A probabilistic position value
type: Dataset
contact point: Organization
  fn: CCSD
keyword: position-value
keyword: qfinrmquantitative-finance-q-finrisk-management-q-finrm
keyword: graph-restricted-games
keyword: infoeu-reposemanticspreprint
keyword: game-theory
keyword: preprints-working-papers-
keyword: tu-games
landing page: https://lilloa.hal.science/hal-00988137
description: 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.
issued: 2026-05-05T11:55:21.625087
language: en
modified: 2026-05-05T11:55:21.625093

test_moissonnage_selune
type: Agent

A probabilistic position value
type: Distribution
access URL: https://lilloa.hal.science/hal-00988137
format: HTML
issued: 2026-05-05T11:55:21.626374
modified: 2026-05-05T11:55:21.612439