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Matrix games with nonuniform payoff distributions

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  • Ein-Dor, Liat
  • Kanter, Ido

Abstract

The theoretical analysis of the statistical properties of 2-person zero-sum games with random payoff matrices is generalized to payoff matrices with elements whose average and variance depend on the column they belong to. The value of the game and the distribution of the strategies are solved analytically using methods from statistical mechanics of neural networks. The analytical results are confirmed by simulations.

Suggested Citation

  • Ein-Dor, Liat & Kanter, Ido, 2001. "Matrix games with nonuniform payoff distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 302(1), pages 80-88.
  • Handle: RePEc:eee:phsmap:v:302:y:2001:i:1:p:80-88
    DOI: 10.1016/S0378-4371(01)00565-9
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    Cited by:

    1. Chunsheng Cui & Zhongwei Feng & Chunqiao Tan, 2018. "Credibilistic Loss Aversion Nash Equilibrium for Bimatrix Games with Triangular Fuzzy Payoffs," Complexity, Hindawi, vol. 2018, pages 1-16, December.

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