A generalization of theKohlberg criterion
- Prof. G. Owen
- … show all 1 hide
Purchase on Springer.com
$39.95 / €34.95 / £29.95*
Rent the article at a discountRent now
* Final gross prices may vary according to local VAT.
TheKohlberg criterion, which characterizes the nucleolus of a game (over the set of all imputations) in terms of balanced collections, is here extended to the sets of payoff vectors for various coalition structures. It is shown that one generalization yields a necessary condition; another yields a sufficient condition. A necessary and sufficient condition — which is unfortunately somewhat difficult to verify — is also given.
- Farkas, J.: Über die Theorie der Einfachen Ungleichungen, J. Reine Angew. Math.124, 1901, 1–27.
- Kohlberg, E.: On the Nucleolus of a Characteristic Function Game. SIAM J. Appl. Math20, 1971, 62–66.
- Schmeidler, D.: The Nucleolus of a Characteristic Function Game. SIAM J. Appl. Math.17, 1969, 1163–1170.
- Shapley, L.S.: On Balanced Sets and Cores. Naval Res. Log. Quart.14, 1967, 453–460.
- A generalization of theKohlberg criterion
International Journal of Game Theory
Volume 6, Issue 4 , pp 249-255
- Cover Date
- Print ISSN
- Online ISSN
- Additional Links
- Industry Sectors
- Prof. G. Owen (1)
- Author Affiliations
- 1. Department of Mathematical Sciences, Rice University, 77001, Houston, Texas