【摘要】 在具有可转让效用的n人合作博弈理论中建立了一个动态联盟博弈模型.首先用Markov随机过程来描述联盟结构是如何随着时间的变化而变化的,定义了状态概率等概念.然后将局中人在不同时期的策略选择归结为在时间序列集S={0,1,…,τ}上的有序选择.给出局中人在时间序列集S中每一点的SK值(支付).提出了动态联盟博弈的SK公理,证明了每个博弈具有SK公理意义下的惟一解.该模型是对动态联盟博弈研究方法的一次新的探索,拓展了联盟博弈理论.更多还原

【Abstract】 In order to set a dynamic model of endogenous coalition formation in cooperative games with transferable utility,the process of the dynamic coalition formation(DCF) can be regarded as a Markov chain.The status probability is defined under the process of DCF,the strategic selections(determined by a best-reply rule) of each player at different time periods up to the selections at time serial set S={0,1,…,τ} are summed.The SK value of player i at each dot in time serial T is given.The SK axiom of dynamic cooperative games is set.The SK value is proved to be the only solution in dynamic cooperative games with SK axiom.This model is a new exploration of methodology,and in the meantime,it enriches the dynamic coalition games.更多还原