Measuring influence among players with an ordered set of possible actions

Abstract : In the paper, we introduce and study generalized weighted influence indices of a coalition on a player, where players have an ordered set of possible actions. Each player has an inclination to choose one of the actions. Due to influence of a coalition of other players, a final decision of the player may be different from his original inclination. An influence in such situations is measured by the general weighted influence index. In a particular case, the decision of the player may be closer to the inclination of the influencing coalition than his inclination was. The weighted influence index which captures such a case is called the positive weighted influence index. We also consider the negative weighted influence index, where a final decision of the player goes farther away from the inclination of the influencing coalition. Some special cases of the weighted influence indices, called a possibility influence index and an equidistributed influence index, are also defined. We consider different influence functions and study their properties. A set of followers and a set of a conditional followers of a given coalition are defined, and their properties are analyzed. We define the concepts of success, decisiveness, luck, and failure for the multi-choice model of influence.
Type de document :
Autre publication
Working Paper GATE 2008-01. 2008
Liste complète des métadonnées

Littérature citée [8 références]  Voir  Masquer  Télécharger

https://halshs.archives-ouvertes.fr/halshs-00260863
Contributeur : Nelly Wirth <>
Soumis le : mercredi 5 mars 2008 - 14:54:57
Dernière modification le : mercredi 31 octobre 2018 - 12:24:06
Document(s) archivé(s) le : vendredi 25 novembre 2016 - 22:18:30

Fichier

0801.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : halshs-00260863, version 1

Collections

Citation

Michel Grabisch, Agnieszka Rusinowska. Measuring influence among players with an ordered set of possible actions. Working Paper GATE 2008-01. 2008. 〈halshs-00260863〉

Partager

Métriques

Consultations de la notice

191

Téléchargements de fichiers

97