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The positive core of a cooperative game |
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| Authors: | Guni Orshan Peter Sudhölter |
| Affiliation: | 1. Department of Agricultural Economics and Management, The Hebrew University, P. O. Box 12, Rehovot, 76100, Israel 2. Department of Mathematics, The Open University of Israel, 1 University Road, P. O. Box 808, Raanana, 43107, Israel 3. Department of Business and Economics, University of Southern Denmark, Campusvej 55, 5230, Odense M, Denmark |
| Abstract: | The positive core is a nonempty extension of the core of transferable utility games. If the core is nonempty, then it coincides with the core. It shares many properties with the core. Six well-known axioms that are employed in some axiomatizations of the core, the prenucleolus, or the positive prekernel, and one new intuitive axiom, characterize the positive core for any infinite universe of players. This new axiom requires that the solution of a game, whenever it is nonempty, contains an element that is invariant under any symmetry of the game. |
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