CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Evolutionary Self-Questioning Games with Local Contribution |
LIU Yong-Kui1, LI Zhi1, CHEN Xiao-Jie2,3, WANG Long 1,2 |
1Center for Complex Systems, Department of Automatic Control Engineering, Xidian University, Xi'an 7100712State Key Laboratory for Turbulence and Complex Systems, Center for Systems and Control, College of Engineering, Peking University, Beijing 1008713Department of Zoology, University of British Columbia, Vancouver BC V6T 1Z4, Canada |
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Cite this article: |
LIU Yong-Kui, LI Zhi, CHEN Xiao-Jie et al 2009 Chin. Phys. Lett. 26 088902 |
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Abstract We investigate the evolutionary Prisoner's Dilemma and the Snowdrift Game on small-world networks in a realistic social context where individuals consider their local contributions to their group and update their strategies by self-questioning. An individual with introspection can determine whether its current strategy is superior by playing a virtual round of the game and its local contribution is defined as the sum of all the payoffs its neighbors collect against it. In our model, the performance of an individual is determined by both its payoff and local contribution through a linear combination. We demonstrate that the present mechanism can produce very robust cooperative behavior in both games. Furthermore, we provide theoretical analysis based on mean-field approximation, and find that the analytical predictions are qualitatively consistent with the simulation results.
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Keywords:
89.75.Hc
87.23.Kg
02.50.Le
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Received: 08 December 2008
Published: 30 July 2009
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PACS: |
89.75.Hc
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(Networks and genealogical trees)
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87.23.Kg
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(Dynamics of evolution)
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02.50.Le
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(Decision theory and game theory)
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