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. Author manuscript; available in PMC: 2008 Jul 14.
Published in final edited form as: J Theor Biol. 2007 Mar 24;247(3):574–580. doi: 10.1016/j.jtbi.2007.03.027

Table 1.

Limit distributions of the stochastic system for the four strategies ALLC, ALLD, TFT and WSLS and of the augmented system which contains also GTFT. Here GTFT cooperates with probability q = 1/10, q = 1/3 or q = 1/2, respectively, if the opponent defected in the previous round. The population size is N = 10000, the cost of cooperation is c = 1 and the background fitness is K = 10.

b ALLC ALLD TFT WSLS

1.5 0.0005 0.9741 0.0179 0.0075
2.0 0.0010 0.9201 0.0176 0.0613
2.5 0.0001 0.0343 0.0006 0.9650
3.0 0.0000 0.0000 0.0000 1.0000
b ALLC ALLD TFT WSLS GTFT
q = 1/10

1.5 0.0001 0.3592 0.0036 0.0043 0.6328
2.0 0.0003 0.3028 0.0031 0.0201 0.6736
2.5 0.0001 0.0343 0.0003 0.9445 0.0207
3.0 0.0000 0.0000 0.0000 1.0000 0.0000
b ALLC ALLD TFT WSLS GTFT
q = 1/3

1.5 0.0003 0.9482 0.0092 0.0049 0.0375
2.0 0.0003 0.4570 0.0046 0.0503 0.4879
2.5 0.0000 0.0201 0.0002 0.9290 0.0506
3.0 0.0000 0.0000 0.0000 1.0000 0.0000
b ALLC ALLD TFT WSLS GTFT
q = 1/2

1.5 0.0003 0.9779 0.0095 0.0043 0.0080
2.0 0.0005 0.8912 0.0089 0.0385 0.0609
2.5 0.0000 0.0209 0.0002 0.9569 0.0220
3 0.0000 0.0000 0.0000 1.0000 0.0000