收益为三角模糊数的双边链路网络形成优化非合作-合作两型博弈方法
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作者单位:

1.福州大学经济与管理学院;2.电子科技大学经济与管理学院

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中图分类号:

C93

基金项目:

国家自然科学基金项目(72071032,71572040)


A Noncooperative-cooperative Biform Game Method of Bilateral Link Network Formation Optimization with Profits Represented by Triangular Fuzzy Numbers
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Affiliation:

1.School of Economics and Management, Fuzhou University;2.School of Management and Economics, University of Electronic Science and Technology of China

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    摘要:

    针对收益为三角模糊数的双边链路网络形成问题,本文提出了一种新的三角模糊非合作-合作两型博弈,由节点(局中人)、链接方式(策略选择)、网络形成(联盟形成)和信息流量(联盟收益)四个要素组成,包括三角模糊非合作博弈和合作博弈两部分。三角模糊非合作博弈部分的支付值未事先给定,而是由三角模糊合作博弈部分通过计算新定义的三角模糊Banzhaf值分配确定,进而求解三角模糊非合作博弈纳什均衡解。文中还提出并证明了三角模糊非合作-合作两型博弈存在纳什均衡解的一般性条件。数值算例说明文中所建模型与方法的有效性、可应用性和复杂性,可为同时解决节点(局中人)策略设计与节点链接(联盟形成)及收益分配问题提供新途径。

    Abstract:

    This paper puts forward a novel triangular fuzzy non-cooperative-cooperative biform game approach to explore the formation of bilateral link network with triangular fuzzy numbers. The triangular fuzzy noncooperative-cooperative biform game contains four factors that are nodes (or players), link modes (or strategy choice), network formation (or coalition formation) and information flow (or coalition profits), and it combines the advantages of the triangular fuzzy non-cooperative game and the triangular fuzzy cooperative game. Where the payoff of the triangular fuzzy non-cooperative game part is not directly given, but is determined by the triangular fuzzy cooperative game part through the newly defined triangular fuzzy Banzhaf value, and then the Nash equilibrium solution of the triangular fuzzy non-cooperative game is solved. In addition, a general existence condition of the Nash equilibrium in triangular fuzzy noncooperative-cooperative biform game is proposed and proved, and it can always guarantee the existence of equilibrium solutions. Numerical example is used to verify the effectiveness, applicability and complexity of the models and methods presented in the paper, and it provides a new way to simultaneously solve the problem of node (player), strategy design, node link (coalition formation) and profits allocation.

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  • 收稿日期:2020-09-17
  • 最后修改日期:2021-03-01
  • 录用日期:2021-03-03
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