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=0.0000286000729010 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 | 37.50554606 | 18.75277303 | 9.37638652 | 3.75055461 | 1.87527730 | 0.02344097 |
| 2 | 91.88662055 | 45.94331028 | 22.97165514 | 9.18866206 | 4.59433103 | 0.05742914 |
| 3 | 152.67247154 | 76.33623577 | 38.16811788 | 15.26724715 | 7.63362358 | 0.09542029 |
| 4 | 217.21394446 | 108.60697223 | 54.30348611 | 21.72139445 | 10.86069722 | 0.13575872 |
| 5 | 284.42422294 | 142.21211147 | 71.10605574 | 28.44242229 | 14.22121115 | 0.17776514 |
| 6 | 353.69263539 | 176.84631769 | 88.42315885 | 35.36926354 | 17.68463177 | 0.22105790 |
| 7 | 424.62977378 | 212.31488689 | 106.15744344 | 42.46297738 | 21.23148869 | 0.26539361 |
| 8 | 496.96653935 | 248.48326968 | 124.24163484 | 49.69665394 | 24.84832697 | 0.31060409 |
| 9 | 570.50630014 | 285.25315007 | 142.62657503 | 57.05063001 | 28.52531501 | 0.35656644 |
| 10 | 645.09935142 | 322.54967571 | 161.27483785 | 64.50993514 | 32.25496757 | 0.40318709 |
| 11 | 720.62806582 | 360.31403291 | 180.15701646 | 72.06280658 | 36.03140329 | 0.45039254 |
| 12 | 796.99768294 | 398.49884147 | 199.24942073 | 79.69976829 | 39.84988415 | 0.49812355 |
| 13 | 874.13030019 | 437.06515010 | 218.53257505 | 87.41303002 | 43.70651501 | 0.54633144 |
| 14 | 950.61566987 | 475.30783493 | 237.65391747 | 95.06156699 | 47.53078349 | 0.59413479 |
| 15 | 1029.05361336 | 514.52680668 | 257.26340334 | 102.90536134 | 51.45268067 | 0.64315851 |
| 16 | 1105.62625391 | 552.81312696 | 276.40656348 | 110.56262539 | 55.28131270 | 0.69101641 |
| 17 | 1184.40857635 | 592.20428817 | 296.10214409 | 118.44085763 | 59.22042882 | 0.74025536 |
| 18 | 1263.66760578 | 631.83380289 | 315.91690144 | 126.36676058 | 63.18338029 | 0.78979225 |
| 19 | 1343.37445767 | 671.68722883 | 335.84361442 | 134.33744577 | 67.16872288 | 0.83960904 |
| 20 | 1423.50344045 | 711.75172023 | 355.87586011 | 142.35034405 | 71.17517202 | 0.88968965 |
| 21 | 1504.03155984 | 752.01577992 | 376.00788996 | 150.40315598 | 75.20157799 | 0.94001972 |
| 22 | 1584.93812004 | 792.46906002 | 396.23453001 | 158.49381200 | 79.24690600 | 0.99058633 |
| 23 | 1666.20439948 | 833.10219974 | 416.55109987 | 166.62043995 | 83.31021997 | 1.04137775 |
| 24 | 1747.81338442 | 873.90669221 | 436.95334610 | 174.78133844 | 87.39066922 | 1.09238337 |
| 25 | 1829.74954810 | 914.87477405 | 457.43738702 | 182.97495481 | 91.48747740 | 1.14359347 |
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 | 18.8584% | 0.0000000000000000 |
| 2 | 8.57458% | 0.0000106807880125 |
| 3 | 4.5352% | 0.0000278666234366 |
| 4 | 3.89719% | 0.0000519078036871 |
| 5 | 4.18033% | 0.0000800627264011 |
| 6 | 5.34346% | 0.0001107823379645 |
| 7 | 10.05328% | 0.0001454362773687 |
| 8 | 9.72224% | 0.0001713128033636 |
| 9 | 11.32034% | 0.0001969962089424 |
| 10 | 19.84423% | 0.0002237715266879 |