A 2-stage strategy updating rule promotes cooperation in the prisoner's dilemma game

doi:10.1088/1674-1056/21/10/108702

Abstract In this study, we propose a spatial prisoner's dilemma game model with a 2-stage strategy updating rule, and focus on the cooperation behavior of the system. In the first stage, i.e., the pre-learning stage, a focal player decides whether to update his strategy according to the pre-learning factor β and the payoff difference between himself and the average of his neighbors. If the player makes up his mind to update, he enters into the second stage, i.e., the learning stage, and adopts a strategy of a randomly selected neighbor according to the standard Fermi updating rule. The simulation results show that the cooperation level has a non-trivial dependence on the pre-learning factor. Generally, the cooperation frequency decreases as the pre-learning factor increases; but a high cooperation level can be obtained in the intermediate region of -3<β<-1. We then give some explanations via studying the co-action of pre-learning and learning. Our results may sharpen the understanding of the influence of the strategy updating rule on evolutionary games.

Keywords: evolutionary game theory strategy updating social cooperation prisoner's dilemma game

Received: 02 December 2011
Revised: 11 June 2012
Accepted manuscript online:

PACS:	87.23.Ge	(Dynamics of social systems)
	89.75.Hc	(Networks and genealogical trees)
	05.10.-a	(Computational methods in statistical physics and nonlinear dynamics)

Fund: Project supported by the Natural Science Foundation of Zhejiang Province of China (Grant Nos. Y1110766, Y1101316, Y6110317, and LY12A05003) and the Key Science and Technology Plan Program of Zhejiang Province, China (Grant No. 2010C13021).

Corresponding Authors: Zhu Ping
E-mail: jackyzhu@mail.zjgsu.edu.cn

Cite this article:

Fang Xiang-Sheng (方祥圣), Zhu Ping (朱平), Liu Run-Ran (刘润然), Liu En-Yu (刘恩钰), Wei Gui-Yi (魏贵义) A 2-stage strategy updating rule promotes cooperation in the prisoner's dilemma game 2012 Chin. Phys. B 21 108702

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