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Convex multi-choice games: Characterizations and monotonic allocation schemes

R. Branzei, S. Tijs and José Zarzuelo ()

European Journal of Operational Research, 2009, vol. 198, issue 2, 571-575

Abstract: 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.

Keywords: Multi-choice; games; Convex; games; Marginal; games; Weber; set; Monotonic; allocation; schemes (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (14)

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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