Statistical mechanics of random two-player games
Statistical mechanics of random two-player games
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DOI：
10.1103/physreve.61.2327
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发表时间：
1999-10
影响因子：
2.4
通讯作者：
J. Berg
中科院分区：
文献类型：
--
作者：
J. Berg
利用无序系统统计力学的方法，分析了在局中人的纯策略数趋于无穷大的极限条件下，具有随机支付的双矩阵对策的性质.我们分析计算的数量，如平衡点的数量，预期的回报，和发挥非零概率的策略的分数作为双方球员的回报矩阵之间的相关性的函数，并与数值模拟的结果进行比较。
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.