不同初始状态下囚徒困境量子博弈模型研究  

Quantum Prisoner's Dilemma Game Model under Different Initial State

作　　者：张新立[1] 董婷婷[1] 何立红[1] 张恰元 

机构地区：[1]辽宁师范大学数学学院,辽宁大连116021

出　　处：《吉林师范大学学报（自然科学版）》2015年第3期48-51,共4页Journal of Jilin Normal University:Natural Science Edition

基　　金：教育部人文社会科学项目(10YJC630395);大连市科技局项目(2013DBZC186)

摘　　要：为讨论初始状态对演化稳定性的影响.利用量子博弈相关理论,以囚徒困境模型为例,应用Luca Marinatto和Tullio Weber的量子化方案进行量子化,求出不同初始状态下的囚徒困境纳什均衡解,并讨论其演化稳定性.得出:不同初始状态下,纯策略和混合策略纳什均衡解的稳定性都改变.量子初始状态对演化稳定性有影响.To discuss the effect on the evolutionary stability of the initial state ,using the Quantum game theory , the Prisoner ’ s Dilemma model , using Luca Marinatto and Tullio Weber ’ s quantization scheme , the Nash equilibrium results of the prisoner ’ s dilemma under different initial state was calculated and their evolution stability was discussed .Under different initial state ,the evolution stability of the pure strategy and mixed strategy Nash equilibrium are changed .The initial state has an impact on the evolutionary stability .

关 键 词：量子 囚徒困境 初始状态 纳什均衡 演化稳定性 

分 类 号：O225[理学—运筹学与控制论]