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Memory-based prisoner’s dilemma on square lattices
Authors:Yongkui Liu  Zhi Li  Long Wang
Institution:a Center for Complex Systems, School of Mechano-Electronic Engineering, Xidian University, Xi’an 710071, China
b State Key Laboratory for Turbulence and Complex Systems, Center for Systems and Control, College of Engineering, Peking University, Beijing 100871, China
c Department of Zoology, University of British Columbia, Vancouver BC V6T 1Z4, Canada
Abstract:We investigate the evolutionary prisoner’s dilemma with memory-based agents on a square lattice. By introducing memory effects into this game, we assume that individuals’ performance is evaluated in terms of the accumulative payoffs in their memories. It is shown that if individuals behave as their successful neighbors, then cooperation can be significantly promoted. The mechanism responsible for the promotion of cooperation is discussed in detail. We confirm that the promotion of cooperation induced by memory effects remains effective when a preferential selection rule or an asynchronous updating rule is employed. Our work may shed some new light on the study of evolutionary games in real-world situations where the effects of individuals’ memories play a key role in the evolution of cooperation.
Keywords:Prisoner&rsquo  dilemma  Cooperation  Memory effect
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