Convex multi-choice games: Characterizations and monotonic allocation schemes

This paper focuses on new characterizations of convex multi-choice games using the notions of exactness and superadditivity. Furthermore, level-increase monotonic allocation schemes (limas) on the class of convex multi-choice games are introduced and studied. It turns out that each element of the Weber set of such a game is extendable to a limas, and the (total) Shapley value for multi-choice games generates a limas for each convex multi-choice game.

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Year of publication:	2009
Authors:	Branzei, R. ; Tijs, S. ; Zarzuelo, J.
Published in:	European Journal of Operational Research. - Elsevier, ISSN 0377-2217. - Vol. 198.2009, 2, p. 571-575
Publisher:	Elsevier
Keywords:	Multi-choice games Convex games Marginal games Weber set Monotonic allocation schemes

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10004973568