Journal
CHINESE SCIENCE BULLETIN
Volume 58, Issue 18, Pages 2248-2254Publisher
SCIENCE PRESS
DOI: 10.1007/s11434-013-5810-6
Keywords
asymmetric interaction; cooperation; spatial games; Hawk-Dove game
Categories
Funding
- National Basic Research Program of China [2007CB411600]
- National Natural Science Foundation of China [30670272, 30770500, 10961027, 31270433, 10761010]
- Yunnan Natural Science Foundation [2009CD104]
- State Key Laboratory of Genetic Resources and Evolution, Kunming Institute of Zoology, Chinese Academy of Sciences [GREKF09-02]
- West Light Foundation of the Chinese Academy of Sciences
- Special Fund for the Excellent Youth of the Chinese Academy of Sciences [KSCX2-EW-Q-9]
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Classical theories explaining the evolution of cooperation often rely on the assumption that the involved players are symmetrically interacted. However, in reality almost all well-documented 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 Hawk-Dove 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 factors.
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