A probabilistic position value

Amandine Ghintran, Enrique Gonzalez-Aranguena and Conrado Manuel
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Enrique Gonzalez-Aranguena: departemento de Estadìstica e Investigaciòn Operativa III - departemento de Estadìstica e Investigaciòn Operativa III - UEM - Universidad Europea de Madrid = European University of Madrid
Conrado Manuel: Uni Trier - Trier Universität = Trier University = Université de Trèves

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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 com- munication situations (G ́ Gomez 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 efficiency and balanced link con- tributions. 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.

Keywords: Game Theory; TU Games; Graph-restricted Games; Position Value (search for similar items in EconPapers)
Date: 2011
Note: View the original document on HAL open archive server: https://hal.univ-lille.fr/hal-00988137v1
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Citations: View citations in EconPapers (9)

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Related works:
Journal Article: A probabilistic position value (2012)
Working Paper: A probabilistic position value (2010)
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