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Quasi-values on Sub-spaces of Games

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 : theory verification
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https://hal-hec.archives-ouvertes.fr/hal-00481642
Contributor : Antoine Haldemann <>
Submitted on : Friday, May 7, 2010 - 9:50:31 AM
Last modification on : Monday, January 29, 2018 - 5:22:54 PM

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

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