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A necessary and sufficient condition for non-emptiness of the core of a non-transferable utility game

Article
Author/s: 
Arkadi Predtetchinski and P. Jean-Jacques Herings
Journal of Economic Theory
Issue number: 
1
Publisher: 
Elsevier
Year: 
2004
Journal pages: 
84–92
Webpage [1]
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.

Source URL:http://coalitiontheory.net/content/necessary-and-sufficient-condition-non-emptiness-core-non-transferable-utility-game

Links
[1] http://www.sciencedirect.com/science/article/pii/S0022053103002618