Prisoners' Dilemma Supergame on Rectangle Lattice ()
Zhongxing Ye,
Jingshu Chen
1School of Business Information Management, Shanghai Institute of Foreign Trade, Shanghai, China
2Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China.
Department of Management Science and Engineering, Stanford University, Stanford, USA.
DOI: 10.4236/ojapps.2013.31B1002
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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.
Share and Cite:
Z. Ye and J. Chen, "Prisoners' Dilemma Supergame on Rectangle Lattice,"
Open Journal of Applied Sciences, Vol. 3 No. 1B, 2013, pp. 7-11. doi:
10.4236/ojapps.2013.31B1002.
Conflicts of Interest
The authors declare no conflicts of interest.
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