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Quasi-values on Sub-spaces of Games

Author

Listed:
  • Itzhak Gilboa

    (Dep. of Managerial Economics and Decision Sciences - Northwestern University [Evanston])

  • Dov Monderer

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.

Suggested Citation

  • Itzhak Gilboa & Dov Monderer, 1991. "Quasi-values on Sub-spaces of Games," Post-Print hal-00481642, HAL.
    • Handle: RePEc:hal:journl:hal-00481642
    DOI: 10.1007/BF01766426
    as

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    Keywords

    theory; verification;

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