A probabilistic position value

Amandine Ghintran, E. González-Arangüena () and C. Manuel ()

Annals of Operations Research, 2012, vol. 201, issue 1, 183-196

Abstract: In this article, we generalize the position value, defined by Meessen (Master’s thesis, 1988 ) for the class of deterministic communication situations, to the class of generalized probabilistic communication situations (Gómez et al. in European Journal of Operational Research 190:539–556, 2008 ). We provide two characterizations of this new allocation rule. Following in Slikker’s (International Journal of Game Theory 33:505–514, 2005a ) footsteps, we characterize the probabilistic position value using probabilistic versions of component efficiency and balanced link contributions. Then we generalize the notion of link potential, defined by Slikker (International Game Theory Review 7:473–489, 2005b ) for the class of deterministic communication situations, to the class of generalized probabilistic communication situations, and use it to characterize our allocation rule. Copyright Springer Science+Business Media, LLC 2012

Keywords: Game theory; TU games; Graph-restricted games; Position value (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (8)

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Working Paper: A probabilistic position value (2011)
Working Paper: A probabilistic position value (2010)
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DOI: 10.1007/s10479-012-1195-1

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