Statistical mechanics of random two-player games

Details Statistical mechanics of random two-player games Statistical mechanics of random two-player games

1999-10-22

arxiv.org/abs/cond-mat/9910357v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

16 pages, 6 figures, for further information see http://itp.nat.uni-magdeburg.de/~jberg/games.html

Scientific paper

10.1103/PhysRevE.61.2327

Using methods from the statistical mechanics of disordered systems we analyze the properties of bimatrix games with random payoffs in the limit where the number of pure strategies of each player tends to infinity. We analytically calculate quantities such as the number of equilibrium points, the expected payoff, and the fraction of strategies played with non-zero probability as a function of the correlation between the payoff matrices of both players and compare the results with numerical simulations.

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