A necessary and sufficient condition for non-emptiness of the core of a non-transferable utility game |
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Authors: | Arkadi Predtetchinski |
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Institution: | Department of Economics, Universiteit Maastricht, P.O. Box 616, 6200 MD Maastricht, The Netherlands |
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Abstract: | It is well-known that a transferable utility game has a non-empty core if and only if it is balanced. In the class of non-transferable utility games balancedness or the more general π-balancedness due to Billera (SIAM J. Appl. Math. 18 (1970) 567) is a sufficient, but not a necessary condition for the core to be non-empty. This paper gives a natural extension of the π-balancedness condition that is both necessary and sufficient for non-emptiness of the core. |
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Keywords: | C71 |
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