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Weighted position values

  • Ghintran, Amandine

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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File URL: http://www.sciencedirect.com/science/article/pii/S0165489613000048
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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
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/505565

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  1. Guillaume HAERINGER, 1999. "A New Weight Scheme for the Shapley Value," Working Papers of BETA 9910, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  2. Chun, Youngsub, 1991. "On the Symmetric and Weighted Shapley Values," International Journal of Game Theory, Springer, vol. 20(2), pages 183-90.
  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. repec:spr:compst:v:52:y:2000:i:1:p:39-56 is not listed on IDEAS
  5. Marco Slikker, 2005. "A characterization of the position value," International Journal of Game Theory, Springer, vol. 33(4), pages 505-514, November.
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