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Statistical mechanics of random two-player games
Berg J
PHYSICAL REVIEW E 61 (3): 2327-2339 MAR 2000

Document type: Article

Language: English

Cited References: 17

Times Cited: 0

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 nonzero probability as a function of the correlation between the payoff matrices of both players, and compare the results with numerical simulations.

Addresses:
Berg J, Otto Von Guericke Univ, Inst Theoret Phys, Postfach 4120, D-39016 Magdeburg, Germany
Otto Von Guericke Univ, Inst Theoret Phys, D-39016 Magdeburg, Germany

Publisher:
AMERICAN PHYSICAL SOC, COLLEGE PK

IDS Number:
295XM

ISSN:
1063-651X

Article 9 of 40

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