Epstein Secrets

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tion of N players. Each of them plays one of the n > 2 strategies. The state of the system is described by the n-dimensional column vector X, where Xi is the number of players using strategy i. The frequencies of strategies are x = X/N. The payoff matrix is given by then x n matrix A = Lau], where

e we study a selection-mutation process and hence our system has no absorbing subset of states. Since the matrix P is stochastic and primitive, the Perron-Frobenius theorem ensures that 1 is its largest eigenvalue, that it is a simple eigenvalue and that to it, there corresponds an eigenvector with po