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Quasi-Values on Subspaces |
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| Authors: | Prof I Gilboa Prof D Monderer |
| Institution: | 1. Dep. of Managerial Economics and Decision Sciences, J. L. Kellog Graduate School, Northwestern University, Leverone Hall, 2001 Sheridan Road, 60208-2009, Evanston, ILL., USA 2. Department of Managerial Economics and Decision Sciences, J. L. Kellogg Graduate School of Management, Northwestern University, 60208, Evanston, Illinois 3. Department of Industrial Engineering and Management, The Technion, 32000, Haifa, Israel |
| 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. |
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