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=0.0000211956682834 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 | 32.28757886 | 16.14378943 | 8.07189472 | 3.22875789 | 1.61437894 | 0.02017974 |
| 2 | 79.10287461 | 39.55143731 | 19.77571865 | 7.91028746 | 3.95514373 | 0.04943930 |
| 3 | 131.43188094 | 65.71594047 | 32.85797024 | 13.14318809 | 6.57159405 | 0.08214493 |
| 4 | 186.99400750 | 93.49700375 | 46.74850187 | 18.69940075 | 9.34970037 | 0.11687125 |
| 5 | 244.85364147 | 122.42682073 | 61.21341037 | 24.48536415 | 12.24268207 | 0.15303353 |
| 6 | 304.48507106 | 152.24253553 | 76.12126777 | 30.44850711 | 15.22425355 | 0.19030317 |
| 7 | 365.55306474 | 182.77653237 | 91.38826619 | 36.55530647 | 18.27765324 | 0.22847067 |
| 8 | 427.82596218 | 213.91298109 | 106.95649054 | 42.78259622 | 21.39129811 | 0.26739123 |
| 9 | 491.13448785 | 245.56724392 | 122.78362196 | 49.11344878 | 24.55672439 | 0.30695905 |
| 10 | 555.34976475 | 277.67488238 | 138.83744119 | 55.53497648 | 27.76748824 | 0.34709360 |
| 11 | 620.37053044 | 310.18526522 | 155.09263261 | 62.03705304 | 31.01852652 | 0.38773158 |
| 12 | 686.11520808 | 343.05760404 | 171.52880202 | 68.61152081 | 34.30576040 | 0.42882201 |
| 13 | 752.51673329 | 376.25836664 | 188.12918332 | 75.25167333 | 37.62583666 | 0.47032296 |
| 14 | 818.36105938 | 409.18052969 | 204.59026484 | 81.83610594 | 40.91805297 | 0.51147566 |
| 15 | 885.88630704 | 442.94315352 | 221.47157676 | 88.58863070 | 44.29431535 | 0.55367894 |
| 16 | 951.80576242 | 475.90288121 | 237.95144061 | 95.18057624 | 47.59028812 | 0.59487860 |
| 17 | 1019.62747722 | 509.81373861 | 254.90686931 | 101.96274772 | 50.98137386 | 0.63726717 |
| 18 | 1087.85957706 | 543.92978853 | 271.96489426 | 108.78595771 | 54.39297885 | 0.67991224 |
| 19 | 1156.47719595 | 578.23859798 | 289.11929899 | 115.64771960 | 57.82385980 | 0.72279825 |
| 20 | 1225.45821669 | 612.72910835 | 306.36455417 | 122.54582167 | 61.27291083 | 0.76591139 |
| 21 | 1294.78284407 | 647.39142203 | 323.69571102 | 129.47828441 | 64.73914220 | 0.80923928 |
| 22 | 1364.43326160 | 682.21663080 | 341.10831540 | 136.44332616 | 68.22166308 | 0.85277079 |
| 23 | 1434.39335235 | 717.19667618 | 358.59833809 | 143.43933524 | 71.71966762 | 0.89649585 |
| 24 | 1504.64846963 | 752.32423481 | 376.16211741 | 150.46484696 | 75.23242348 | 0.94040529 |
| 25 | 1575.18524683 | 787.59262341 | 393.79631171 | 157.51852468 | 78.75926234 | 0.98449078 |
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 | 24.94753% | 0.0000000000000000 |
| 2 | 10.22809% | 0.0000085299313785 |
| 3 | 6.36035% | 0.0000225612509816 |
| 4 | 5.259% | 0.0000404667846303 |
| 5 | 6.63873% | 0.0000625820026341 |
| 6 | 4.59351% | 0.0000801708819878 |
| 7 | 3.90185% | 0.0000986162348380 |
| 8 | 4.23996% | 0.0001179450039702 |
| 9 | 4.26604% | 0.0001355522697678 |
| 10 | 5.35489% | 0.0001532683871811 |