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A note on compromise values

Author

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  • Joaquín Sánchez-Soriano

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. Copyright Springer-Verlag Berlin Heidelberg 2000

Suggested Citation

  • Joaquín Sánchez-Soriano, 2000. "A note on compromise values," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 51(3), pages 471-478, August.
    • Handle: RePEc:spr:mathme:v:51:y:2000:i:3:p:471-478
    DOI: 10.1007/s001860000046
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    Cited by:

    1. Karl Ortmann, 2013. "A cooperative value in a multiplicative model," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(3), pages 561-583, September.

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