Resistance to Sybil Attacks from Fidelity Bonds
Sybil attacks from external enemies.
Assuming the makers in the offerbook right now are not sybil attackers, how much would a sybil attacker starting now have to sacrifice to succeed in their attack with 95% probability. Honest weight=0.0000723699338408 BTC
1.3Also assumes that takers are not price-sensitive and that their max coinjoin fee is configured high enough that they dont exclude any makers.
| Maker count | 6month locked coins / BTC | 1y locked coins / BTC | 2y locked coins / BTC | 5y locked coins / BTC | 10y locked coins / BTC | Required burned coins / BTC |
|---|
| 1 | 59.66106625 | 29.83053312 | 14.91526656 | 5.96610662 | 2.98305331 | 0.03728817 |
| 2 | 146.16648287 | 73.08324143 | 36.54162072 | 14.61664829 | 7.30832414 | 0.09135405 |
| 3 | 242.86014722 | 121.43007361 | 60.71503681 | 24.28601472 | 12.14300736 | 0.15178759 |
| 4 | 345.52797894 | 172.76398947 | 86.38199474 | 34.55279789 | 17.27639895 | 0.21595499 |
| 5 | 452.44115041 | 226.22057521 | 113.11028760 | 45.24411504 | 22.62205752 | 0.28277572 |
| 6 | 562.62825012 | 281.31412506 | 140.65706253 | 56.26282501 | 28.13141251 | 0.35164266 |
| 7 | 675.46983642 | 337.73491821 | 168.86745911 | 67.54698364 | 33.77349182 | 0.42216865 |
| 8 | 790.53784679 | 395.26892339 | 197.63446170 | 79.05378468 | 39.52689234 | 0.49408615 |
| 9 | 907.51949352 | 453.75974676 | 226.87987338 | 90.75194935 | 45.37597468 | 0.56719968 |
| 10 | 1026.17663736 | 513.08831868 | 256.54415934 | 102.61766374 | 51.30883187 | 0.64136040 |
| 11 | 1146.32216534 | 573.16108267 | 286.58054133 | 114.63221653 | 57.31610827 | 0.71645135 |
| 12 | 1267.80533954 | 633.90266977 | 316.95133489 | 126.78053395 | 63.39026698 | 0.79237834 |
| 13 | 1390.50223830 | 695.25111915 | 347.62555957 | 139.05022383 | 69.52511191 | 0.86906390 |
| 14 | 1512.16954316 | 756.08477158 | 378.04238579 | 151.21695432 | 75.60847716 | 0.94510596 |
| 15 | 1636.94285897 | 818.47142948 | 409.23571474 | 163.69428590 | 81.84714295 | 1.02308929 |
| 16 | 1758.74898793 | 879.37449397 | 439.68724698 | 175.87489879 | 87.93744940 | 1.09921812 |
| 17 | 1884.07011644 | 942.03505822 | 471.01752911 | 188.40701164 | 94.20350582 | 1.17754382 |
| 18 | 2010.14955540 | 1005.07477770 | 502.53738885 | 201.01495554 | 100.50747777 | 1.25634347 |
| 19 | 2136.94135742 | 1068.47067871 | 534.23533935 | 213.69413574 | 106.84706787 | 1.33558835 |
| 20 | 2264.40465424 | 1132.20232712 | 566.10116356 | 226.44046542 | 113.22023271 | 1.41525291 |
| 21 | 2392.50286823 | 1196.25143412 | 598.12571706 | 239.25028682 | 119.62514341 | 1.49531429 |
| 22 | 2521.20307806 | 1260.60153903 | 630.30076951 | 252.12030781 | 126.06015390 | 1.57575192 |
| 23 | 2650.47550282 | 1325.23775141 | 662.61887571 | 265.04755028 | 132.52377514 | 1.65654719 |
| 24 | 2780.29307830 | 1390.14653915 | 695.07326957 | 278.02930783 | 139.01465391 | 1.73768317 |
| 25 | 2910.63110567 | 1455.31555283 | 727.65777642 | 291.06311057 | 145.53155528 | 1.81914444 |
Sybil attacks from enemies within
Assume a sybil attack is ongoing right now and that the counterparties with the most valuable fidelity bonds are actually controlled by the same entity. Then, what is the probability of a successful sybil attack for a given makercount, and what is the fidelity bond value being foregone by not putting all bitcoins into just one maker.
| Maker count | Success probability | Foregone value / BTC1.3 |
|---|
| 1 | 21.27418% | 0.0000000000000000 |
| 2 | 10.20655% | 0.0000292051188482 |
| 3 | 7.63315% | 0.0000809583528938 |
| 4 | 7.67982% | 0.0001480888721599 |
| 5 | 9.71194% | 0.0002248832188472 |
| 6 | 12.74536% | 0.0003021539164918 |
| 7 | 15.3365% | 0.0003730078966250 |
| 8 | 9.06613% | 0.0004210443832084 |
| 9 | 7.55099% | 0.0004708115249311 |
| 10 | 9.08766% | 0.0005215741541152 |