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 pi-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 pi-balancedness condition that is both necessary and sufficient for non-emptiness of the core. (C) 2003 Elsevier Inc. All rights reserved.
- Cooperative games
- N-PERSON GAME