The positive core of a cooperative game

The positive core of a cooperative game

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Article ID: iaor20102053
Volume: 39
Issue: 1
Start Page Number: 113
End Page Number: 136
Publication Date: Mar 2010
Journal: International Journal of Game Theory
Authors: ,
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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