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A note on compromise values

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Abstract.

The aim of this note is to provide a unified theory of all compromise values defined as the τ-value in cooperative game theory. The so-called covariance property plays a crucial role in our approach and, related to this property, a family of covariant compromise values is introduced. The mentioned characterization is obtained by means of the covariance, efficiency and certain specific proportionality properties. We also prove that the Shapley value belongs to this family, when one is confined to the class of zero-normalized games.

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Authors and Affiliations

  1. Department of Statistics and Applied Mathematics, Faculty of Sciences, Ed. La Galia, University Miguel Hernández of Elche, 03202 Elche (Alicante), Spain (e-mail: joaquin@umh.es), , , , , , ES

    Joaquín Sánchez-Soriano

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  1. Joaquín Sánchez-Soriano
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Manuscript received: June 1999 / final version received: October 1999

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Sánchez-Soriano, J. A note on compromise values. Mathematical Methods of OR 51, 471–478 (2000). https://doi.org/10.1007/s001860000046

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  • DOI: https://doi.org/10.1007/s001860000046

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