期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

拟阵约束下TU模糊合作博弈的Banzhaf-Coleman值 被引量：1

The Modified Banzhaf Value Based on TU Fuzzy Cooperative Games with Restriction of Matroids
下载PDF
导出
摘要 本文利用公理化的方法对TU模糊合作博弈的Banzhaf-Coleman值进行了研究,引入拟阵约束分析了其有效性、可加性、单调性、非实质性、公平性和中立性,并论证了拟阵约束下Banzhaf-Coleman值的唯一性。该方法可用于联盟成员的势力大小的衡量,特别是对房地产开发商Cartel联盟的合作势力大小的评估,也可实现有效的收益分配方案。最后利用实例对该方法的有效性和可行性进行了说明。 This study researches the modified Banzhaf-Coleman value based on TU fuzzy cooperative games by using axiomatic method.By adopting restriction of matroids,we analyze its character of efficiency,additivity,monotonicity,inessential,fairness and neutrality.And it proves its uniqueness of modified Banzhaf-Coleman value under restriction of matroids.This method can be used for power evaluation of alliance member,especially for the power evaluation of Cartel alliance of developer of real estate,as well as realize effective payoff programme.Eventually,a practical example is provided to illustrate the validity and feasibility of this method.
作者 黄武军 刘天虎 许维胜 吴启迪
机构地区 同济大学经济与管理学院 同济大学电子与信息工程学院
出处 《运筹与管理》 CSCD 北大核心 2010年第6期79-85,共7页 Operations Research and Management Science
基金 国家973规划项目(2002CB312200)
关键词 拟阵约束 可转移效用 模糊合作博弈 Banzhaf-Coleman值 restriction of matroids transferable utility fuzzy cooperative games Banzhaf-Coleman value
分类号 O225 [理学—运筹学与控制论]
  • 相关文献

参考文献22

  • 1Banzhaf J F.Weighted voting doesn't work:A mathematical analysis[J].Rutgers Law Review,1965,19:317-343.
  • 2Owen G.Multilinear extensions and the banzhaf value[J].Naval Research Logistics Quart,1975,22:741-750.
  • 3Dubey P,Shapley L S.Mathematical properties of the banzhaf power index[J].Mathematical Operation Research,1979,4:99-131.
  • 4Myerson R B.Graphs and cooperation in games[J].Mathematical Operation Research,1977,2:225-229.
  • 5Aubin J P.Mathematical methods of game and economic theory[M].Amsterdam:North Holland Press,1980.
  • 6Aubin J P.Cooperative fuzzy games[J].Mathematical Operation Research,1981,6:1-13.
  • 7Gilles R P,Owen G,Brink R.Games with permission structures:the conjunctive approach[J].International Journal of Game Theory,1992,20:277-293.
  • 8Derks J,Gilles R P.Hierarchical organization structures and constraints on coalition formation[J].International Journal of Game Theory,1995,24:147-163.
  • 9Vincent F.Alternative axiomatic characterizations of the shapley and banzhaf values[J].International Journal of Game Theory,1995,24:179-186.
  • 10Dragan I.New mathematical properties of the banzhaf value[J].European Journal of Operational Research,1996,95:451-463.

二级参考文献16

  • 1Owen G. Multilinear Extensions of Games. Management Sci., 1971/72, 18:64-79.
  • 2Murofushi T, Soneda S. Techniques for Reading Fuzzy Measures (iii): Interaction Index. In: Nineth Fuzzy System Symposium. Saporo, Japan, 1993:693496.
  • 3Grabisch M. k-order Additive Discrete Fuzzy Measures and their Representation. Fuzzy Sets and Systems, 1997, 92:167-189.
  • 4Grabisch M, Roubens M. An Axiomatic Approach to the Concept of Interaction Among Players in Cooperative Games. Int. J. Game Theory, 1999, 28:547-565.
  • 5Shapley L S. A Value for n-person Games. In: Contributions to the Theory of Games, vol. 2, Annals of Mathematics Studies, no. 28. Princeton University Press, Princeton, N J, 1953, 307-317.
  • 6Banzhaf J. Weighted Voting does not Work: a Mathematical Analysis. Rutgers Law Rev., 1965, 19: 317-343.
  • 7Dubey P, Shapley L S. Mathematical Properties of the Banzhaf Power Index. Math. Oper. Res., 1979, 4:99-131.
  • 8Kojadinovic I. An Axiomatic Approach to the Measurement of the Amount of Interaction Among Criteria or Players. Fuzzy Sets and Systems, 2005, 152:417-435.
  • 9von Neumann J, Morgenstern O. The Theory of Games and Economic Behavior. Princeton, N J: Princeton University Press, 1944.
  • 10Endre Pap. Null-Additive Set Functions. Ister Science Bratislava, 1995.

共引文献3

同被引文献11

  • 1汪贤裕,肖玉明.博弈论及其应用[M].北京:科学出版社,2008:3-15.
  • 2RBRANZEI,DDIMITROV,STIJS.Modelsincooperativegametheory:crisp,Fuzzy,andmultichoicegames[M].LectureNotesinEconomicsandMath-ematicalsystems.2005.
  • 3D BUMARIU,T KROUPA.Enlargedcoresandbargainingschemesingameswithfuzzycoalitions[J].FuzzySetsandSystems,2009,160(5):635-643.
  • 4DFLI.Decisionandgametheoryinmanagementwithintuitionisticfuzzysets[M].Heidelberg:Springer-Verlag,2012.
  • 5RBRANZEI,DDIMITROV,STIJS.Modelsincooperativegametheory[M].Springer:SpringerPublishingPress,2008.
  • 6AubinJP.Coeuretvaleurdesjeuxflousàpaiementslatéraux[J].CR Acad.Sci.Paris,1974(279):891-894.
  • 7GOWEN.Multilinearextensionsofgames[J].ManagementSciences,1972,18(5):64-79.
  • 8FY MENG,QZHANG.Theshapleyfunctionforfuzzycooperativegames with multilinearextensionform[J].AppliedMathematicsLetters,2010,23(5):644-650.
  • 9占家权,张强.一类模糊合作博弈资源与收益分配研究[J].运筹与管理,2010,19(2):8-11. 被引量：5
  • 10孙红霞,张强.基于联盟结构的模糊合作博弈的收益分配方案[J].运筹与管理,2010,19(5):84-89. 被引量：18

引证文献1

二级引证文献1

运筹与管理
2010年 第6期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部