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=0.0000371261872270 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 | 42.73188964 | 21.36594482 | 10.68297241 | 4.27318896 | 2.13659448 | 0.02670743 |
| 2 | 104.69088818 | 52.34544409 | 26.17272205 | 10.46908882 | 5.23454441 | 0.06543181 |
| 3 | 173.94715956 | 86.97357978 | 43.48678989 | 17.39471596 | 8.69735798 | 0.10871697 |
| 4 | 247.48239335 | 123.74119668 | 61.87059834 | 24.74823934 | 12.37411967 | 0.15467650 |
| 5 | 324.05832690 | 162.02916345 | 81.01458173 | 32.40583269 | 16.20291635 | 0.20253645 |
| 6 | 402.97919240 | 201.48959620 | 100.74479810 | 40.29791924 | 20.14895962 | 0.25186200 |
| 7 | 483.80131839 | 241.90065920 | 120.95032960 | 48.38013184 | 24.19006592 | 0.30237582 |
| 8 | 566.21810759 | 283.10905380 | 141.55452690 | 56.62181076 | 28.31090538 | 0.35388632 |
| 9 | 650.00552764 | 325.00276382 | 162.50138191 | 65.00055276 | 32.50027638 | 0.40625345 |
| 10 | 734.99301269 | 367.49650635 | 183.74825317 | 73.49930127 | 36.74965063 | 0.45937063 |
| 11 | 821.04654418 | 410.52327209 | 205.26163604 | 82.10465442 | 41.05232721 | 0.51315409 |
| 12 | 908.05815694 | 454.02907847 | 227.01453924 | 90.80581569 | 45.40290785 | 0.56753635 |
| 13 | 995.93909282 | 497.96954641 | 248.98477320 | 99.59390928 | 49.79695464 | 0.62246193 |
| 14 | 1083.08258810 | 541.54129405 | 270.77064702 | 108.30825881 | 54.15412940 | 0.67692662 |
| 15 | 1172.45074553 | 586.22537277 | 293.11268638 | 117.24507455 | 58.62253728 | 0.73278172 |
| 16 | 1259.69367276 | 629.84683638 | 314.92341819 | 125.96936728 | 62.98468364 | 0.78730855 |
| 17 | 1349.45419784 | 674.72709892 | 337.36354946 | 134.94541978 | 67.47270989 | 0.84340887 |
| 18 | 1439.75785834 | 719.87892917 | 359.93946459 | 143.97578583 | 71.98789292 | 0.89984866 |
| 19 | 1530.57174472 | 765.28587236 | 382.64293618 | 153.05717447 | 76.52858724 | 0.95660734 |
| 20 | 1621.86658533 | 810.93329266 | 405.46664633 | 162.18665853 | 81.09332927 | 1.01366662 |
| 21 | 1713.61618164 | 856.80809082 | 428.40404541 | 171.36161816 | 85.68080908 | 1.07101011 |
| 22 | 1805.79695395 | 902.89847697 | 451.44923849 | 180.57969539 | 90.28984770 | 1.12862310 |
| 23 | 1898.38757185 | 949.19378593 | 474.59689296 | 189.83875719 | 94.91937859 | 1.18649223 |
| 24 | 1991.36865077 | 995.68432538 | 497.84216269 | 199.13686508 | 99.56843254 | 1.24460541 |
| 25 | 2084.72250031 | 1042.36125015 | 521.18062508 | 208.47225003 | 104.23612502 | 1.30295156 |
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 | 20.05123% | 0.0000000000000000 |
| 2 | 8.01497% | 0.0000134406893156 |
| 3 | 5.09883% | 0.0000373166602007 |
| 4 | 3.2174% | 0.0000651041784636 |
| 5 | 2.61687% | 0.0000976543113882 |
| 6 | 1.89991% | 0.0001294377576847 |
| 7 | 1.37271% | 0.0001609379851037 |
| 8 | 1.00672% | 0.0001919632138406 |
| 9 | 0.94669% | 0.0002251460555185 |
| 10 | 1.13632% | 0.0002601512918635 |