基于均匀分布的多维Bertrand博弈模型及均衡分析  

Multidimensional Bertrand model with a uniform distribution and analysis of its equilibrium

作　　者：马国顺[1] 李娟[1] 

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《兰州大学学报（自然科学版）》2016年第1期98-101,共4页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金项目(71061012);甘肃省自然科学基金项目(145RJZAl02)

摘　　要：在分析多维Bertrand博弈模型研究成果的基础上,进一步讨论了两个企业关于具有一定替代性的两种产品,在均匀分布下的不完全信息Bertrand多维博弈模型及其贝叶斯纳什均衡.利用数值算例进行分析,结果表明两个企业分别对每种产品单独博弈时的均衡结果劣于几种产品联合博弈的均衡结果.Based on analytical studies of the Bertrand model,the incomplete information multidimensional Bertrand model and its Bayesian Nash equilibrium were further discussed,which had a uniform distribution on two kinds of products with certain substitutive relationship between two firms.The equilibrium was analyzed with a numerical example,which led to the result that the Bayesian Nash equilibrium in which two firms participated in the game independently for every kind of product was inferior to the equilibrium in which each firm considered the two kinds of products together when participating in the game.

关 键 词：多维博弈 均匀分布 替代性 贝叶斯纳什均衡 

分 类 号：F224.32[经济管理—国民经济] O225[理学—运筹学与控制论]