Statistical mechanics of random two-player games
Disordered Systems and Neural Networks
2009-10-31 v1
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9910357,
title = {Statistical mechanics of random two-player games},
author = {Johannes Berg},
journal= {arXiv preprint arXiv:cond-mat/9910357},
year = {2009}
}
Comments
16 pages, 6 figures, for further information see http://itp.nat.uni-magdeburg.de/~jberg/games.html