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An Axiomatization of Shapley Values of Games on Set Systems

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Modeling Decisions for Artificial Intelligence (MDAI 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4617))

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Abstract

An axiomatization of a generalized Shapley value of games is proposed. The authors follow Faigle and Kern, in the sense that our basic material is the maximal chains of the underlying set system. This generalized Shapley value may have applicability to the game on set systems which satisfy the condition of a sort of normality.

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References

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Vicenç Torra Yasuo Narukawa Yuji Yoshida

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© 2007 Springer-Verlag Berlin Heidelberg

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Honda, A., Okazaki, Y. (2007). An Axiomatization of Shapley Values of Games on Set Systems. In: Torra, V., Narukawa, Y., Yoshida, Y. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2007. Lecture Notes in Computer Science(), vol 4617. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73729-2_18

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  • DOI: https://doi.org/10.1007/978-3-540-73729-2_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73728-5

  • Online ISBN: 978-3-540-73729-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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