不同单位成本条件下库若特模型的量子化研究  

The Cournot game model quantization research under different unit costs conditions

作　　者：张新立[1] 庞雪[1] 张家宝[1] 

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《辽宁师范大学学报（自然科学版）》2014年第4期451-455,共5页Journal of Liaoning Normal University:Natural Science Edition

基　　金：教育部人文社会科学研究规划基金项目(10YJC630395);大连市科技局项目(2013D13ZC186)

摘　　要：使用连续变量的量子系统对不同单位成本条件下的库诺特模型进行量子化处理,构造了一个最小量子化结构方案.求出量子均衡解后对量子均衡利润的相关影响因素进行了分析,并进行数值模拟,研究结果表明:没有纠缠度时,量子博弈还原为经典博弈.当纠缠度取无限大、企业相对单位成本差取特定范围时,此量子博弈模型要优于李慧等人研究的相同成本经典库诺特模型的量子化模型.In this paper ,we study the quantization of classical Cournot model under different unit costs conditions making use of continuous variable quantum systems and construct a minimal quan‐tum structure of the program .The relevant factors for the quantum equilibrium profits are analyzed after obtaining the solution of quantum equilibrium and we make numerical simulation .The results showed that if there is no degree of entanglement ,quantum game reverts to the classic game .When the entanglement takes an infinite degree and the difference of relative unit costs of enterprise takes specific range , this quantum game model is superior to the Cournot quantum model studied by Li Hui .

关 键 词：库诺特模型 量子博弈 纠缠度 连续型变量量子系统 

分 类 号：O225[理学—运筹学与控制论]