多维Bertrand博弈均衡存在性  

The existence of equilibrium in the multi-dimension Bertrand game

作　　者：徐进[1] 陈柏晓[1] 

机构地区：[1]山东大学数学学院,山东济南250100

出　　处：《山东大学学报（理学版）》2008年第12期80-83,共4页Journal of Shandong University(Natural Science)

基　　金：山东省软科学研究资助项目(B2006078)

摘　　要：根据现实经济的情况,通过引入生产能力约束来改进原来的多维Bertrand博弈。可以证明,当生产能力取不同值时,博弈存在纯策略或者混合策略均衡。According to the phenomena of games among the corporations in economic activities, the multi-dimension Bertrand model was developed through the introduction of the condition that the firms were limited by capacity constrains. It was shown that if the value of the capacity is different, the game possesses pure-strategy or mixed-strategy equilibria.

关 键 词：Bertrand 生产能力 有效配给规则 均衡 

分 类 号：O225[理学—运筹学与控制论]