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Fuzzy Optimization and Decision Making

Erschienen in:

11.11.2015

A fundamental study for partially defined cooperative games

verfasst von: Satoshi Masuya, Masahiro Inuiguchi

Erschienen in: Fuzzy Optimization and Decision Making | Ausgabe 3/2016

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Abstract

The payoff of each coalition has been assumed to be known precisely in the conventional cooperative games. However, we may come across situations where some coalitional values remain unknown. This paper treats cooperative games whose coalitional values are not known completely. In the cooperative games it is assumed that some of coalitional values are known precisely but others remain unknown. Some complete games associated with such incomplete games are proposed. Solution concepts are studied in a special case where only values of the grand coalition and singleton coalitions are known. Through the investigations of solutions of complete games associated with the given incomplete game, we show a focal point solution suggested commonly from different viewpoints.

Vorheriger Artikel The lambda selections of parametric interval-valued fuzzy variables and their numerical characteristics

Nächster Artikel Supplier selection in supplier chain management using Choquet integral-based linguistic operators under fuzzy heterogeneous environment

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Chateauneuf, A., & Jaffray, J. Y. (1989). Some characterizations of lower probabilities and other monotone capacities through the use of Möbius inversion. Mathematical Social Sciences, 17, 263–283.MathSciNetCrossRefMATH

Choquet, G. (1953). Theory of capacities. Annals de Ifinstitut Fourier, 5, 131–295.MathSciNetCrossRefMATH

Driessen, T. S. H., Khmelnitskaya, A. B., & Sales, J. (2012). 1-concave basis for TU games and the library game. Top, 20, 578–591.MathSciNetCrossRefMATH

Gilboa, I., & Schmeidler, D. (1994). Additive representations of non-additive measures and the Choquet integral. Annals of Operations Research, 52, 43–65.MathSciNetCrossRefMATH

Harsanyi, J. C. (1963). A simplified bargaining model for the \(n\)-person cooperative game. International Economic Review, 4, 194–220.CrossRefMATH

Honda, A., & Okazaki, Y. (2008). Axiomatization of Shapley values of Fagle and Kern type on set systems. Journal of Advanced Computational Intelligence and Intelligent Informatics, 12, 409–415.CrossRef

Housman, D. (2001). Linear and symmetric allocation methods for partially defined cooperative games. International Journal of Game Theory, 30, 377–404.MathSciNetCrossRefMATH

Kopelowitz, A. (1967). Computation of the kernels of simple games and the nucleolus of cooperative games as locuses in the strong \(\epsilon \)-core. Research Memo. 31. Jerusalem: Department of Mathematics, Hebrew University.

Pawlak, Z. (1991). Rough sets. Theoretical aspects of reasoning about data. Dordrecht: Kluwer.MATH

Polkowski, L., & Araszkiewicz, B. (2002). A rough set approach to estimating the game value and the Shapley value from data. Fundamenta Informaticae, 53, 335–343.MathSciNetMATH

Schmeidler, D. (1969). The nucleolus of a characteristic function game. SIAM Journal on Applied Mathematics, 17, 1163–1170.MathSciNetCrossRefMATH

Shafer, G. (1976). A mathematical theory of evidence. Princeton: Princeton University Press.MATH

Shapley, L. S. (1953). A value for \(n\)-person games. In H. Kuhn & A. Tucker (Eds.), Contributions to the theory of games II (pp. 307–317). Princeton: Princeton University Press.

Tanino, T. (2006). On dividends for cooperative games. RIMS Kôkyûroku, 1484, 5–15.

Von Neumann, J., & Morgenstern, O. (1953). Theory of Games and Economic Behavior. Princeton: Princeton University Press.MATH

Willson, S. J. (1993). A value for partially defined cooperative games. International Journal of Game Theory, 21, 371–384.MathSciNetCrossRefMATH

Titel: A fundamental study for partially defined cooperative games
verfasst von: Satoshi Masuya
Masahiro Inuiguchi
Publikationsdatum: 11.11.2015
Verlag: Springer US
Erschienen in: Fuzzy Optimization and Decision Making / Ausgabe 3/2016
Print ISSN: 1568-4539
Elektronische ISSN: 1573-2908
DOI: https://doi.org/10.1007/s10700-015-9229-1

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