具有风险因素的多联盟部分合作对策

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具有风险因素的多联盟部分合作对策代业明¹, 高岩², 高红伟¹1. 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 Partial Cooperative Game Model with Multi-coalition Structure and Risk Factors DAI Yeming¹, GAO Yan², GAO Hongwei¹1. College of mathematics and Statistics, Qingdao University, Qingdao 266071, China;
2. School of Management, University of Shanghai for Science and Technology, Shanghai 200093, China

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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.

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收稿日期: 2015-10-21

PACS:

O225

基金资助:国家自然科学基金（11171221，71571108），上海市一流学科（XTKX2012）资助项目.

引用本文:

代业明, 高岩, 高红伟. 具有风险因素的多联盟部分合作对策[J]. 应用数学学报, 2016, 39(6): 878-889. DAI Yeming, GAO Yan, GAO Hongwei. Partial Cooperative Game Model with Multi-coalition Structure and Risk Factors. Acta Mathematicae Applicatae Sinica, 2016, 39(6): 878-889.

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