摘要
全对策是定义在局中人集合的所有分划集上的一类特殊合作对策.本文在效用可转移情形下研究全对策的"值"问题.定义了全对策的边际贡献值,得出全对策的Shapley值,以及具有某些性质的值是边际贡献值,并给出两种边际贡献值的具体表达式,及其一些性质.
Global game is a kind of cooperative game defined on partitions of the set of players. The payoffs for players are defined for all players together. In this paper we discuss the values for global games under the situation that the utility is transferable. An marginal contribution value for global games is defined. We prove that the Shapley value and some values with some qualities are marginal contribution values. Two different marginal contribution values and some qualities about them are given.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第13期124-128,共5页
Mathematics in Practice and Theory
基金
河北省自然科学基金(A2005000301)
关键词
效用可转移对策
全对策
分划
格
边际贡献值
transferable utility game
global game
partition
lattice
marginal contribution value