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A probabilistic position value

  • Amandine Ghintran

    ()

    (Óbuda University)

  • Enrique Gonzalez-Arangüena
  • Conrado Manuel

In this article, we generalize the position value, defined by Meessen (1988) for the class of deterministic communication situations, to the class of generalized probabilistic communication situations (G´omez et al. (2008)). We provide two characterizations of this new allocation rule. Following in Slikker’s (2005a) footsteps, we characterize the probabilistic position value using probabilistic versions of component eciency and balanced link contributions. Then we generalize the notion of link potential, defined by Slikker (2005b) for the class of deterministic communication situations, to the class of generalized probabilistic communication situations, and use it to characterize our allocation rule. Finally, we show that these two characterizations are logically equivalent.

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File URL: http://uni-obuda.hu/users/vecseya/RePEc/pkk/wpaper/1006.pdf
File Function: Manuscript, 2010
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Paper provided by Óbuda University, Keleti Faculty of Business and Management in its series Working Paper Series with number 1006.

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Length: 25 pages
Date of creation: 2010
Date of revision:
Handle: RePEc:pkk:wpaper:1006.rdf
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  1. repec:spr:compst:v:47:y:1998:i:3:p:423-449 is not listed on IDEAS
  2. Calvo, Emilio & Lasaga, Javier & van den Nouweland, Anne, 1999. "Values of games with probabilistic graphs," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 79-95, January.
  3. Xavier Chojnicki & Lionel Ragot, 2014. "Impacts of Immigration on Aging Welfare-State An Applied General Equilibrium Model for France," EconomiX Working Papers 2014-33, University of Paris West - Nanterre la Défense, EconomiX.
  4. William Thomson, 2001. "On the axiomatic method and its recent applications to game theory and resource allocation," Social Choice and Welfare, Springer, vol. 18(2), pages 327-386.
  5. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
  6. Gómez, D. & González-Arangüena, E. & Manuel, C. & Owen, G., 2008. "A value for generalized probabilistic communication situations," European Journal of Operational Research, Elsevier, vol. 190(2), pages 539-556, October.
  7. 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.
  8. Hamiache, Gerard, 1999. "A Value with Incomplete Communication," Games and Economic Behavior, Elsevier, vol. 26(1), pages 59-78, January.
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