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A geometric characterisation of the compromise value

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Abstract

In this paper, we characterise the compromise value of a game as the barycentre of the edges of its core cover. For this, we introduce the τ* value, which extends the adjusted proportional rule for bankruptcy situations and coincides with the compromise value on a large class of games.

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Authors and Affiliations

  1. Departamento de Estatística e IO, Universidad de Santiago de Compostela,  

    Julio González Díaz

  2. CentER and Department of Econometrics and Operations Research, Tilburg University, P.O. Box 901535000, LE, Tilburg, The Netherlands

    Peter Borm, Ruud Hendrickx & Marieke Quant

Authors
  1. Julio González Díaz
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  2. Peter Borm
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  3. Ruud Hendrickx
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  4. Marieke Quant
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Additional information

Manuscript received: December 2003 / Final version received: July 2004

This author acknowledges the financial support of the Spanish Ministry for Science and Technology and FEDER through project BEC2002-04102-C02-02.

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Díaz, J.G., Borm, P., Hendrickx, R. et al. A geometric characterisation of the compromise value. Math Meth Oper Res 61, 483–500 (2005). https://doi.org/10.1007/s001860400407

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  • DOI: https://doi.org/10.1007/s001860400407

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