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A. J. Wang, Z. X. Ye and Y. C. Liu, “On the Long-run Equilibria of a Class of Large Super Game on Z^d,” Journal of Mathematical Sciences: Advances and Applications, Vol. 12, No. 1, 2012, pp. 21-46.

has been cited by the following article:

• TITLE: Prisoners' Dilemma Supergame on Rectangle Lattice

  AUTHORS: Zhongxing Ye, Jingshu Chen

  KEYWORDS: Prisoners' Dilemma; Supergame; Planar Rectangle Lattice; Markov Process; Invariant Measure; Equilibrium

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.3 No.1B1, July 11, 2013

  ABSTRACT: 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.