A probabilistic position value

A probabilistic position value

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Article ID: iaor20128193
Volume: 201
Issue: 1
Start Page Number: 183
End Page Number: 196
Publication Date: Dec 2012
Journal: Annals of Operations Research
Authors: , ,
Keywords: resource allocation, stochastic linear programme
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., 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 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.

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