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Convex Interval Games

Alparslan-Gok, S.Z., R. Branzei and S.H. Tijs
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S.H. Tijs: Tilburg University, Center for Economic Research

No 2008-37, Discussion Paper from Tilburg University, Center for Economic Research

Abstract: In this paper, convex interval games are introduced and some characterizations are given. Some economic situations leading to convex interval games are discussed. The Weber set and the Shapley value are defined for a suitable class of interval games and their relations with the interval core for convex interval games are established. A square operator is introduced which allows us to obtain interval solutions starting from classical cooperative game theory solutions. It turns out that on the class of convex interval games the square Weber set coincides with the interval core.

JEL-codes: C71 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-gth
Date: Written 2008
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Handle: RePEc:dgr:kubcen:200837