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Weighted position values

Author

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  • Ghintran, Amandine

Abstract

The goal of this article is to generalize the position value (Meessen, 1988) in order to take into account the negotiation powers of players on the allocation of the worth. These negotiation powers are formalized via a weight scheme similar to the one defined by Haeringer (2006). We define and characterize a class of allocation rules such that the payoffs of the players are increasing with respect to weights.

Suggested Citation

  • Ghintran, Amandine, 2013. "Weighted position values," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 157-163.
  • Handle: RePEc:eee:matsoc:v:65:y:2013:i:3:p:157-163
    DOI: 10.1016/j.mathsocsci.2013.01.003
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    References listed on IDEAS

    as
    1. Marco Slikker, 2005. "A characterization of the position value," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(4), pages 505-514, November.
    2. Haeringer, Guillaume, 2006. "A new weight scheme for the Shapley value," Mathematical Social Sciences, Elsevier, vol. 52(1), pages 88-98, July.
    3. Borm, P.E.M. & Owen, G. & Tijs, S.H., 1992. "On the position value for communication situations," Other publications TiSEM 5a8473e4-1df7-42df-ad53-f, Tilburg University, School of Economics and Management.
    4. Ehud Kalai & Dov Samet, 1983. "On Weighted Shapley Values," Discussion Papers 602, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Martin Shubik, 1962. "Incentives, Decentralized Control, the Assignment of Joint Costs and Internal Pricing," Management Science, INFORMS, vol. 8(3), pages 325-343, April.
    6. Chun, Youngsub, 1991. "On the Symmetric and Weighted Shapley Values," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(2), pages 183-190.
    7. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    8. repec:spr:compst:v:52:y:2000:i:1:p:39-56 is not listed on IDEAS
    9. Guillermo Owen, 1968. "Communications to the Editor--A Note on the Shapley Value," Management Science, INFORMS, vol. 14(11), pages 731-731, July.
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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. repec:gam:jgames:v:9:y:2018:i:2:p:29-:d:148247 is not listed on IDEAS
    3. repec:spr:sochwe:v:50:y:2018:i:1:d:10.1007_s00355-017-1074-4 is not listed on IDEAS
    4. Borkotokey, Surajit & Kumar, Rajnish & Sarangi, Sudipta, 2015. "A solution concept for network games: The role of multilateral interactions," European Journal of Operational Research, Elsevier, vol. 243(3), pages 912-920.

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