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

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Bookmark: http://trove.nla.gov.au/version/200165
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Influence functions, followers and command games.
Author
  • Michel Grabisch
  • Agnieszka Rusinowska
Physical Description
  • preprint
Notes
  • RePEc:hal:journl:halshs-00355632_v1
  • RePEc:hal:cesptp:halshs-00344823_v1
  • RePEc:hal:journl:halshs-00344823_v1
  • New Zealand, influence function, follower function, lower and upper inverses, kernel, com- mand game, command function, minimal sets generating a command game
  • RePEc:gat:wpaper:0831
  • RePEc:hal:cesptp:halshs-00355632_v1
  • 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.
  • RePEc:mse:cesdoc:b08080
Language
  • English
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