Journal
MATHEMATICAL SOCIAL SCIENCES
Volume 56, Issue 3, Pages 303-313Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.mathsocsci.2008.06.003
Keywords
Cooperative games; Farsighted core; Consistent set; von Neumann-Morgenstern farsighted stable set; Shapley value
Ask authors/readers for more resources
We Study farsighted coalitional stability in the context of TU-games. We show that every TU-game has a nonempty largest consistent set and that each TU-game has a von Neumann-Morgenstern farsighted stable set. We characterize the collection of von Neumann-Morgenstern farsighted stable sets. We also show that the farsighted core is either empty or equal to the set of imputations of the game. In the last section, we explore the stability of the Shapley Value. The Shapley value of a superadditive game is a stable imputation: it is a core imputation or it constitutes a von Neumann-Morgenstern farsighted stable set. A necessary and sufficient condition for a superadditive game to have the Shapley Value in the largest consistent set is given. (C) 2008 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available