基于粗糙集的不完全信息静态博弈及其均衡分析

不完全信息静态博弈中,往往假定参与者知道其他参与者类型的概率分布,然而很多时候这种概率分布很难甚至根本无法获得,参与人只能主观判断确定概率分布.论文使用粗糙集方法处理这种不确定性,参与人依赖对其他参与人类型的信息判断,计算其他参与人类型的近似精度,以此建立不完全信息静态博弈的粗集模型并定义粗糙静态均衡,最后通过古诺竞争模型说明该模型的运用.

Static Games and Equilibrium of Incomplete Information Based on Rough Set

In a static game of incomplete information,usually supposing each player knows probability distribution of other players＇type. However, the probability distribution is very hard to be acquired in many cases, even more impossible. Players only can determine the distribution based on their subjective judgment. The paper uses rough set to deal with uncertain problems. Each player computes accuracy measure of other players＇ type depending on information of their types. Then,a rough model of static games of incomplete information is established, and a rough static equilibrium is defined. This article also illustrates the application of the model by using Cournot competition model at last.