一种基于粗交流的博弈分类方法

关于博弈的分类，是博弈论研究的基础性工作。传统博弈论关于博弈的分类实际上只考虑了两个分类准则，分别记为信息的完全性和信息的动态特征。于是，传统博弈论得出了关于博弈的如下分类： Game/(θ1∩θ2)=(完全信息静态博弈，完全信息动态博弈，不完全信息静态博弈，不完全信息动态博弈)。本文在此基础上引入关于博弈分类的第三个分类准则：信息粗交流准则，记为=信息交流的粗糙度。由此，我们得到关于博弈的如下分类：Game/(θ1∩θ2∩θ3)=(完全信息静态博弈，完全信息动态博弈，完全信息粗交流静态博弈，完全信息粗交流动态博弈，不完全信息静态博弈，不完全信息动态博弈，不完全信息粗交流静态博弈，不完全信息粗交流动态博弈)

A Method for Classifying Games Based on Rough Communications

The research on classifications of games is a fundamental work of game theory. Traditional clas-sification criteria of Game theory only considered two classification criteria,including Completeness of in-formation and Dynamic characteristic of behavior. therefore,it comes to the category which was the ex-pression of Game/(θ1∩θ2∩) =( static games of complete information,dynamic games of complete infor-mation,static games of incomplete information,dynamic games of incomplete information) ,This paper in-troduces the rough communications to the classification of game on the basis of previous study. Thus,we can get a new category on the game. And it can be expressed as Game/(θ1∩θ2∩θ3 ) =( static games of complete information and accurate communication,dynamic games of complete information and accurate communication,static games of complete information but rough communication, dynamic games of com-plete information but rough communication,static games of incomplete information but accurate communi-cation,dynamic games of incomplete information but accurate communication,static games of incomplete information and rough communication,dynamic games of incomplete information and rough communication=( static games of complete information,dynamic games of complete information,static games of com-plete information but rough communication,dynamic games of complete information but rough communica-tion,static games of incomplete information, dynamic games of incomplete information, static games of incomplete information and rough communication, dynamic games of incomplete information and rough communication).