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Entropy and typical properties of Nash equilibria in two-player games
Berg J, Weigt M
EUROPHYSICS LETTERS 48 (2): 129-135 OCT 1999

Document type: Article

Language: English

Cited References: 15

Times Cited: 1

Abstract:
We use techniques from the statistical mechanics of disordered systems to analyse the properties of Nash equilibria of bimatrix games with large random payoff matrices. By means of an annealed bound, we calculate their number and analyse the properties of typical Nash equilibria, which are exponentially dominant in number. We find that a randomly chosen equilibrium realizes almost always equal payoffs to either player. This value and the fraction of strategies played at an equilibrium point are calculated as a function of the correlation between the two payoff matrices. The picture is complemented by the calculation of the properties of Nash equilibria in pure strategies.

KeyWords Plus:
STATISTICAL-MECHANICS

Addresses:
Berg J, Univ Magdeburg, Inst Theoret Phys, PF 4120, D-39106 Magdeburg, Germany
Univ Magdeburg, Inst Theoret Phys, D-39106 Magdeburg, Germany
Ecole Normale Super, Phys Theor Lab, CNRS, Unite Mixte Rech, F-75231 Paris, France

Publisher:
E D P SCIENCES, LES ULIS CEDEXA

IDS Number:
247NK

ISSN:
0295-5075

Article 12 of 40

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