Convex interval games
Alparslan-Gok,S.Z. Brânzei,R. Tijs,S.H.
Alparslan-Gok,S.Z.
Brânzei,R.
Tijs,S.H.
Abstract
Convex interval games are introduced and 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. The notion of population monotonic interval allocation scheme (pmias) in the interval setting is introduced and it is proved that each element of the Weber set of a convex interval game is extendable to such a pmias. A square operator is introduced which allows us to obtain interval solutions starting from the corresponding 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.
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Appeared earlier as CentER DP 2008-037 Pagination: 14
Date
2009
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Alparslan-Gok, S Z, Brânzei, R & Tijs, S H 2009, 'Convex interval games', Journal of Applied Mathematics and Decision Sciences, vol. 2009, pp. 14. https://doi.org/10.1155/2009/342089