A necessary and sufficient condition for non-emptiness of the core of a non-transferable utility game
AbstractIt 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 (1970) 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 non--emptiness of the core.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 116 (2004)
Issue (Month): 1 (May)
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Web page: http://www.elsevier.com/locate/inca/622869
Other versions of this item:
- Herings,P. Jean-Jacques & Predtetchinski,Arkadi, 2002. "A Necessary and Sufficient Condition for Non--emptiness of the Core of a Non--transferable Utility Game," Research Memorandum 016, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
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- Laan, G. van der & Talman, A.J.J. & Yang, Z.F., 1998.
"Cooperative games in permutational structure,"
Open Access publications from Tilburg University
urn:nbn:nl:ui:12-76584, Tilburg University.
- Kannai, Yakar, 1992. "The core and balancedness," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 12, pages 355-395 Elsevier.
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