1-convex transferable utility games, a reappraisal

Dehez, Pierre
(2021) , 22 pages

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  • Dehez, PierreUCLouvain
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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.
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Citations

Dehez, P. (2021). 1-convex transferable utility games, a reappraisal (LIDAM Discussion Paper CORE 2021/16). https://hdl.handle.net/2078.5/109945