Influence functions, followers and command games - HAL Accéder directement au contenu
Article dans une revue Games and Economic Behavior Année : 2011

Influence functions, followers and command games

Résumé

We study and compare two frameworks: a model of influence, and command games. In the influence model, in which players are to make a certain acceptance/rejection decision, due to influence of other players, the decision of a player may be different from his inclination. We study a relation between two central concepts of this model: influence function, and follower function. We deliver sufficient and necessary conditions for a function to be a follower function, and we describe the structure of the set of all influence functions that lead to a given follower function. In the command structure introduced by Hu and Shapley, for each player a simple game called the command game is built. One of the central concepts of this model is the concept of command function. We deliver sufficient and necessary conditions for a function to be a command function, and describe the minimal sets generating a normal command game. We also study the relation between command games and influence functions. A sufficient and necessary condition for the equivalence between an influence function and a normal command game is delivered.
Fichier principal
Vignette du fichier
geb08-new2.pdf ( 256.35 Ko ) Télécharger
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

halshs-00583867, version 1 (06-04-2011)

Identifiants

Citer

Michel Grabisch, Agnieszka Rusinowska. Influence functions, followers and command games. Games and Economic Behavior, 2011, 72 (1), pp.123-138. ⟨10.1016/j.geb.2010.06.003⟩. ⟨halshs-00583867⟩
642 Consultations
282 Téléchargements
Dernière date de mise à jour le 06/04/2024
comment ces indicateurs sont-ils produits

Altmetric

Partager

Gmail Facebook Twitter LinkedIn Plus