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Weighted position values

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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.

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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 65 (2013)
Issue (Month): 3 ()
Pages: 157-163

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Handle: RePEc:eee:matsoc:v:65:y:2013:i:3:p:157-163

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Web page: http://www.elsevier.com/locate/inca/505565

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  1. Guillaume Haeringer, 1998. "A new weight scheme for the Shapley value," Game Theory and Information 9807001, EconWPA.
  2. Marco Slikker, 2005. "A characterization of the position value," International Journal of Game Theory, Springer, vol. 33(4), pages 505-514, November.
  3. Marco Slikker & Anne van den Nouweland, 2000. "Communication situations with asymmetric players," Computational Statistics, Springer, vol. 52(1), pages 39-56, 09.
  4. Borm, P.E.M. & Owen, G. & Tijs, S.H., 1992. "On the position value for communication situations," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154855, Tilburg University.
  5. Chun, Youngsub, 1991. "On the Symmetric and Weighted Shapley Values," International Journal of Game Theory, Springer, vol. 20(2), pages 183-90.
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Cited by:
  1. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2013. "An allocation rule for dynamic random network formation processes," Documents de travail du Centre d'Economie de la Sorbonne 13063, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.

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