Stochastic Evolutionary Game Dynamics of Resource Allocation in Finite Grid Population

Abstract

Aiming at addressing the problem of optimal allocation of grid resource, a stochastic dynamics model is proposed to research evolutionary game of resource allocation in finite grid population in this paper. The focal point of this model is using a Moran process with frequency dependent selection to find the condition for selection favoring the invasion index and fixation index of gird user’s strategy during the repeated game. Then, according to the characteristics of economic grid, we establish a fixed utility matrix of grid users to quantify the strategy selection dynamics. The numerical experiments show that the strategy of individuals will develop towards different directions under different grid population size for maximizing its own utility.