协调博弈量子演化模型分析

doi:10.16381/j.cnki.issn1003-207x.2020.1320

中国管理科学 ›› 2023, Vol. 31 ›› Issue (6): 253-264.doi: 10.16381/j.cnki.issn1003-207x.2020.1320

• 论文 • 上一篇

协调博弈量子演化模型分析

黄定轩¹, 吴永娇², 卢锐³, 李树良⁴, ⁵

1.重庆理工大学管理学院，重庆400054；2.温州大学商学院，浙江温州325000；3.杭州师范大学经济与管理学院，浙江杭州311121；4.威斯敏斯特大学商学院，英国伦敦NW15LS；5.西南交通大学经济管理学院，四川成都610031

收稿日期:2020-07-10 修回日期:2021-03-07 发布日期:2023-06-17
通讯作者: 卢锐(1969-)，男(汉族)，安徽长丰人，杭州师范大学经济与管理学院，教授，研究方向：管理科学，Email:dashlu@163.com E-mail:dashlu@163.com
基金资助:
国家社会科学基金资助项目(21XGL002);国家自然科学基金资助项目(71662008，41761112);重庆市教育委员会人文社会科学研究项目(21SKGH176)

Analysis of the Quantum Evolutionary Game of Coordination Game

HUANG Ding-xuan¹, WU Yong-jiao², LU Rui³, LI Shu-liang⁴, ⁵

1. School of Management, Chongqing University of Technology, Chongqing 400054, China;2. Business School, Wenzhou University, Wenzhou 325000, China；3. Economics and Management School, Hangzhou Normal University, Hangzhou 311121, China；4. Westminster Business School, the University of Westminster, London, NW1 5LS, UK;5. School of Economics & Management, Southwest Jiao Tong University, Chengdu 610031, China

Received:2020-07-10 Revised:2021-03-07 Published:2023-06-17
Contact: 卢锐 E-mail:dashlu@163.com

摘要/Abstract

摘要： 协调合作是人类重要的特征之一，但经典博弈理论难以精准刻画人类决策过程中的多样性与复杂性。为此，本研究整合量子计算与演化博弈理论，以协调博弈模型为基础，构建协调博弈量子演化模型，并对五种特殊情境的局部稳定性进行系统分析。研究结果表明：协调博弈演化模型是协调博弈量子演化模型的子集；在协调博弈演化模型中判断为不稳定的点由于状态叠加的作用，在量子版模型中也可以稳定；状态叠加和纠缠可以为协调博弈量子演化模型提供独特的解决方案，该方案中不同的参与者具有相同的收益且两个相同局部均衡点均是渐近稳定点。在对模型结果分析讨论的基础上，本文提出了量子系统管理应关注系统整体、鼓励包容、有效沟通三点管理启示。论文为通过微观行为发现中观现象提供了有益借鉴。

关键词: 协调博弈；量子博弈；演化博弈；稳定性分析

Abstract: Coordination and cooperation are one of the important characteristics of mankind. However, the decision-making of human does not meet the principles of independent decision-making and complete rationality stipulated by classical decision-making, especially when both sides have certain common interests. To solve this problem, based on the theory of quantum computing and evolutionary game theory, coordination game is taken as the template, the two methods are integrated effectively, and the quantum evolutionary game model of coordination game is proposed. The stability of our model at five special cases is analyzed by using the stability theory of ordinary differential equations. In addition, based on the quantum system management, the effective management enlightenment is put forward.

Key words: coordination game; quantum game; evolutionary game; stability analysis

中图分类号:

F270

黄定轩, 吴永娇, 卢锐, 李树良. 协调博弈量子演化模型分析[J]. 中国管理科学, 2023, 31(6): 253-264.

HUANG Ding-xuan, WU Yong-jiao, LU Rui, LI Shu-liang,. Analysis of the Quantum Evolutionary Game of Coordination Game[J]. Chinese Journal of Management Science, 2023, 31(6): 253-264.

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协调博弈量子演化模型分析

Analysis of the Quantum Evolutionary Game of Coordination Game

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