On the reduced game property and its converse

On the reduced game property and its converse

Journal	International Journal of Game Theory
Publisher	Physica Verlag, An Imprint of Springer-Verlag GmbH
ISSN	0020-7276 (Print) 1432-1270 (Online)
Issue	Volume 15, Number 3 / September, 1986
DOI	10.1007/BF01769258
Pages	187-200

B. Peleg¹

(1)	Institute of Mathematics, The Hebrew University, 91904 Jerusalem, Israel

Received: 15 November 1984 Revised: 15 August 1985

Abstract We investigate the relationship between two solutions, the core and the prekernel, and reduced games of coalitional games. An axiomatic characterization of these two solutions is obtained by means of the reduced game property and its converse.

This research was partially supported by The Institute for Advanced Studies, The Hebrew University, 91904 Jerusalem, Israel, during 1979–1980.