A probabilistic position value

作者：Ghintran A^*; Gonzalez Arangueena E; Manuel C

来源：Annals of Operations Research, 2012, 201(1): 183-196.

DOI：10.1007/s10479-012-1195-1

• Game theory
• TU games
• Graph-restricted games
• Position value

In this article, we generalize the position value, defined by Meessen (Master%26apos;s thesis, 1988) for the class of deterministic communication situations, to the class of generalized probabilistic communication situations (Gmez et al. in European Journal of Operational Research 190:539-556, 2008). We provide two characterizations of this new allocation rule. Following in Slikker%26apos;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.

• 出版日期2012-12