动物学研究2012，Vol.33Issue(4)：373-380,8.DOI:10.3724/SP.J.1141.2012.04373
具资源效应的非对称“鹰鸽博弈”进化稳定分析
Evolutionary stability analysis of asymmetric hawk-dove game considering the impact of common resource
摘要
Abstract
Explaining the evolution of cooperation remains one of the important problems in both biology and social science. Classical theories mainly based on an assumption that cooperative players are symmetrically interacted. However, almost all the well-studied systems showed that cooperative players are in fact asymmetrically interacted and that asymmetric interaction might greatly affect cooperation behavior of the involved players. Considering the asymmetric interaction and the selection pressure of resources, we present a model that possesses four strategies: strength-cooperation (SC), strength-defection (SD), weakness-cooperation (WC) and weakness-defection (WD). Combining evolutionary game theory with dynamical stability theory, we find that the evolutionary results closely depend on the asymmetric interaction and selection pressure of resources as well as cost-to-benefit ratio of conflict. When the common resources are plentiful, the cost-to-benefit ratio of conflict is negatively correlated with the probability of SC, while it is positively correlated with the probability of SD and WD. With increasing the strength ratio between the strong and weak players, the proportion of SC and SD will increase, while the proportion of WD will reduce. The model developed here has intrinsically integrated Boxed Pigs game and Hawk-Dove game. When the common resource is at shortage, the Boxed Pigs game will transform into Hawk-Dove game under the increase of the strength ratio between the strong and weak players.关键词
非对称/鹰鸽博弈/复制动态方程/进化稳定策略/智猪博弈Key words
Asymmetric/ Hawk-Dove game/ Replicator equation/ Evolutionarily stable strategy/ Boxed pigs game分类
生物科学引用本文复制引用
刘奇龙,贺军州,杨燕,王亚强,高磊,李耀堂,王瑞武..具资源效应的非对称“鹰鸽博弈”进化稳定分析[J].动物学研究,2012,33(4):373-380,8.基金项目
国家自然科学基金资助项目具有P-F性质矩阵及其相关矩阵的性质、算法和应用研究(10961027) （10961027）
合作系统中菲对称性和互惠(或亲缘)关系的相互作用研究(71161020).和种间合作系统稳定性维持机制的探讨(31170408) （或亲缘）
云南省自然科学基金(2009CD104) （2009CD104）
中国科学院优秀青年科技专项(KSCX2-EW-Q-9) （KSCX2-EW-Q-9）
