1-convex transferable utility games, a reappraisal

Dehez, Pierre
(2024) Journal of Mathematics and Statistical Science — Vol. 10, n° 7, p. 97-118 (2024)

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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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Dehez, P. (2024). 1-convex transferable utility games, a reappraisal. Journal of Mathematics and Statistical Science, 10(7), 97-118. https://hdl.handle.net/2078.5/217820 (Original work published 2024)