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A Geometric Characterisation of the Compromise Value

Author

Listed:
  • Borm, P.E.M.

    (Tilburg University, Center For Economic Research)

  • Hendrickx, R.L.P.

    (Tilburg University, Center For Economic Research)

  • Quant, M.

    (Tilburg University, Center For Economic Research)

  • Gonzalez-Diaz, J.

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. Copyright Springer-Verlag 2005
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Borm, P.E.M. & Hendrickx, R.L.P. & Quant, M. & Gonzalez-Diaz, J., 2003. "A Geometric Characterisation of the Compromise Value," Discussion Paper 2003-88, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:47f24376-3c3c-4097-a54e-da4d22031865
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    References listed on IDEAS

    as
    1. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & van Velzen, S., 2003. "Compromise Stable TU-Games," Other publications TiSEM 01a28f48-0b1b-43f9-8dac-3, Tilburg University, School of Economics and Management.
    2. Muto, S. & Nakayama, M. & Potters, J.A.M. & Tijs, S.H., 1988. "On big boss games," Other publications TiSEM 488a314a-179c-4628-91e6-7, Tilburg University, School of Economics and Management.
    3. Tijs, S.H. & Lipperts, F.A.S., 1982. "The hypercube and the core cover of N-person cooperative games," Other publications TiSEM f86cf523-f36d-4652-b774-6, Tilburg University, School of Economics and Management.
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    Cited by:

    1. Julio González-Díaz & Estela Sánchez-Rodríguez, 2007. "A natural selection from the core of a TU game: the core-center," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(1), pages 27-46, September.
    2. A. Estévez-Fernández & M. Fiestras-Janeiro & M. Mosquera & E. Sánchez-Rodríguez, 2012. "A bankruptcy approach to the core cover," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 76(3), pages 343-359, December.
    3. Miguel Ángel Mirás Calvo & Carmen Quinteiro Sandomingo & Estela Sánchez-Rodríguez, 2022. "The average-of-awards rule for claims problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(4), pages 863-888, November.
    4. Keyzer, Michiel & van Wesenbeeck, Cornelia, 2011. "Optimal coalition formation and surplus distribution: Two sides of one coin," European Journal of Operational Research, Elsevier, vol. 215(3), pages 604-615, December.
    5. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    6. Gong, Doudou & Dietzenbacher, Bas & Peters, Hans, 2021. "Two-bound core games and the nucleolus," Research Memorandum 020, Maastricht University, Graduate School of Business and Economics (GSBE).

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    Keywords

    geometry; games; bankruptcy; core;
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