Between the Prekernel and the Prenucleolus
23 Pages Posted: 22 May 2010
Date Written: April 30, 2010
A collection of TU games solutions intermediate between the prekernel and the prenucleolus is considered. Each solution from the collection is parametrized by a positive integer k > 1 and is called the k-prekernel for properties extending those verifying by the prekernel such that the 2-prekernel coincides with the prekernel. If the number of players in a game is less than k, then the k-prekernel of this game coincides with the prenucleolus. All k-prekernels are efficient, covariant, consistent in the sense of Davis-Maschler, and satisfy equal treatment property. K-analogs of balancedness of collections of coalitions and of consistency properties are defined, and with the
help of such properties an axiomatic characterization of the collection of the k-prekernels is given for the class of TU games with an infinite universe set of players.
Keywords: TU-Game, Prekernel, Prenucleolus, Consistency
JEL Classification: C71
Suggested Citation: Suggested Citation