Influence functions, followers and command games
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.
Year of publication: |
2008
|
---|---|
Authors: | Grabisch, Michel ; Rusinowska, Agnieszka |
Institutions: | HAL |
Saved in:
freely available
Saved in favorites
Similar items by person
-
Social networks: Prestige, centrality, and influence (Invited paper)
Rusinowska, Agnieszka, (2011)
-
A model of influence based on aggregation functions
Grabisch, Michel, (2011)
-
A model of influence with a continuum of actions
Grabisch, Michel, (2011)
- More ...