LIP6 2003/001:
Rapport de Recherche LIP6 /
LIP6
research reports
32 pages - Mai/May 2003 -
Document en anglais.
Get it : 292 Ko /Kb
Contact : par mail / e-mail
Thème/Team: Systèmes d'Aide à la Décision et à la Formation
Titre français : La valeur de Shapley et les indices d'intéraction pour les jeux bi-coopératifs
Titre anglais : The Shapley value and the interaction indices for bi-cooperative games
Abstract : The concept of bi-cooperative game has been introduced by Bilbao as a generalization of classical cooperative games. We study the definition of power indices (Shapley value), and interaction indices for this new concept. We extend the original axioms of Shapley for the bi-cooperative case, however it is still necessary to introduce additional axioms, so as to take into account the two parts of a bi-cooperative game. As for classical games, we use a recursive axiom for defining interaction indices. In a natural way comes up the notion of bi-interaction, describing the interaction effect between the two parts of a bi-cooperative game.
Key-words : cooperative game, Shapley value, interaction
Publications internes LIP6 2003 / LIP6 research reports 2003