Research Article

A Mixed 0-1 Linear Programming Approach to the Computation of All Pure-Strategy Nash Equilibria of a Finite n-Person Game in Normal Form

Table 3

The payoff function is generated from 0 to 100 randomly.

Prob. Num Num NumEquilibra Time (s)

1 3 3 0 0.41
2 3 3 2 0.45
3 3 4 2 0.51
4 3 5 0 0.49
5 3 5 2 0.61
6 3 7 0 0.56
7 3 7 2 0.41
8 3 8 0 0.61
9 3 8 2 0.89
10 3 8 2 0.68
11 3 10 1 1.11
12 3 12 1 4.00
13 3 13 1 2.64
14 3 13 2 2.64
15 3 16 0 14.25
16 3 19 4 25.70
17 3 22 4 55.94
18 3 24 2 132.87
19 3 24 1 142.96
20 3 25 2 246.76
21 3 26 2 499.40
22 3 28 0 804.76
23 3 28 1 671.67
24 3 30 2 1382.03
25 3 32 1 2821.16
26 3 34 2 3325.67
27 3 37 1 7088.06
28 3 38 2 9395.13
29 3 41 2 20441.10
30 3 43 0 29204.70