Article ID: | iaor20041106 |
Country: | Germany |
Volume: | 57 |
Issue: | 1 |
Start Page Number: | 49 |
End Page Number: | 65 |
Publication Date: | Jan 2003 |
Journal: | Mathematical Methods of Operations Research (Heidelberg) |
Authors: | Brink R. van den, Bilbao J.M., Algaba E., Jimnez-Losada A. |
Keywords: | matroids |
Cooperative games on antimatroids are cooperative games restricted by a combinatorial structure which generalize the permission structure. So, cooperative games on antimatroids group several well-known families of games which have important applications in economics and politics. Therefore, the study of the restricted games by antimatroids allows to unify criteria of various lines of research. The current paper establishes axioms that determine the restricted Shapley value on antimatroids by conditions on the cooperative game