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: | Jimnez-Losada A, Chacn C, Lebrn E |
Keywords: | agent based system |
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.