N人协作式博弈联盟构型理论的基本框架

A Fundamental Framework of Coalition Formation Theory

本文将给出一套协作式博弈联盟构型理论的基本框架，以填补这方面的理论空白。首先，引进联盟树概念，以表示联盟构型。然后，定义参与者和子联盟的可行运动，以描述联盟构型的变化。随后，定义在恒稳利益分配原则下的均衡联盟树。接着定义线性赋权分配原则，最后，证明在线性赋权分配原则之下， N人协作式博弈中均衡联盟树的存在性定理。

In order to study coalition formation with subcoalitions in n－ person cooperative games with transferable utilities, this paper presents a fundamental framework of coalition formation theory. The concept of coalition tree is introduced. The feasible movement of subcoalitions and players is discussed. Given a fixed payoff distribution rule, the equilibrium coalition tree is defined. Under the linear power distribution rule, the existence of an equilibrium coalition tree is proved.