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A probabilistic position value

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Author Info

  • Amandine Ghintran

    ()
    (Óbuda University)

  • Enrique Gonzalez-Arangüena
  • Conrado Manuel

Abstract

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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Bibliographic Info

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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Related research

Keywords: Game Theory; TU Games; Graph-restricted Games; Position Value.;

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References

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  1. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
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Cited by:
  1. van den Nouweland, Anne & Slikker, Marco, 2012. "An axiomatic characterization of the position value for network situations," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 266-271.
  2. Julia Belau, 2012. "A New Outside Option Value for Networks: The Kappa-Value – Measuring Distribution of Power of Political Agreements," Ruhr Economic Papers 0326, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.

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