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=5.8728704203433999 BTC²
Also 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 | 16995.62469444 | 8497.81234722 | 4248.90617361 | 1699.56246944 | 849.78123472 | 10.62226543 |
2 | 41638.38901821 | 20819.19450911 | 10409.59725455 | 4163.83890182 | 2081.91945091 | 26.02399314 |
3 | 69183.47550486 | 34591.73775243 | 17295.86887622 | 6918.34755049 | 3459.17377524 | 43.23967219 |
4 | 98430.42072028 | 49215.21036014 | 24607.60518007 | 9843.04207203 | 4921.52103601 | 61.51901295 |
5 | 128886.73421547 | 64443.36710774 | 32221.68355387 | 12888.67342155 | 6444.33671077 | 80.55420888 |
6 | 160275.69037363 | 80137.84518682 | 40068.92259341 | 16027.56903736 | 8013.78451868 | 100.17230648 |
7 | 192420.82909210 | 96210.41454605 | 48105.20727302 | 19242.08290921 | 9621.04145460 | 120.26301818 |
8 | 225200.20836688 | 112600.10418344 | 56300.05209172 | 22520.02083669 | 11260.01041834 | 140.75013023 |
9 | 258524.72448629 | 129262.36224314 | 64631.18112157 | 25852.47244863 | 12926.23622431 | 161.57795280 |
10 | 292326.53881588 | 146163.26940794 | 73081.63470397 | 29232.65388159 | 14616.32694079 | 182.70408676 |
11 | 326552.34855377 | 163276.17427688 | 81638.08713844 | 32655.23485538 | 16327.61742769 | 204.09521785 |
12 | 361159.21305175 | 180579.60652587 | 90289.80326294 | 36115.92130517 | 18057.96065259 | 225.72450816 |
13 | 396111.83078836 | 198055.91539418 | 99027.95769709 | 39611.18307884 | 19805.59153942 | 247.56989424 |
14 | 430771.14851607 | 215385.57425804 | 107692.78712902 | 43077.11485161 | 21538.55742580 | 269.23196782 |
15 | 466315.27436844 | 233157.63718422 | 116578.81859211 | 46631.52743684 | 23315.76371842 | 291.44704648 |
16 | 501014.13886225 | 250507.06943112 | 125253.53471556 | 50101.41388622 | 25050.70694311 | 313.13383679 |
17 | 536714.31990654 | 268357.15995327 | 134178.57997663 | 53671.43199065 | 26835.71599533 | 335.44644994 |
18 | 572630.52055439 | 286315.26027719 | 143157.63013860 | 57263.05205544 | 28631.52602772 | 357.89407535 |
19 | 608749.65178775 | 304374.82589387 | 152187.41294694 | 60874.96517877 | 30437.48258939 | 380.46853237 |
20 | 645060.07148531 | 322530.03574265 | 161265.01787133 | 64506.00714853 | 32253.00357427 | 403.16254468 |
21 | 681551.35978925 | 340775.67989463 | 170387.83994731 | 68155.13597893 | 34077.56798946 | 425.96959987 |
22 | 718214.13841261 | 359107.06920631 | 179553.53460315 | 71821.41384126 | 35910.70692063 | 448.88383651 |
23 | 755039.92368187 | 377519.96184093 | 188759.98092047 | 75503.99236819 | 37751.99618409 | 471.89995230 |
24 | 792021.00582079 | 396010.50291040 | 198005.25145520 | 79202.10058208 | 39601.05029104 | 495.01312864 |
25 | 829150.34888951 | 414575.17444476 | 207287.58722238 | 82915.03488895 | 41457.51744448 | 518.21896806 |
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 / BTC² |
---|
1 | 53.51744% | 0.0000000000000000 |
2 | 22.03344% | 3.0377233120530303 |
3 | 11.76092% | 6.7236749084096710 |
4 | 9.68951% | 11.1117973884219872 |
5 | 10.57545% | 15.8262732587970376 |
6 | 17.84987% | 20.9958910569675439 |
7 | 30.56684% | 25.6889457466052846 |
8 | 81.64563% | 30.3411123644063032 |
9 | 28.55192% | 31.3129783671397810 |
10 | 20.47553% | 32.2378860611565798 |