Effectivity functions and efficient coalitions in Boolean games.

Boolean games are a logical setting for representing strategic games in a succinct way, taking advantage of the expressive power and conciseness of propositional logic. A Boolean game consists of a set of players, each of which controls a set of propositional variables and has a specific goal expres...

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Detalles Bibliográficos
Publicado en:Synthese Vol. 187; pp. 73 - 104
Autores principales: Bonzon, Elise, Lagasquie-Schiex, Marie-Christine, Lang, Jérôme
Formato: Artículo
Publicado: Springer Nature Aug2012 Supplement
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Acceso en línea:Ver este registro en EBSCOhost
Descripción
Sumario:Boolean games are a logical setting for representing strategic games in a succinct way, taking advantage of the expressive power and conciseness of propositional logic. A Boolean game consists of a set of players, each of which controls a set of propositional variables and has a specific goal expressed by a propositional formula. We show here that Boolean games are a very simple setting, yet sophisticated enough, for analysing the formation of coalitions. Due to the fact that players have dichotomous preferences, the following notion emerges naturally: a coalition in a Boolean game is efficient if it has the power to guarantee that all goals of the members of the coalition are satisfied. We study the properties of efficient coalitions.