This text file contains a small selection of information concerning the distribution of the number of Nash equilibria derivable from the Maple file 'CommonPayoffDataL44N3000000.m'.


The script that generated this file ran an experiment on N:=3000000 games determined by L:=[4, 4], and took 7537.185 seconds to complete.


Below, you will find a raw count of the number of times a given number of pure Nash equilibira appeared during the experiment:

Total number of Nash equilibria: 1
Number of games: 342854

Total number of Nash equilibria: 2
Number of games: 1543524

Total number of Nash equilibria: 3
Number of games: 1028388

Total number of Nash equilibria: 4
Number of games: 85234


Normalizing these counts with respect to the total number of games gives us an approximation of the probability distribution in question.

Total number of Nash equilibria: 1
Approximate probability: .1142846667

Total number of Nash equilibria: 2
Approximate probability: .5145080000

Total number of Nash equilibria: 3
Approximate probability: .3427960000

Total number of Nash equilibria: 4
Approximate probability: .2841133333e-1