Prisoners' Dilemma Supergame on Rectangle Lattice

Zhongxing Ye, Jingshu Chen
2013 Open Journal of Applied Sciences  
In this paper a class of large supergames, i.e., infinitely repeated games played by many players are studied. The players located on the vertex set of planar rectangle lattice play several basic games with his neighbors. The basic game is two-person prisoners' dilemma game with asymmetric payoffs. Under the conditions of the pre-specified updating rules and the transition probabilities, the relevant stochastic process of strategy evolution forms a Markovian process. The simulation results about the long-run behavior are provided.
doi:10.4236/ojapps.2013.31b1002 fatcat:biivm2dmxzbc3hi3cwscslqcva