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合作对策的改进Shapley解 被引量:5

Improved Shapley Value for Cooperative Games
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摘要 本文根据经典合作对策Shapley解的适用范围提出了改进Shapley解,且改进Shapley解更能描述现实生活中的一类经济现象。同时利用与刻画经典合作对策Shapley解类似的几个公理刻画了改进Shapley解。并将改进Shapley解的分配方法应用到了协调利益分配的实例中。 In this paper, we make a study of the improved Shapley value according to the classical cooperative games. Axioms of Shapley value are used to characterize the improved Shapley value. At last, we apply the improved Shapley value to a profit allocation instance.
出处 《运筹与管理》 CSCD 北大核心 2009年第1期82-85,共4页 Operations Research and Management Science
基金 国家自然科学基金资助项目(70571065) 陕西省科学自然基金资助项目(2007A09)
关键词 合作对策 改进Shapley解 公理化 分配 cooperative games improved shapley value axiomatic characterization imputation.
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参考文献5

  • 1Shapley L S. A value for n-persons games[ J]. Annals of Mathematics Studies, 1953, (28) : 307-318.
  • 2Shapley L S. On balanced games without sidepayments[ M]. Hu T C, Robinson S M eds. , Math. Programming. Academic Press, 1973.
  • 3Shapley L S. A value for n-person games. In: Kuhn HW, Tucker AW(Eds) Contributions to the Theory of Games, II. Annals of Mathematics Studies No. 28, Princeton[ M]. NJ: Princeto University Press, 1953. 307-317.
  • 4ZHANG Sheng-kai, ZHANG Ya-dong. Game theory and decision methods[ M]. Dalian: Dongbei University of Finance& Economics Press, 2000. 263-385.
  • 5Andrzej Nowak S. On an axiomatization of the banzhaf value without the additivity axiom[ J]. International Journal of Game Theory, 1997: 26: 137-141.

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