1-Convex Transferable Utility Games A Reappraisal

Pierre Dehez

Center for Operations Research and Econometrics (CORE), University of Louvain, 34 Voie du Roman Pays, 1348 Louvain-la-Neuve, Belgium

Abstract:

1-convex games have been introduced by Theo Driessen in his 1985 PhD dissertation. They form an interesting class of games for at least one reason: the core of a 1-convex n-player game is a regular simplex of dimension n – 1 or a single point. As a consequence, its nucleolus is the center of gravity of the core. We recall and extend the results obtained by Driessen and provide examples and applications.

Keywords: transferable utility games, core, nucleolus, Shapley value.

Pages: 97 – 118 | Full PDF Paper