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基于模糊方法的多人合作对策的研究 被引量:2

Study of Multiple-person Cooperation Game Based on Fuzzy Set
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摘要 多人合作对策模型中联盟的收入和总体的收入常常出现相互矛盾的情况 ,此时核是空集 .由于不存在核 ,无法用 Nash-Harsanyi谈判模型求解 .采用模糊数学方法 ,调整模型中线性约束的右端系数 ,使核在一定程度上是非空集合 ,得到模糊意义下的 Nash平衡解 .该方法一定程度上解决了各联盟收入与总体收入的矛盾 .最后通过一个算例说明该方法的可行性 . The conflict usually takes place between the income of coalition and integration in model of multiple-person cooperation game. Because the core is empty set, the model doesn′t solved by using negotiation model of Nash-Harsanyi. This paper adjusts the right coefficient of linearly constrained to make core non-empty set by using fuzzy mathematic techniques. The model is solved by using negotiation model of Nash-Harsanyi and we illustrate its performance on a numerical example.
出处 《数学的实践与认识》 CSCD 北大核心 2004年第5期69-73,共5页 Mathematics in Practice and Theory
关键词 模糊集 多人合作对策 数学规划 Nash-Harsanyi谈判模型 线性约束 fuzzy set multiple-person cooperation game mathematical programming negotiation model of Nash-Harsanyi
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参考文献3

  • 1Leon T, Liern V. Afuzzy method to repair infeasibility in linearly constrained problems [J]. Fuzzy Sets and Systems, 2001, 122: 237-243.
  • 2Leon T, Liern V, Vercher E. Viability of infeasible portfolio selection problems: A fuzzy approach[J]. European Journal of Operational Research, 2002, 139: 178-189.
  • 3Inuiguchi M, Ramik J. Possibilistic linear programming: A brief review of fuzzy mathematical programming and a comparison with stochatic programming in portfolio selection problem[J]. Fuzzy Sets and Systems, 2000, 111: 3-28.

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