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. 1998 Aug 18;95(17):9724–9731. doi: 10.1073/pnas.95.17.9724

Table 1.

Conditional probability that a PNE is not PPO in an n-player game where each player has m actions

Actions per player m Numbers of players n
2 3 4 5 6
2 S 0.1098 S 0.1257 S 0.1080 S 0.0814 S 0.0544
I 0.1111 I 0.1211
F 0.1111 F 0.1241 F 0.1051 F 0.0803 F 0.0582
3 S 0.1911 S 0.2057 S 0.1688 S 0.1102*
I 0.1992 I 0.1976
F 0.1992 F 0.2021 F 0.1662
4 S 0.2376 S 0.2531 S 0.1951
I 0.2492 I 0.2341
F 0.2492 F 0.2401
5 S 0.2760 S 0.2654 S 0.2168
I 0.2802 I 0.2541
F 0.2802
6 S 0.3063 S 0.2837 S 0.2352
I 0.3010
F 0.3010

S, based on 2,500 simulations; I, based on numerical integration of Eq. 2, F, based on summation of the finite series 6

*

Only 500 simulations.