International Journal of Game Theory

, Volume 6, Issue 4, pp 249-255

First online:

A generalization of theKohlberg criterion

  • G. OwenAffiliated withDepartment of Mathematical Sciences, Rice University

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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.