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=0.0000198197955284 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 | 31.22205668 | 15.61102834 | 7.80551417 | 3.12220567 | 1.56110283 | 0.01951379 |
| 2 | 76.49240115 | 38.24620058 | 19.12310029 | 7.64924012 | 3.82462006 | 0.04780775 |
| 3 | 127.09449828 | 63.54724914 | 31.77362457 | 12.70944983 | 6.35472491 | 0.07943406 |
| 4 | 180.82301945 | 90.41150972 | 45.20575486 | 18.08230194 | 9.04115097 | 0.11301439 |
| 5 | 236.77322800 | 118.38661400 | 59.19330700 | 23.67732280 | 11.83866140 | 0.14798327 |
| 6 | 294.43676117 | 147.21838059 | 73.60919029 | 29.44367612 | 14.72183806 | 0.18402298 |
| 7 | 353.48945038 | 176.74472519 | 88.37236260 | 35.34894504 | 17.67447252 | 0.22093091 |
| 8 | 413.70728032 | 206.85364016 | 103.42682008 | 41.37072803 | 20.68536402 | 0.25856705 |
| 9 | 474.92656175 | 237.46328087 | 118.73164044 | 47.49265617 | 23.74632809 | 0.29682910 |
| 10 | 537.02267070 | 268.51133535 | 134.25566768 | 53.70226707 | 26.85113354 | 0.33563917 |
| 11 | 599.89768652 | 299.94884326 | 149.97442163 | 59.98976865 | 29.99488433 | 0.37493605 |
| 12 | 663.47272447 | 331.73636223 | 165.86818112 | 66.34727245 | 33.17363622 | 0.41467045 |
| 13 | 727.68293337 | 363.84146669 | 181.92073334 | 72.76829334 | 36.38414667 | 0.45480183 |
| 14 | 791.35433127 | 395.67716564 | 197.83858282 | 79.13543313 | 39.56771656 | 0.49459646 |
| 15 | 856.65117866 | 428.32558933 | 214.16279467 | 85.66511787 | 42.83255893 | 0.53540699 |
| 16 | 920.39522652 | 460.19761326 | 230.09880663 | 92.03952265 | 46.01976133 | 0.57524702 |
| 17 | 985.97875735 | 492.98937867 | 246.49468934 | 98.59787573 | 49.29893787 | 0.61623672 |
| 18 | 1051.95913009 | 525.97956504 | 262.98978252 | 105.19591301 | 52.59795650 | 0.65747446 |
| 19 | 1118.31229938 | 559.15614969 | 279.57807485 | 111.83122994 | 55.91561497 | 0.69894519 |
| 20 | 1185.01687790 | 592.50843895 | 296.25421947 | 118.50168779 | 59.25084389 | 0.74063555 |
| 21 | 1252.05372368 | 626.02686184 | 313.01343092 | 125.20537237 | 62.60268618 | 0.78253358 |
| 22 | 1319.40560823 | 659.70280411 | 329.85140206 | 131.94056082 | 65.97028041 | 0.82462851 |
| 23 | 1387.05694648 | 693.52847324 | 346.76423662 | 138.70569465 | 69.35284732 | 0.86691059 |
| 24 | 1454.99357507 | 727.49678754 | 363.74839377 | 145.49935751 | 72.74967875 | 0.90937098 |
| 25 | 1523.20256854 | 761.60128427 | 380.80064213 | 152.32025685 | 76.16012843 | 0.95200161 |
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 | 26.67937% | 0.0000000000000000 |
| 2 | 11.91851% | 0.0000085299313785 |
| 3 | 8.24902% | 0.0000225612509816 |
| 4 | 7.80454% | 0.0000404667846303 |
| 5 | 11.81158% | 0.0000625820026341 |
| 6 | 10.20792% | 0.0000801708819878 |
| 7 | 11.69086% | 0.0000986162348380 |
| 8 | 19.52578% | 0.0001179450039702 |
| 9 | 31.41362% | 0.0001345897825555 |
| 10 | 49.63446% | 0.0001481876506402 |