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Weighted Myerson Value

Author

Listed:
  • GUILLAUME HAERINGER

    (BETA–THEME, Université Louis Pasteur, 61, avenue de la Forêt Noire, F-67085 Strasbourg Cedex, France)

Abstract

The Myerson value [Myerson, (1977)] is defined for TU games on communication graphs. By dropping the symmetry argument used by Myerson, this paper generalises his concept, which is then shown to be equal to the weighted Shapley value. Two axiomatic characterisations are proposed: one including the weights in the axioms set, and one without.

Suggested Citation

  • Guillaume Haeringer, 1999. "Weighted Myerson Value," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 1(02), pages 187-192.
    • Handle: RePEc:wsi:igtrxx:v:01:y:1999:i:02:n:s021919899900013x
    DOI: 10.1142/S021919899900013X
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    Citations

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    Cited by:

    1. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2015. "An allocation rule for dynamic random network formation processes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(2), pages 283-313, October.
    2. Ghintran, Amandine, 2013. "Weighted position values," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 157-163.
    3. Niharika Kakoty & Surajit Borkotokey & Rajnish Kumar & Abhijit Bora, 2024. "Weighted Myerson value for Network games," Papers 2402.11464, arXiv.org.
    4. Harald Wiese, 2012. "Values with exogenous payments," Theory and Decision, Springer, vol. 72(4), pages 485-508, April.
    5. Kamijo, Yoshio, 2009. "A linear proportional effort allocation rule," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 341-353, November.
    6. Borkotokey, Surajit & Sarangi, Sudipta, 2011. "Allocation rules for fixed and flexible networks: the role of players and their links," MPRA Paper 38340, University Library of Munich, Germany.
    7. C. Manuel & D. Martín, 2021. "A value for communication situations with players having different bargaining abilities," Annals of Operations Research, Springer, vol. 301(1), pages 161-182, June.
    8. Casajus, André & Tutić, Andreas, 2013. "Nash bargaining, Shapley threats, and outside options," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 262-267.
    9. Roger A McCain, 2013. "Value Solutions in Cooperative Games," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8528, December.

    More about this item

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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