Quasi-values on Sub-spaces of Games - HEC Paris - École des hautes études commerciales de Paris Access content directly
Journal Articles International Journal of Game Theory Year : 1991

Quasi-values on Sub-spaces of Games

Dov Monderer
  • Function : Author

Abstract

Quasi-values are operators satisfying all axioms of the Shapley value with the possible exception of symmetry. We introduce the characterization and extendability problems for quasivalues on linear subspaces of games, provide equivalence theorems for these problems, and show that a quasi-value on a subspaceQ is extendable to the space of all games iff it is extendable toQ+Sp{u} for every gameu. Finally, we characterize restrictable subspaces and solve the characterization problem for those which are also monotone.

Keywords

Dates and versions

hal-00481642 , version 1 (07-05-2010)

Identifiers

Cite

Itzhak Gilboa, Dov Monderer. Quasi-values on Sub-spaces of Games. International Journal of Game Theory, 1991, vol.19, n°4, pp.353-363. ⟨10.1007/BF01766426⟩. ⟨hal-00481642⟩

Collections

HEC
78 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More