Mean-field Approximation of Stochastic Population Processes in Games

@inproceedings{Benam2009MeanfieldAO,
title={Mean-field Approximation of Stochastic Population Processes in Games},
author={Michel Bena{\"i}m and J{\"o}rgen W. Weibull and ECOLE POLYTECHNIQUE and DEPARTEMENT D'ECONOMIE and Michel Ben{\"a}ım},
year={2009}
}

We here establish an upper bound on the probability for deviations of a Markov population process from its mean-field approximation. The population consists of n distinct subpopulations of equal size N , where each subpopulation is associated with a player role in a finite n-player game. At discrete times t = 0, 1/N, 2/N, ... one individual is drawn at random from the total population to review his or her pure strategy choice. We allow transition probabilities to depend smoothly on population… CONTINUE READING