Volume no :13, Issue no: 1, January (2012)

Journal of Mathematical Sciences: Advances and Applications

ON THE LONG-RUN EQUILIBRIA OF A CLASS OF LARGE SUPERGAMES ON

Author's: ANJIAO WANG, ZHONGXING YE and YUCAN LIU
Pages: [21] - [46]
Received Date: Received October 4, 2011
Submitted by:

Abstract

In this paper, a broad class of large supergames, i.e., infinitely repeated games played by many players located on lattice are studied. Under the conditions of the pre-specified updating rules and the transition probabilities, i.e., these relevant stochastic process of strategy configuration given, the formula of invariant measures, which represents the long-run equilibrium plays with symmetric payoffs are obtained.

Keywords

supergame, lattice, equilibrium, Markov chain, random field, Ising model.