A probabilistic position value

Amandine Ghintran, Enrique González-Aragüena and Conrado Manuel

No 1006, Working Paper Series from Óbuda University, Keleti Faculty of Business and Management

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.

Keywords: Game Theory; TU Games; Graph-restricted Games; Position Value.; Game Theory; TU Games; Graph-restricted Games; Position Value. (search for similar items in EconPapers)
Pages: 25 pages
Date: 2010
New Economics Papers: this item is included in nep-cdm, nep-gth and nep-hpe
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Citations: View citations in EconPapers (2)

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Related works:
Journal Article: A probabilistic position value (2012)
Working Paper: A probabilistic position value (2011)
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