博弈论的粗集模型  

Rough Set Models of Game Theory

作　　者：昝廷全[1] 朱天博[1] 

机构地区：[1]中国传媒大学中国系统经济研究中心,北京100024

出　　处：《中国传媒大学学报（自然科学版）》2010年第2期19-26,共8页Journal of Communication University of China：Science and Technology

基　　金：教育部"新世纪优秀人才支持计划"资助(NCET-060191)

摘　　要：本文首先分析了博弈论中对不完备信息的描述,利用粗集中对不完备信息的处理方法,将完全信息与不完全信息进行了粗集特征区分。经典博弈论用概率来处理信息的不确定性,本文将信息的不确定性用粗集的方法进行描述,将信息的传递看作是粗传递,较为详细地讨论了信息粗传递在不完全信息动态博弈中的应用。本文为粗集和博弈论之间架起了桥梁,给博弈论中不确定信息的描述提供了新的方法和角度。This article starts with analyzing the discription of incomplete information in game theory.Then it uses mathod of rough set dealing with incomplete information to distinguish complete information and incomplete information on rough-set charicteristic.Classic game theory deals with the uncertainty of information by probability.In this article we use rough set to discribe uncertainty of information,regarding the transmission of information as rough transmission.Addisionally,it discusses in detail about the use of rough transmission in dynamic game of in-perfect information.This paper sets up a bridge between rough sets and game theory and supplies a new method to description of incomplete information in game theory.

关 键 词：粗集 粗传递 不完全信息 博弈论 

分 类 号：F062.9[经济管理—政治经济学]