不完全信息多维Cournot模型及其分析

摘要

According to phenomena of games in actual, the paper firstly puts forward to the concept of multidimensional game, then describes its characteristics and strategy form and extends the Nash equilibrium to the multidimensional Nash equilibrium, finally, discusses multidimensional Cournot model with Incomplete Information on two kinds of products with certain substitutes for one another, and further analyzes that the selected two equilibrium strategies in two firms' independently participating in game for each kind of product output are inferior to the selected strategy vector in firms' participating in the multidimensional game for the two kinds of product output.%根据现实中的博弈现象,本文首先提出了多维博弈概念,然后描述了其特征、策略型式,并将Nash均衡扩展为多维Nash均衡.最后,讨论了两个企业关于具有一定替代性的两种产品的不完全信息静态多维Cournot多维博弈模型,并进一步分析得到两个企业对两种产品单独博弈的均衡策略劣于对两种产品多维博弈的均衡策略.