具有风险因素的多联盟部分合作对策  

Partial Cooperative Game Model with Multi-coalition Structure and Risk Factors

作　　者：代业明[1] 高岩[2] 高红伟[1] 

机构地区：[1]青岛大学数学与统计学院,青岛266071 [2]上海理工大学管理学院,上海200093

出　　处：《应用数学学报》2016年第6期878-889,共12页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(11171221;71571108);上海市一流学科(XTKX2012)资助项目

摘　　要：多联盟部分合作对策是指对策中的局中人通过引入合作函数,彼此合作或采取单独行动来对非合作对策规则进行更改,形成具有多联盟结构的扩展型部分合作对策.本文克服多联盟部分合作对策中不同局中人联盟单调递增约束,局中人加入联盟后可以退出加入到其他联盟中;同时考虑风险因素的影响,采用专家打分法和网络分析法(ANP)重新确定联盟局中人各自所占的权重,对多联盟部分合作对策中构造的合作子对策的联盟收益分配方式进行改进,从而建立具有风险因素的多联盟部分合作对策模型,并利用逆推归纳法得到对策解的算法.最后通过实例说明所建模型及结论的合理性,体现实际经济管理过程中结盟的变化和风险的影响.Partial cooperative game with multi-coalition structure refers to the players cooperate with each other or act separately by introducing cooperative function to change the game rules. In this paper, we overcome the monotone increasing constraints of the different coalition structure in the partial cooperative game with multi-coalition structure, the players can quit to join the other coalition after joining into one coalition. We also consider the influence of risk factors, uses the expert scoring method and the network process （ANP） to determine the weights of the players in coalition, so as to improve the income distribution of players in coalition, while the partial cooperative game model with multi-coalition structure and risk factors is proposed. The backward induction is used to obtain the solution of game. At last, the example shows that the proposed model and conclusions are rational, which reflect the change process of coalition structure and the impact of risk in the real economic management circumstances.

关 键 词：部分合作对策 多联盟结构 风险因素 逆推归纳法 

分 类 号：O225[理学—运筹学与控制论]