2011-05-01, English, Article, Journal or magazine article edition: Influence functions, followers and command games. Grabisch, Michel; Rusinowska, Agnieszka

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Physical Description
  • Magazine/​Journal article
Published
  • Elsevier B.V., 2011 May
Language
  • English

Edition details

Title
  • Influence functions, followers and command games.
Appears In
  • Games and Economic Behavior, v.72, no.1, 2011 May, p.123(16) (ISSN: 0899-8256)
Author
  • Grabisch, Michel
  • Rusinowska, Agnieszka
Published
  • Elsevier B.V., 2011 May
Physical Description
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • To link to full-text access for this article, visit this link: http:/​/​dx.doi.org/​10.1016/​j.geb.2010.06.003 Byline: Michel Grabisch, Agnieszka Rusinowska Keywords: Influence function; Follower function; Lower and upper inverses; Kernel; Command game; Command function; Minimal sets generating a command game Abstract: 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. Author Affiliation: Universite Paris I Pantheon-Sorbonne, Centre dE1/4Economie de la Sorbonne, 106-112 Bd de lE1/4HA[acute accent]pital, 75013 Paris, France Article History: Received 23 August 2008
Terms of Use
  • COPYRIGHT 2011 Elsevier B.V.
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 253634767

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