Linear values for interior operator games |
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Authors: | A. Jimé nez-Losada,C. Chacó nE. Lebró n |
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Affiliation: | Dep. Matemática Aplicada II, Universidad de Sevilla, Camino de los Descubrimientos, 41092 Sevilla, Spain |
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Abstract: | Interior operator games were introduced by Bilbao et al. (2005) as additive games restricted by antimatroids. In that paper several interesting cooperative games were shown as examples of interior operator games. The antimatroid is a known combinatorial structure which represents, in the game theory context, a dependence system among the players. The aim of this paper is to study a family of values which are linear functions and satisfy reasonable conditions for interior operator games. Two classes of these values are considered assuming particular properties. |
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Keywords: | Cooperative games Antimatroids Core Shapley value |
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