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Title of Journal: Chin Sci Bull

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Abbravation: Chinese Science Bulletin

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Springer Berlin Heidelberg

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DOI

10.1002/pol.1956.1202210222

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1861-9541

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Spatial games and the maintenance of cooperation i

Authors: JunZhou He Yue Zhao HengJin Cai RuiWu Wang
Publish Date: 2013/05/06
Volume: 58, Issue: 18, Pages: 2248-2254
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Abstract

Classical theories explaining the evolution of cooperation often rely on the assumption that the involved players are symmetrically interacted However in reality almost all welldocumented cooperation systems show that cooperative players are in fact asymmetrically interacted and that this dynamic may greatly affect the cooperative behavior of the involved players Here we developed several models based on the most well known spatial game of the HawkDove game while also considering the effects of asymmetric interaction Such asymmetric games possess four kinds of strategies cooperation or defection of strong player and cooperation or defection of weak player Computer simulations showed that the probability of defection of the strong player decreases with decreasing the benefit to cost ratio and that all kinds of strategy will be substituted by cooperation on behalf of the strong player if the benefit to cost ratio is sufficiently small Moreover weak players find it difficult to survive and the surviving weak players are mostly defectors similar to the Boxed Pigs game Interestingly the patterns of kinds of strategies are chaotic or oscillate in some conditions with the related factorsThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team

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