Linear values for interior operator games

Linear values for interior operator games

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Article ID: iaor20122430
Volume: 220
Issue: 1
Start Page Number: 182
End Page Number: 186
Publication Date: Jul 2012
Journal: European Journal of Operational Research
Authors: , ,
Keywords: agent based system
Abstract:

Interior operator games were introduced by 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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