收益为区间值的双边链路形成策略优化非合作-合作两型博弈方法  

A noncooperative-cooperative biform game method to optimizing strategies of bilateral link network formation with profits represented by interval value

作　　者：梁开荣 李登峰 陈丽强 LIANG Kairong;LI Dengfeng;CHEN Liqiang(School of Economics and Management.Fuzhou University,Fuzhou 350116,China;School of Management and Economics,University of Electronic Science and Technology of China,Chengdu 611731,China)

机构地区：[1]福州大学经济与管理学院,福州350116 [2]电子科技大学经济与管理学院,成都611731

出　　处：《系统工程理论与实践》2021年第9期2300-2315,共16页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(72071032)。

摘　　要：网络经济下各实体或节点为了最大化自身收益(如信息流量),需要决定不同的链接形式,但链接形式的选择会受到联盟结构及收益分配的影响,同样联盟结构及收益分配也会根据链接形式的不同而发生变化.若单纯采用传统的非合作博弈无法解决这些网络外部性问题,传统的合作博弈又未涉及策略设计问题.同时,由于现实的不确定性和获得精准收益的数据比较困难,通常采用大致范围即区间表示联盟收益.为了有效解决区间型收益情形同时考虑链接形式选择和区间收益分配的双边链路问题,本文提出了一种新的基于区间Banzhaf值的区间非合作-合作两型博弈模型.该模型由局中人、策略、联盟形式及联盟收益四个基本元素构成,分为区间非合作博弈和区间合作博弈两部分.其中,区间非合作博弈的分配值并未直接给出,而是由区间合作博弈部分通过本文新定义的区间Banzhaf值分配确定,进而求解所构建的区间非合作博弈,得到纳什均衡解.这保证了区间非合作-合作两型博弈可以体现并追溯网络效率属性问题,也是与传统非合作博弈、合作博弈最大的本质区别.通过数值实例验证所建模型与方法的有效性、可应用性,可为解决复杂竞争与合作问题提供新途径.In the network economy,each player(node) needs to decide different link forms to maximize its own profits(such as information flow),but the choice of link form will be affected by the coalition structure and profit distribution in which vary depending on the link form.The traditional non-cooperative games cannot solve these network externalities problems,and the traditional cooperative games do not involve strategy design issues.At the same time,due to the uncertainty in real life and the difficulty of obtaining accurate profits,the approximate range is usually expressed as an interval.To effectively solve the problem of bilateral links under profits represented by interval value,considering both link form selection and profit distribution,a noval interval noncooperative-cooperative biform game method based on interval Banzhaf values is put forward.The interval noncooperative-cooperative biform game consists of four factors:Players,strategy,coalition mode and coalition characteristic function,and it is divided into two parts of interval noncooperative games and interval cooperative games.Where the payoff value of the interval non-cooperative game is not directly given,but is determined by the interval cooperative game.This ensures that the interval biform game can reflect and trace the problem of network efficiency properties,which is also the biggest difference from the traditional noncooperative game.Finally,a numerical example is adapted to verify the validity and applicability of the models and methods,which can provide new ways to solve complex competition and cooperation problems.

关 键 词：双边链路 区间值 区间非合作-合作两型博弈 区间Banzhaf值 区间接受度 

分 类 号：O225[理学—运筹学与控制论]