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Please use this identifier to cite or link to this item: http://hdl.handle.net/10609/1981
Title: Characterization of Reward Functions in Networks with Costs
Autor: Ferreras Garcia, Raquel
Meseguer Artola, Antoni
Keywords: Cooperative games
Network
Reward function
Costs function
Issue Date: 7-Jun-2010
Type: Artículo
Abstract: In this paper we study network structures in which the possibilities for cooperation are restricted and can not be described by a cooperative game. The benefits of a group of players depend on how these players are internally connected. One way to represent this type of situations is the so-called reward function, which represents the profits obtainable by the total coalition if links can be used to coordinate agents' actions. The starting point of this paper is the work of Vilaseca et al. where they characterized the reward function. We concentrate on those situations where there exist costs for establishing communication links. Given a reward function and a costs function, our aim is to analyze under what conditions it is possible to associate a cooperative game to it. We characterize the reward function in networks structures with costs for establishing links by means of two conditions, component permanence and component additivity. Finally, an economic application is developed to illustrate the main theoretical result.
Language: eng
URI: http://hdl.handle.net/10609/1981
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