 | 84 | 133 | 225 | 307 |
| 12000 | 0.36 | 65.92 | 8 | 19 | 51 | 85 | 134 | 230 | 297 |
| 14000 | 0.35 | 65.01 | 7 | 19 | 53 | 86 | 132 | 227 | 303 |
| 16000 | 0.36 | 67.03 | 8 | 19 | 51 | 83 | 136 | 228 | 308 |
| 18000 | 0.36 | 67.35 | 8 | 18 | 50 | 84 | 135 | 228 | 307 |
| 20000 | 0.37 | 69.57 | 8 | 19 | 50 | 83 | 131 | 236 | 330 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 20% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.33 | 57.10 | 1 | 11 | 50 | 100 | 149 | 186 | 193 |
| 2000 | 0.30 | 53.94 | 6 | 24 | 60 | 92 | 134 | 193 | 252 |
| 4000 | 0.29 | 52.91 | 13 | 30 | 61 | 89 | 131 | 197 | 258 |
| 6000 | 0.28 | 52.09 | 19 | 33 | 61 | 91 | 127 | 197 | 262 |
| 8000 | 0.28 | 51.30 | 18 | 33 | 62 | 91 | 128 | 194 | 256 |
| 10000 | 0.28 | 50.05 | 19 | 34 | 63 | 91 | 128 | 190 | 248 |
| 12000 | 0.27 | 49.82 | 19 | 34 | 63 | 91 | 128 | 196 | 242 |
| 14000 | 0.27 | 49.86 | 18 | 33 | 64 | 92 | 128 | 193 | 242 |
| 16000 | 0.27 | 49.65 | 18 | 33 | 63 | 91 | 128 | 190 | 249 |
| 18000 | 0.28 | 50.44 | 17 | 33 | 63 | 91 | 126 | 195 | 252 |
| 20000 | 0.27 | 50.62 | 18 | 33 | 63 | 91 | 127 | 193 | 261 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Uniform population, size=2000, mean=100.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 0% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.34 | 59.37 | 1 | 9 | 47 | 100 | 152 | 191 | 201 |
| 2000 | 0.27 | 47.75 | 11 | 31 | 64 | 94 | 129 | 184 | 228 |
| 4000 | 0.24 | 44.07 | 26 | 41 | 67 | 93 | 123 | 183 | 229 |
| 6000 | 0.23 | 40.77 | 28 | 43 | 70 | 95 | 123 | 172 | 212 |
| 8000 | 0.23 | 40.68 | 31 | 43 | 70 | 94 | 124 | 173 | 218 |
| 10000 | 0.22 | 40.15 | 33 | 44 | 71 | 95 | 122 | 170 | 221 |
| 12000 | 0.22 | 39.80 | 31 | 44 | 71 | 96 | 122 | 173 | 212 |
| 14000 | 0.22 | 38.70 | 34 | 45 | 71 | 94 | 124 | 170 | 208 |
| 16000 | 0.22 | 38.70 | 30 | 45 | 70 | 95 | 123 | 170 | 207 |
| 18000 | 0.22 | 39.43 | 33 | 45 | 71 | 94 | 123 | 172 | 212 |
| 20000 | 0.22 | 40.09 | 31 | 45 | 70 | 94 | 123 | 175 | 213 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Normally-distributed initial wealth
Strategy: win_take_partial
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps Exchange strategy: winner takes random proportion of wealth from the loser +-------+------+--------+----+----+-----+-----+-----+-----+-----+ | step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% | +-------+------+--------+----+----+-----+-----+-----+-----+-----+ | 0 | 0.11 | 20.22 | 53 | 68 | 86 | 100 | 114 | 132 | 145 | | 2000 | 0.42 | 78.09 | 0 | 3 | 40 | 91 | 138 | 238 | 356 | | 4000 | 0.52 | 102.51 | 0 | 1 | 22 | 70 | 144 | 313 | 466 | | 6000 | 0.56 | 112.76 | 0 | 1 | 17 | 62 | 147 | 325 | 500 | | 8000 | 0.59 | 121.55 | 0 | 0 | 13 | 55 | 140 | 339 | 537 | | 10000 | 0.61 | 126.64 | 0 | 0 | 11 | 50 | 141 | 358 | 538 | | 12000 | 0.61 | 131.69 | 0 | 0 | 11 | 48 | 136 | 364 | 586 | | 14000 | 0.63 | 136.24 | 0 | 0 | 9 | 46 | 140 | 384 | 625 | | 16000 | 0.64 | 140.84 | 0 | 0 | 10 | 46 | 129 | 392 | 616 | | 18000 | 0.63 | 137.27 | 0 | 0 | 10 | 48 | 132 | 385 | 606 | | 20000 | 0.64 | 142.29 | 0 | 0 | 10 | 43 | 128 | 388 | 664 | +-------+------+--------+----+----+-----+-----+-----+-----+-----+
Strategy: win_take_biased
Biased towards the richer party (80%/60%)
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes random proportion of wealth from the loser
however, the richer party has 80% chance of winning
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.11 | 19.12 | 56 | 69 | 88 | 101 | 114 | 132 | 145 |
| 2000 | 0.46 | 87.25 | 0 | 1 | 30 | 89 | 142 | 266 | 371 |
| 4000 | 0.58 | 118.85 | 0 | 0 | 11 | 59 | 152 | 334 | 526 |
| 6000 | 0.65 | 138.96 | 0 | 0 | 4 | 43 | 143 | 403 | 619 |
| 8000 | 0.70 | 158.74 | 0 | 0 | 2 | 28 | 135 | 439 | 667 |
| 10000 | 0.73 | 171.98 | 0 | 0 | 1 | 24 | 124 | 478 | 778 |
| 12000 | 0.75 | 183.61 | 0 | 0 | 1 | 18 | 119 | 488 | 913 |
| 14000 | 0.76 | 192.41 | 0 | 0 | 0 | 17 | 110 | 498 | 881 |
| 16000 | 0.77 | 201.99 | 0 | 0 | 0 | 15 | 109 | 497 | 964 |
| 18000 | 0.78 | 204.40 | 0 | 0 | 0 | 11 | 104 | 519 | 950 |
| 20000 | 0.79 | 210.70 | 0 | 0 | 0 | 9 | 99 | 529 | 969 |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes random proportion of wealth from the loser
however, the richer party has 60% chance of winning
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.12 | 20.44 | 52 | 65 | 86 | 99 | 114 | 132 | 147 |
| 2000 | 0.43 | 79.06 | 0 | 3 | 37 | 90 | 137 | 255 | 358 |
| 4000 | 0.53 | 102.15 | 0 | 0 | 19 | 71 | 147 | 310 | 439 |
| 6000 | 0.58 | 119.19 | 0 | 0 | 13 | 56 | 145 | 339 | 520 |
| 8000 | 0.62 | 128.63 | 0 | 0 | 10 | 47 | 143 | 362 | 551 |
| 10000 | 0.64 | 138.40 | 0 | 0 | 9 | 43 | 138 | 381 | 608 |
| 12000 | 0.65 | 143.91 | 0 | 0 | 7 | 41 | 140 | 390 | 669 |
| 14000 | 0.66 | 144.76 | 0 | 0 | 6 | 38 | 136 | 394 | 690 |
| 16000 | 0.66 | 146.80 | 0 | 0 | 6 | 41 | 131 | 395 | 687 |
| 18000 | 0.67 | 148.08 | 0 | 0 | 6 | 37 | 134 | 411 | 670 |
| 20000 | 0.68 | 151.06 | 0 | 0 | 5 | 36 | 130 | 410 | 707 |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
Biased towards the poorer party (40%/20%)
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes random proportion of wealth from the loser
however, the richer party has 40% chance of winning
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.11 | 20.26 | 54 | 66 | 86 | 99 | 113 | 132 | 149 |
| 2000 | 0.40 | 74.70 | 0 | 5 | 43 | 90 | 134 | 239 | 330 |
| 4000 | 0.49 | 93.45 | 0 | 2 | 27 | 75 | 146 | 291 | 399 |
| 6000 | 0.53 | 104.09 | 0 | 1 | 21 | 66 | 145 | 319 | 443 |
| 8000 | 0.56 | 111.54 | 0 | 1 | 17 | 59 | 145 | 330 | 485 |
| 10000 | 0.56 | 113.16 | 0 | 1 | 17 | 60 | 142 | 331 | 524 |
| 12000 | 0.57 | 117.09 | 0 | 1 | 17 | 56 | 140 | 330 | 527 |
| 14000 | 0.58 | 119.71 | 0 | 1 | 18 | 54 | 140 | 336 | 536 |
| 16000 | 0.58 | 124.52 | 0 | 1 | 17 | 56 | 136 | 353 | 587 |
| 18000 | 0.59 | 127.01 | 0 | 1 | 15 | 53 | 134 | 362 | 611 |
| 20000 | 0.59 | 126.67 | 0 | 1 | 16 | 56 | 135 | 344 | 613 |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes random proportion of wealth from the loser
however, the richer party has 20% chance of winning
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.11 | 19.89 | 55 | 67 | 86 | 100 | 113 | 133 | 146 |
| 2000 | 0.38 | 70.45 | 1 | 7 | 47 | 91 | 133 | 235 | 319 |
| 4000 | 0.45 | 85.91 | 0 | 5 | 34 | 80 | 139 | 264 | 380 |
| 6000 | 0.48 | 91.68 | 0 | 5 | 29 | 74 | 140 | 287 | 409 |
| 8000 | 0.49 | 94.99 | 0 | 4 | 28 | 73 | 143 | 290 | 428 |
| 10000 | 0.51 | 100.55 | 0 | 3 | 27 | 69 | 142 | 294 | 447 |
| 12000 | 0.51 | 102.41 | 0 | 4 | 28 | 69 | 139 | 300 | 465 |
| 14000 | 0.52 | 105.04 | 0 | 4 | 26 | 67 | 139 | 310 | 482 |
| 16000 | 0.52 | 106.26 | 0 | 4 | 25 | 66 | 135 | 318 | 507 |
| 18000 | 0.51 | 105.20 | 0 | 4 | 26 | 67 | 135 | 304 | 494 |
| 20000 | 0.52 | 103.71 | 0 | 3 | 24 | 66 | 141 | 322 | 474 |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
Completely biased towards the poorer party (0%)
i.e., the richer party will give wealth to the poorer party but not vice versa.
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes random proportion of wealth from the loser
however, the richer party has 0% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.11 | 19.74 | 55 | 69 | 86 | 100 | 113 | 133 | 145 |
| 2000 | 0.35 | 64.38 | 3 | 12 | 53 | 92 | 133 | 219 | 295 |
| 4000 | 0.42 | 77.46 | 2 | 8 | 41 | 84 | 138 | 252 | 347 |
| 6000 | 0.43 | 82.70 | 1 | 8 | 39 | 82 | 141 | 254 | 362 |
| 8000 | 0.44 | 86.12 | 1 | 7 | 36 | 78 | 144 | 257 | 381 |
| 10000 | 0.45 | 86.56 | 1 | 8 | 37 | 77 | 138 | 265 | 392 |
| 12000 | 0.45 | 85.50 | 1 | 7 | 35 | 77 | 138 | 269 | 375 |
| 14000 | 0.44 | 85.01 | 1 | 8 | 37 | 77 | 140 | 266 | 388 |
| 16000 | 0.45 | 86.89 | 1 | 8 | 36 | 78 | 135 | 277 | 414 |
| 18000 | 0.45 | 86.06 | 1 | 7 | 37 | 78 | 138 | 269 | 395 |
| 20000 | 0.45 | 86.68 | 2 | 7 | 35 | 78 | 136 | 277 | 407 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Strategy: win_take_layer
Proportion of wealth taken with Lvl.2 resistance to loss
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 80% chance of winning
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.11 | 20.21 | 53 | 67 | 86 | 99 | 113 | 133 | 147 |
| 2000 | 0.35 | 64.88 | 5 | 16 | 51 | 91 | 133 | 221 | 307 |
| 4000 | 0.45 | 84.26 | 1 | 7 | 34 | 78 | 142 | 259 | 381 |
| 6000 | 0.51 | 98.80 | 0 | 3 | 24 | 67 | 148 | 298 | 423 |
| 8000 | 0.56 | 110.06 | 0 | 1 | 17 | 59 | 149 | 314 | 479 |
| 10000 | 0.59 | 120.04 | 0 | 1 | 14 | 53 | 141 | 335 | 536 |
| 12000 | 0.62 | 128.11 | 0 | 0 | 11 | 46 | 139 | 359 | 590 |
| 14000 | 0.64 | 134.94 | 0 | 0 | 9 | 41 | 140 | 389 | 617 |
| 16000 | 0.65 | 140.36 | 0 | 0 | 8 | 40 | 138 | 398 | 658 |
| 18000 | 0.66 | 145.35 | 0 | 0 | 6 | 36 | 129 | 406 | 707 |
| 20000 | 0.67 | 148.88 | 0 | 0 | 6 | 37 | 130 | 411 | 718 |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 60% chance of winning
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.11 | 20.12 | 53 | 65 | 86 | 99 | 113 | 133 | 146 |
| 2000 | 0.32 | 57.30 | 7 | 20 | 57 | 94 | 132 | 203 | 260 |
| 4000 | 0.40 | 72.79 | 3 | 11 | 42 | 85 | 140 | 239 | 325 |
| 6000 | 0.44 | 81.13 | 2 | 7 | 36 | 79 | 143 | 258 | 340 |
| 8000 | 0.47 | 88.43 | 1 | 6 | 32 | 73 | 144 | 276 | 379 |
| 10000 | 0.48 | 92.42 | 0 | 5 | 30 | 72 | 140 | 297 | 393 |
| 12000 | 0.50 | 95.92 | 1 | 4 | 27 | 70 | 141 | 299 | 422 |
| 14000 | 0.50 | 97.75 | 1 | 4 | 27 | 68 | 137 | 300 | 434 |
| 16000 | 0.51 | 100.36 | 0 | 4 | 25 | 70 | 138 | 316 | 438 |
| 18000 | 0.52 | 103.27 | 0 | 3 | 25 | 68 | 137 | 308 | 464 |
| 20000 | 0.52 | 104.11 | 0 | 3 | 24 | 65 | 142 | 304 | 462 |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 50% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.11 | 20.27 | 54 | 66 | 85 | 99 | 113 | 133 | 146 |
| 2000 | 0.29 | 53.04 | 10 | 23 | 60 | 94 | 129 | 195 | 255 |
| 4000 | 0.36 | 66.03 | 4 | 17 | 51 | 87 | 136 | 218 | 315 |
| 6000 | 0.41 | 75.89 | 3 | 10 | 42 | 80 | 138 | 249 | 339 |
| 8000 | 0.43 | 80.55 | 2 | 8 | 40 | 79 | 139 | 258 | 364 |
| 10000 | 0.44 | 83.49 | 1 | 8 | 37 | 75 | 141 | 264 | 381 |
| 12000 | 0.45 | 86.56 | 1 | 8 | 34 | 75 | 139 | 274 | 371 |
| 14000 | 0.46 | 88.63 | 2 | 8 | 33 | 74 | 140 | 280 | 386 |
| 16000 | 0.46 | 89.33 | 1 | 7 | 34 | 74 | 139 | 279 | 414 |
| 18000 | 0.46 | 90.39 | 1 | 6 | 33 | 74 | 140 | 275 | 398 |
| 20000 | 0.46 | 90.30 | 1 | 7 | 34 | 76 | 133 | 285 | 412 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 40% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.12 | 20.42 | 52 | 65 | 86 | 99 | 113 | 133 | 149 |
| 2000 | 0.28 | 51.41 | 10 | 25 | 63 | 95 | 128 | 193 | 246 |
| 4000 | 0.34 | 63.14 | 7 | 18 | 52 | 90 | 133 | 216 | 291 |
| 6000 | 0.38 | 71.39 | 5 | 16 | 47 | 86 | 136 | 231 | 342 |
| 8000 | 0.40 | 75.42 | 3 | 13 | 44 | 81 | 137 | 242 | 355 |
| 10000 | 0.41 | 77.91 | 4 | 12 | 43 | 80 | 137 | 247 | 366 |
| 12000 | 0.42 | 79.93 | 4 | 12 | 40 | 78 | 138 | 263 | 341 |
| 14000 | 0.43 | 82.32 | 3 | 10 | 39 | 77 | 140 | 259 | 378 |
| 16000 | 0.43 | 80.83 | 3 | 11 | 41 | 76 | 139 | 258 | 367 |
| 18000 | 0.42 | 80.13 | 3 | 10 | 41 | 79 | 134 | 262 | 373 |
| 20000 | 0.42 | 82.38 | 3 | 12 | 41 | 79 | 132 | 265 | 399 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 20% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.11 | 20.22 | 52 | 66 | 86 | 99 | 113 | 132 | 146 |
| 2000 | 0.26 | 46.45 | 18 | 31 | 67 | 96 | 125 | 184 | 235 |
| 4000 | 0.30 | 54.12 | 11 | 27 | 60 | 92 | 129 | 202 | 251 |
| 6000 | 0.33 | 59.88 | 10 | 23 | 54 | 89 | 133 | 209 | 278 |
| 8000 | 0.33 | 61.40 | 10 | 23 | 55 | 88 | 132 | 218 | 297 |
| 10000 | 0.33 | 60.39 | 10 | 23 | 54 | 88 | 132 | 213 | 291 |
| 12000 | 0.33 | 61.03 | 10 | 23 | 54 | 87 | 133 | 217 | 284 |
| 14000 | 0.34 | 62.35 | 8 | 23 | 54 | 86 | 133 | 216 | 302 |
| 16000 | 0.34 | 62.91 | 9 | 22 | 54 | 86 | 132 | 220 | 296 |
| 18000 | 0.34 | 62.94 | 9 | 21 | 52 | 88 | 133 | 221 | 297 |
| 20000 | 0.34 | 64.07 | 9 | 20 | 52 | 88 | 132 | 220 | 317 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 2
the richer party has 0% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.11 | 19.94 | 53 | 67 | 86 | 99 | 113 | 132 | 146 |
| 2000 | 0.23 | 41.21 | 21 | 40 | 71 | 95 | 122 | 175 | 220 |
| 4000 | 0.26 | 46.41 | 18 | 34 | 66 | 94 | 125 | 187 | 230 |
| 6000 | 0.27 | 48.34 | 16 | 33 | 64 | 93 | 126 | 191 | 240 |
| 8000 | 0.27 | 49.23 | 18 | 33 | 64 | 91 | 126 | 194 | 242 |
| 10000 | 0.27 | 49.67 | 16 | 33 | 63 | 92 | 127 | 189 | 257 |
| 12000 | 0.27 | 48.85 | 17 | 33 | 63 | 92 | 126 | 191 | 246 |
| 14000 | 0.27 | 49.40 | 18 | 32 | 64 | 92 | 129 | 190 | 244 |
| 16000 | 0.27 | 49.98 | 16 | 32 | 63 | 91 | 128 | 193 | 253 |
| 18000 | 0.27 | 50.01 | 15 | 32 | 63 | 94 | 128 | 193 | 253 |
| 20000 | 0.28 | 50.95 | 18 | 32 | 61 | 93 | 127 | 196 | 246 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Proportion of wealth taken with Lvl.5 resistance to loss
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 80% chance of winning
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.11 | 19.74 | 55 | 68 | 86 | 100 | 114 | 131 | 146 |
| 2000 | 0.33 | 59.36 | 12 | 21 | 53 | 92 | 134 | 209 | 272 |
| 4000 | 0.43 | 79.73 | 3 | 11 | 37 | 80 | 143 | 256 | 348 |
| 6000 | 0.49 | 94.23 | 1 | 6 | 27 | 69 | 144 | 292 | 398 |
| 8000 | 0.54 | 106.79 | 0 | 3 | 21 | 62 | 144 | 319 | 468 |
| 10000 | 0.57 | 114.94 | 0 | 2 | 17 | 56 | 143 | 341 | 499 |
| 12000 | 0.59 | 120.87 | 0 | 1 | 14 | 51 | 140 | 357 | 537 |
| 14000 | 0.61 | 126.82 | 0 | 1 | 12 | 50 | 139 | 372 | 588 |
| 16000 | 0.61 | 131.03 | 0 | 0 | 12 | 48 | 139 | 371 | 604 |
| 18000 | 0.62 | 133.96 | 0 | 0 | 12 | 45 | 139 | 374 | 629 |
| 20000 | 0.64 | 138.94 | 0 | 0 | 10 | 43 | 134 | 391 | 634 |
+-------+------+--------+----+----+-----+-----+-----+-----+-----+
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 60% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.11 | 20.07 | 54 | 66 | 86 | 100 | 114 | 132 | 143 |
| 2000 | 0.29 | 51.72 | 14 | 28 | 62 | 94 | 130 | 193 | 243 |
| 4000 | 0.37 | 68.28 | 7 | 18 | 48 | 85 | 135 | 229 | 320 |
| 6000 | 0.41 | 77.44 | 4 | 12 | 42 | 80 | 136 | 256 | 358 |
| 8000 | 0.43 | 82.42 | 2 | 10 | 39 | 78 | 136 | 266 | 378 |
| 10000 | 0.46 | 87.46 | 2 | 8 | 35 | 76 | 137 | 280 | 400 |
| 12000 | 0.46 | 88.06 | 1 | 7 | 33 | 74 | 139 | 277 | 391 |
| 14000 | 0.47 | 91.03 | 2 | 7 | 34 | 73 | 138 | 275 | 423 |
| 16000 | 0.47 | 91.87 | 1 | 7 | 32 | 71 | 141 | 285 | 412 |
| 18000 | 0.48 | 91.96 | 1 | 5 | 32 | 73 | 139 | 278 | 418 |
| 20000 | 0.48 | 93.86 | 1 | 7 | 30 | 73 | 137 | 286 | 437 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 50% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.11 | 20.16 | 56 | 67 | 86 | 101 | 114 | 133 | 146 |
| 2000 | 0.27 | 49.53 | 15 | 30 | 64 | 95 | 129 | 192 | 236 |
| 4000 | 0.34 | 61.91 | 11 | 22 | 53 | 89 | 134 | 216 | 294 |
| 6000 | 0.37 | 67.70 | 6 | 17 | 49 | 86 | 138 | 234 | 303 |
| 8000 | 0.38 | 71.30 | 4 | 14 | 47 | 84 | 138 | 232 | 324 |
| 10000 | 0.39 | 73.99 | 4 | 13 | 46 | 83 | 137 | 249 | 333 |
| 12000 | 0.40 | 76.03 | 4 | 12 | 45 | 82 | 137 | 247 | 341 |
| 14000 | 0.41 | 79.08 | 5 | 13 | 44 | 81 | 137 | 260 | 369 |
| 16000 | 0.40 | 77.96 | 5 | 15 | 43 | 81 | 138 | 259 | 369 |
| 18000 | 0.41 | 78.87 | 4 | 14 | 41 | 80 | 140 | 258 | 374 |
| 20000 | 0.41 | 77.99 | 4 | 14 | 43 | 81 | 136 | 258 | 359 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 40% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.11 | 19.96 | 53 | 64 | 85 | 99 | 112 | 132 | 145 |
| 2000 | 0.26 | 45.61 | 20 | 34 | 66 | 94 | 126 | 182 | 229 |
| 4000 | 0.30 | 54.92 | 13 | 25 | 57 | 91 | 130 | 201 | 265 |
| 6000 | 0.34 | 61.87 | 11 | 22 | 53 | 87 | 129 | 221 | 284 |
| 8000 | 0.34 | 63.16 | 10 | 22 | 52 | 85 | 132 | 223 | 294 |
| 10000 | 0.36 | 66.49 | 9 | 20 | 50 | 86 | 131 | 221 | 318 |
| 12000 | 0.36 | 66.85 | 9 | 19 | 50 | 86 | 132 | 225 | 318 |
| 14000 | 0.36 | 67.75 | 8 | 20 | 49 | 85 | 132 | 229 | 309 |
| 16000 | 0.36 | 68.00 | 7 | 18 | 50 | 84 | 131 | 233 | 314 |
| 18000 | 0.36 | 67.65 | 9 | 20 | 50 | 84 | 132 | 235 | 314 |
| 20000 | 0.36 | 67.11 | 6 | 19 | 50 | 84 | 132 | 229 | 320 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 20% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.11 | 20.43 | 53 | 67 | 86 | 100 | 114 | 134 | 147 |
| 2000 | 0.23 | 40.95 | 26 | 43 | 70 | 96 | 124 | 173 | 219 |
| 4000 | 0.25 | 46.32 | 23 | 36 | 66 | 93 | 127 | 185 | 230 |
| 6000 | 0.27 | 49.86 | 20 | 33 | 64 | 92 | 127 | 195 | 252 |
| 8000 | 0.27 | 50.31 | 20 | 32 | 63 | 92 | 130 | 191 | 250 |
| 10000 | 0.27 | 49.61 | 22 | 35 | 65 | 91 | 127 | 194 | 251 |
| 12000 | 0.27 | 49.87 | 22 | 34 | 62 | 91 | 129 | 192 | 245 |
| 14000 | 0.27 | 50.27 | 19 | 32 | 64 | 93 | 127 | 194 | 252 |
| 16000 | 0.28 | 51.19 | 19 | 33 | 63 | 91 | 130 | 197 | 251 |
| 18000 | 0.27 | 50.74 | 19 | 34 | 63 | 93 | 128 | 189 | 254 |
| 20000 | 0.28 | 52.51 | 18 | 33 | 62 | 90 | 126 | 200 | 268 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Normal population, size=2000, mean=100.0, std=20.0, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 0% chance of winning
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
| 0 | 0.11 | 19.59 | 55 | 67 | 87 | 101 | 112 | 132 | 145 |
| 2000 | 0.20 | 35.48 | 35 | 50 | 74 | 96 | 120 | 164 | 201 |
| 4000 | 0.21 | 38.32 | 34 | 47 | 72 | 95 | 121 | 171 | 208 |
| 6000 | 0.21 | 38.48 | 35 | 46 | 71 | 95 | 124 | 170 | 206 |
| 8000 | 0.21 | 38.70 | 32 | 47 | 71 | 95 | 123 | 171 | 205 |
| 10000 | 0.22 | 39.97 | 33 | 45 | 71 | 94 | 124 | 175 | 211 |
| 12000 | 0.22 | 39.67 | 33 | 45 | 70 | 94 | 124 | 173 | 211 |
| 14000 | 0.22 | 39.52 | 32 | 45 | 72 | 94 | 122 | 174 | 211 |
| 16000 | 0.22 | 40.16 | 33 | 45 | 71 | 94 | 123 | 176 | 217 |
| 18000 | 0.22 | 39.41 | 33 | 47 | 71 | 93 | 122 | 174 | 216 |
| 20000 | 0.22 | 40.60 | 35 | 46 | 70 | 93 | 123 | 177 | 217 |
+-------+------+-------+----+----+-----+-----+-----+-----+-----+
Distribution fitting
We are simulating only for equally-distributed initial wealth, since previous simulation can already lead to the conclusion that initial wealth distribution hardly makes any distribution in the long term.
Distributions are chosen from scipy.stats and fitted to the normalized histogram.
Each fit will be computed its Mean-squared error (MSE), and performed the Kolmogorov-Smirnov test for goodness of fit.
Top 20 fits (with the least MSEs) will be plotted and printed out.
Fitting with transaction function win_take_layer, simulating 200000 steps Testing on equal population of size=2000, mean=100.00, transaction bias=60%, layers=1 +--------------+----------+----------+----------+ +--------------+----------+----------+----------+ | distr | MSE | KS-stat | KS-pval | | distr | MSE | KS-stat | KS-pval | +--------------+----------+----------+----------+ +--------------+----------+----------+----------+ | fatiguelife | 5.38E-06 | 8.62E-02 | 2.30E-13 | | levy | 1.59E-05 | 1.21E-01 | 8.09E-26 | | johnsonsb | 5.65E-06 | 6.41E-02 | 1.40E-07 | | exponweib | 1.59E-05 | 2.77E-02 | 9.05E-02 | | johnsonsu | 7.86E-06 | 6.91E-02 | 9.44E-09 | | invgauss | 1.70E-05 | 8.21E-02 | 3.60E-12 | | lognorm | 7.87E-06 | 6.93E-02 | 8.67E-09 | | norminvgauss | 1.71E-05 | 8.21E-02 | 3.61E-12 | | powerlognorm | 9.49E-06 | 5.02E-02 | 8.00E-05 | | invweibull | 1.74E-05 | 7.78E-02 | 5.52E-11 | | fisk | 9.84E-06 | 6.25E-02 | 3.03E-07 | | genextreme | 1.74E-05 | 7.78E-02 | 5.52E-11 | | mielke | 1.06E-05 | 8.42E-02 | 8.82E-13 | | kappa3 | 1.83E-05 | 5.87E-02 | 1.97E-06 | | halfgennorm | 1.08E-05 | 4.05E-02 | 2.75E-03 | | betaprime | 2.06E-05 | 7.16E-02 | 2.34E-09 | | gamma | 1.30E-05 | 1.11E-01 | 7.70E-22 | | weibull_min | 2.15E-05 | 2.67E-02 | 1.13E-01 | | burr12 | 1.43E-05 | 6.01E-02 | 1.03E-06 | | invgamma | 2.54E-05 | 7.73E-02 | 7.61E-11 | +--------------+----------+----------+----------+ +--------------+----------+----------+----------+
Fitting with transaction function win_take_layer, simulating 200000 steps Testing on equal population of size=2000, mean=100.00, transaction bias=50%, layers=1 +---------------+----------+----------+----------+ +---------------+----------+----------+----------+ | distr | MSE | KS-stat | KS-pval | | distr | MSE | KS-stat | KS-pval | +---------------+----------+----------+----------+ +---------------+----------+----------+----------+ | geninvgauss | 5.67E-06 | 4.25E-02 | 1.43E-03 | | gengamma | 1.14E-05 | 1.96E-02 | 4.24E-01 | | betaprime | 6.30E-06 | 4.84E-02 | 1.66E-04 | | weibull_min | 1.22E-05 | 2.15E-02 | 3.11E-01 | | chi2 | 7.58E-06 | 2.16E-02 | 3.06E-01 | | halfgennorm | 1.24E-05 | 3.34E-02 | 2.28E-02 | | gamma | 8.13E-06 | 1.95E-02 | 4.28E-01 | | pearson3 | 1.27E-05 | 1.88E-02 | 4.71E-01 | | genhyperbolic | 8.48E-06 | 1.00E+00 | 0.00E+00 | | burr | 1.31E-05 | 3.27E-02 | 2.70E-02 | | recipinvgauss | 8.60E-06 | 4.63E-02 | 3.65E-04 | | exponweib | 1.32E-05 | 2.29E-02 | 2.42E-01 | | erlang | 8.96E-06 | 1.32E-02 | 8.74E-01 | | exponpow | 1.37E-05 | 2.98E-02 | 5.57E-02 | | beta | 9.78E-06 | 1.32E-02 | 8.71E-01 | | johnsonsb | 1.38E-05 | 4.58E-02 | 4.31E-04 | | mielke | 1.11E-05 | 4.64E-02 | 3.46E-04 | | fatiguelife | 1.80E-05 | 5.96E-02 | 1.31E-06 | | burr12 | 1.12E-05 | 6.20E-02 | 3.90E-07 | | nakagami | 2.42E-05 | 4.88E-02 | 1.39E-04 | +---------------+----------+----------+----------+ +---------------+----------+----------+----------+
Fitting with transaction function win_take_layer, simulating 200000 steps Testing on equal population of size=2000, mean=100.00, transaction bias=60%, layers=5 +--------------------+----------+----------+----------+ +--------------------+----------+----------+----------+ | distr | MSE | KS-stat | KS-pval | | distr | MSE | KS-stat | KS-pval | +--------------------+----------+----------+----------+ +--------------------+----------+----------+----------+ | geninvgauss | 5.51E-06 | 1.16E-02 | 9.47E-01 | | genhyperbolic | 6.28E-06 | 1.00E+00 | 0.00E+00 | | gamma | 5.51E-06 | 1.16E-02 | 9.47E-01 | | genexpon | 6.56E-06 | 1.71E-02 | 5.99E-01 | | pearson3 | 5.51E-06 | 1.16E-02 | 9.47E-01 | | genpareto | 9.95E-06 | 2.78E-02 | 8.88E-02 | | chi2 | 5.51E-06 | 1.16E-02 | 9.47E-01 | | gompertz | 1.01E-05 | 2.81E-02 | 8.26E-02 | | exponweib | 5.51E-06 | 1.14E-02 | 9.55E-01 | | halflogistic | 1.04E-05 | 4.03E-02 | 2.90E-03 | | burr12 | 5.55E-06 | 1.29E-02 | 8.88E-01 | | recipinvgauss | 1.04E-05 | 3.14E-02 | 3.79E-02 | | betaprime | 5.56E-06 | 1.41E-02 | 8.18E-01 | | kappa3 | 1.08E-05 | 3.00E-02 | 5.30E-02 | | f | 5.62E-06 | 1.52E-02 | 7.39E-01 | | burr | 1.12E-05 | 3.02E-02 | 5.13E-02 | | ncf | 5.94E-06 | 1.31E-02 | 8.80E-01 | | genhalflogistic | 1.19E-05 | 4.71E-02 | 2.66E-04 | | beta | 6.24E-06 | 2.33E-02 | 2.24E-01 | | laplace_asymmetric | 1.31E-05 | 3.89E-02 | 4.55E-03 | +--------------------+----------+----------+----------+ +--------------------+----------+----------+----------+
Fitting with transaction function win_take_layer, simulating 200000 steps Testing on equal population of size=2000, mean=100.00, transaction bias=50%, layers=5 +---------------+----------+----------+----------+ +---------------+----------+----------+----------+ | distr | MSE | KS-stat | KS-pval | | distr | MSE | KS-stat | KS-pval | +---------------+----------+----------+----------+ +---------------+----------+----------+----------+ | ncf | 1.63E-05 | 1.25E-02 | 9.08E-01 | | exponweib | 1.93E-05 | 2.92E-02 | 6.41E-02 | | gengamma | 1.64E-05 | 1.41E-02 | 8.19E-01 | | mielke | 2.08E-05 | 1.80E-02 | 5.31E-01 | | beta | 1.67E-05 | 1.47E-02 | 7.71E-01 | | burr | 2.08E-05 | 1.81E-02 | 5.23E-01 | | burr12 | 1.73E-05 | 1.71E-02 | 5.95E-01 | | johnsonsb | 2.23E-05 | 2.46E-02 | 1.74E-01 | | genhyperbolic | 1.76E-05 | 1.00E+00 | 0.00E+00 | | fatiguelife | 2.52E-05 | 2.50E-02 | 1.61E-01 | | pearson3 | 1.76E-05 | 1.88E-02 | 4.73E-01 | | norminvgauss | 2.64E-05 | 2.62E-02 | 1.27E-01 | | gamma | 1.76E-05 | 1.88E-02 | 4.73E-01 | | kappa3 | 2.75E-05 | 2.49E-02 | 1.64E-01 | | geninvgauss | 1.76E-05 | 1.88E-02 | 4.77E-01 | | johnsonsu | 2.86E-05 | 2.86E-02 | 7.38E-02 | | betaprime | 1.76E-05 | 1.87E-02 | 4.83E-01 | | nakagami | 2.86E-05 | 4.94E-02 | 1.12E-04 | | f | 1.77E-05 | 1.92E-02 | 4.46E-01 | | chi | 2.87E-05 | 4.93E-02 | 1.18E-04 | +---------------+----------+----------+----------+ +---------------+----------+----------+----------+
Taxed transactions
We are simulating only for equally-distributed initial wealth, 60% bias towards the rich, and Lvl.5 resistance to loss, since this combination of parameters is the most similar to the modern society.
Equal population, size=2000, mean=100.00, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 60% chance of winning
there is a 3% tax for each exchange, later distributed among all
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.27 | 48.23 | 15 | 30 | 64 | 100 | 130 | 181 | 241 |
| 4000 | 0.35 | 63.57 | 9 | 19 | 50 | 90 | 134 | 219 | 290 |
| 6000 | 0.39 | 72.17 | 6 | 15 | 44 | 82 | 140 | 243 | 315 |
| 8000 | 0.41 | 77.31 | 4 | 12 | 41 | 80 | 138 | 257 | 341 |
| 10000 | 0.44 | 83.79 | 4 | 9 | 37 | 77 | 141 | 260 | 363 |
| 12000 | 0.44 | 84.06 | 3 | 9 | 38 | 76 | 140 | 268 | 371 |
| 14000 | 0.45 | 84.82 | 3 | 9 | 34 | 77 | 138 | 269 | 374 |
| 16000 | 0.45 | 87.04 | 2 | 8 | 35 | 76 | 140 | 274 | 397 |
| 18000 | 0.46 | 88.42 | 2 | 9 | 35 | 73 | 139 | 275 | 405 |
| 20000 | 0.47 | 91.21 | 3 | 7 | 33 | 74 | 139 | 280 | 435 |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
Equal population, size=2000, mean=100.00, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 60% chance of winning
there is a 10% tax for each exchange, later distributed among all
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.26 | 46.05 | 17 | 31 | 66 | 103 | 126 | 179 | 239 |
| 4000 | 0.34 | 61.59 | 11 | 21 | 52 | 90 | 133 | 216 | 290 |
| 6000 | 0.37 | 68.69 | 8 | 17 | 46 | 85 | 137 | 233 | 304 |
| 8000 | 0.40 | 75.11 | 7 | 14 | 42 | 81 | 139 | 252 | 327 |
| 10000 | 0.42 | 79.68 | 6 | 14 | 41 | 76 | 137 | 264 | 355 |
| 12000 | 0.44 | 84.55 | 5 | 12 | 37 | 74 | 135 | 271 | 404 |
| 14000 | 0.44 | 87.26 | 6 | 12 | 37 | 73 | 136 | 273 | 410 |
| 16000 | 0.44 | 87.39 | 5 | 12 | 38 | 72 | 138 | 271 | 407 |
| 18000 | 0.45 | 88.05 | 5 | 11 | 36 | 73 | 138 | 274 | 411 |
| 20000 | 0.45 | 88.21 | 5 | 11 | 34 | 75 | 137 | 279 | 410 |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
Equal population, size=2000, mean=100.00, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 60% chance of winning
there is a 20% tax for each exchange, later distributed among all
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.24 | 43.41 | 19 | 34 | 67 | 103 | 129 | 175 | 213 |
| 4000 | 0.32 | 57.90 | 14 | 25 | 55 | 89 | 134 | 210 | 262 |
| 6000 | 0.36 | 65.81 | 9 | 19 | 49 | 84 | 138 | 221 | 301 |
| 8000 | 0.37 | 70.14 | 8 | 18 | 47 | 84 | 135 | 240 | 333 |
| 10000 | 0.40 | 75.03 | 8 | 15 | 43 | 81 | 136 | 247 | 356 |
| 12000 | 0.41 | 77.85 | 7 | 16 | 41 | 78 | 137 | 258 | 357 |
| 14000 | 0.42 | 79.98 | 8 | 15 | 41 | 78 | 134 | 257 | 391 |
| 16000 | 0.42 | 82.76 | 9 | 15 | 40 | 76 | 136 | 260 | 413 |
| 18000 | 0.42 | 83.74 | 8 | 15 | 40 | 77 | 133 | 262 | 427 |
| 20000 | 0.42 | 83.28 | 8 | 14 | 40 | 76 | 133 | 264 | 374 |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
Equal population, size=2000, mean=100.00, simulating 20000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 60% chance of winning
there is a 45% tax for each exchange, later distributed among all
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 2000 | 0.22 | 38.77 | 25 | 37 | 70 | 105 | 127 | 163 | 186 |
| 4000 | 0.29 | 50.73 | 19 | 29 | 59 | 93 | 134 | 188 | 234 |
| 6000 | 0.31 | 56.12 | 15 | 26 | 56 | 89 | 136 | 202 | 258 |
| 8000 | 0.33 | 61.04 | 17 | 27 | 53 | 85 | 131 | 222 | 285 |
| 10000 | 0.34 | 64.20 | 15 | 25 | 52 | 85 | 132 | 232 | 317 |
| 12000 | 0.35 | 65.78 | 16 | 24 | 50 | 84 | 133 | 228 | 318 |
| 14000 | 0.35 | 65.78 | 14 | 23 | 51 | 84 | 131 | 229 | 309 |
| 16000 | 0.36 | 68.25 | 14 | 23 | 49 | 82 | 131 | 236 | 320 |
| 18000 | 0.37 | 69.16 | 12 | 21 | 49 | 83 | 132 | 233 | 328 |
| 20000 | 0.36 | 69.61 | 13 | 24 | 49 | 81 | 130 | 240 | 330 |
+-------+------+-------+-----+-----+-----+-----+-----+-----+-----+
Real-world economy simulation
(Based on the policy of taxes on personal income enforced by People's Republic of China)
Equal population, size=2000, mean=100.00, simulating 200000 steps
Exchange strategy: winner takes some proportion of wealth from the loser
with the loser resisting the loss of wealth at Lvl. 5
the richer party has 60% chance of winning
there is a certain amount of tax extracted from each transaction
Tax policy:
+-----------------------------------+----------+
| Taxable wealth | Tax rate |
+-----------------------------------+----------+
| below 0.15 times initial mean | 3% |
| 0.15 to 0.50 times initial mean | 10% |
| 0.50 to 1.04 times initial mean | 20% |
| 1.04 to 1.96 times initial mean | 25% |
| 1.96 to 2.29 times initial mean | 30% |
| 2.29 to 3.33 times initial mean | 35% |
| above 3.33 times initial mean | 45% |
+-----------------------------------+----------+
Simulation results:
+--------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| step | gini | std | 1% | 5% | 25% | 50% | 75% | 95% | 99% |
+--------+------+-------+-----+-----+-----+-----+-----+-----+-----+
| 0 | 0.00 | 0.00 | 100 | 100 | 100 | 100 | 100 | 100 | 100 |
| 20000 | 0.45 | 85.33 | 5 | 11 | 35 | 77 | 136 | 271 | 390 |
| 40000 | 0.44 | 84.68 | 5 | 11 | 36 | 76 | 138 | 268 | 396 |
| 60000 | 0.44 | 85.21 | 5 | 12 | 37 | 75 | 137 | 260 | 400 |
| 80000 | 0.44 | 85.50 | 5 | 12 | 37 | 74 | 136 | 271 | 401 |
| 100000 | 0.44 | 85.67 | 5 | 11 | 37 | 77 | 134 | 276 | 387 |
| 120000 | 0.44 | 85.41 | 5 | 12 | 39 | 76 | 133 | 280 | 407 |
| 140000 | 0.45 | 87.31 | 4 | 10 | 36 | 74 | 136 | 269 | 414 |
| 160000 | 0.45 | 86.74 | 5 | 11 | 35 | 74 | 139 | 275 | 407 |
| 180000 | 0.44 | 86.12 | 5 | 11 | 37 | 74 | 137 | 270 | 399 |
| 200000 | 0.45 | 87.59 | 4 | 10 | 35 | 75 | 136 | 270 | 404 |
+--------+------+-------+-----+-----+-----+-----+-----+-----+-----+
Distribution fitting: +---------------+----------+----------+----------+ +---------------+----------+----------+----------+ | distr | MSE | KS-stat | KS-pval | | distr | MSE | KS-stat | KS-pval | +---------------+----------+----------+----------+ +---------------+----------+----------+----------+ | betaprime | 2.04E-06 | 1.01E-02 | 9.85E-01 | | beta | 3.87E-06 | 3.13E-02 | 3.85E-02 | | f | 2.04E-06 | 1.01E-02 | 9.85E-01 | | genexpon | 4.79E-06 | 2.38E-02 | 2.04E-01 | | erlang | 2.06E-06 | 1.16E-02 | 9.48E-01 | | burr12 | 5.85E-06 | 2.19E-02 | 2.87E-01 | | pearson3 | 2.06E-06 | 1.16E-02 | 9.48E-01 | | mielke | 6.41E-06 | 2.58E-02 | 1.38E-01 | | gamma | 2.06E-06 | 1.16E-02 | 9.48E-01 | | recipinvgauss | 6.96E-06 | 2.98E-02 | 5.58E-02 | | chi2 | 2.06E-06 | 1.16E-02 | 9.48E-01 | | johnsonsb | 7.64E-06 | 2.94E-02 | 6.24E-02 | | exponweib | 2.10E-06 | 1.21E-02 | 9.30E-01 | | kappa3 | 8.27E-06 | 2.17E-02 | 3.01E-01 | | geninvgauss | 2.28E-06 | 1.24E-02 | 9.16E-01 | | fatiguelife | 8.44E-06 | 3.28E-02 | 2.66E-02 | | ncf | 2.78E-06 | 1.51E-02 | 7.45E-01 | | halflogistic | 8.52E-06 | 2.17E-02 | 3.00E-01 | | genhyperbolic | 3.17E-06 | 1.00E+00 | 0.00E+00 | | burr | 8.96E-06 | 3.91E-02 | 4.34E-03 | +---------------+----------+----------+----------+ +---------------+----------+----------+----------+
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