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=0.0000530670520000 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 | 51.08864733 | 25.54432366 | 12.77216183 | 5.10886473 | 2.55443237 | 0.03193040 |
| 2 | 125.16450616 | 62.58225308 | 31.29112654 | 12.51645062 | 6.25822531 | 0.07822782 |
| 3 | 207.96471118 | 103.98235559 | 51.99117779 | 20.79647112 | 10.39823556 | 0.12997794 |
| 4 | 295.88068345 | 147.94034173 | 73.97017086 | 29.58806835 | 14.79403417 | 0.18492543 |
| 5 | 387.43200251 | 193.71600126 | 96.85800063 | 38.74320025 | 19.37160013 | 0.24214500 |
| 6 | 481.78683441 | 240.89341721 | 120.44670860 | 48.17868344 | 24.08934172 | 0.30111677 |
| 7 | 578.41474217 | 289.20737108 | 144.60368554 | 57.84147422 | 28.92073711 | 0.36150921 |
| 8 | 676.94916955 | 338.47458478 | 169.23729239 | 67.69491696 | 33.84745848 | 0.42309323 |
| 9 | 777.12227186 | 388.56113593 | 194.28056797 | 77.71222719 | 38.85611359 | 0.48570142 |
| 10 | 878.73012696 | 439.36506348 | 219.68253174 | 87.87301270 | 43.93650635 | 0.54920633 |
| 11 | 981.61250725 | 490.80625363 | 245.40312681 | 98.16125073 | 49.08062536 | 0.61350782 |
| 12 | 1085.64033366 | 542.82016683 | 271.41008341 | 108.56403337 | 54.28201668 | 0.67852521 |
| 13 | 1190.70749022 | 595.35374511 | 297.67687256 | 119.07074902 | 59.53537451 | 0.74419218 |
| 14 | 1294.89299042 | 647.44649521 | 323.72324760 | 129.48929904 | 64.74464952 | 0.80930812 |
| 15 | 1401.73821340 | 700.86910670 | 350.43455335 | 140.17382134 | 70.08691067 | 0.87608638 |
| 16 | 1506.04259071 | 753.02129535 | 376.51064768 | 150.60425907 | 75.30212954 | 0.94127662 |
| 17 | 1613.35691375 | 806.67845688 | 403.33922844 | 161.33569138 | 80.66784569 | 1.00834807 |
| 18 | 1721.32058918 | 860.66029459 | 430.33014730 | 172.13205892 | 86.06602946 | 1.07582537 |
| 19 | 1829.89427155 | 914.94713578 | 457.47356789 | 182.98942716 | 91.49471358 | 1.14368392 |
| 20 | 1939.04296479 | 969.52148240 | 484.76074120 | 193.90429648 | 96.95214824 | 1.21190185 |
| 21 | 2048.73534693 | 1024.36767346 | 512.18383673 | 204.87353469 | 102.43676735 | 1.28045959 |
| 22 | 2158.94322694 | 1079.47161347 | 539.73580673 | 215.89432269 | 107.94716135 | 1.34933952 |
| 23 | 2269.64110301 | 1134.82055150 | 567.41027575 | 226.96411030 | 113.48205515 | 1.41852569 |
| 24 | 2380.80579963 | 1190.40289982 | 595.20144991 | 238.08057996 | 119.04028998 | 1.48800362 |
| 25 | 2492.41616686 | 1246.20808343 | 623.10404172 | 249.24161669 | 124.62080834 | 1.55776010 |
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 | 57.28644% | 0.0000000000000000 |
| 2 | 27.53582% | 0.0000297678823692 |
| 3 | 14.06727% | 0.0000620550938082 |
| 4 | 11.38893% | 0.0000998123729471 |
| 5 | 15.28105% | 0.0001429682567309 |
| 6 | 34.3874% | 0.0001899926788998 |
| 7 | 32.20174% | 0.0002183821387707 |
| 8 | 19.53319% | 0.0002372671124514 |
| 9 | 18.87169% | 0.0002559162665500 |
| 10 | 20.74294% | 0.0002716138162381 |