HedN Game, a Relational Framework for Network Based Cooperation

Franck Delaplace () and Pierre Lescanne ()
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Franck Delaplace: IBISC - Informatique, Biologie Intégrative et Systèmes Complexes - UEVE - Université d'Évry-Val-d'Essonne - CNRS - Centre National de la Recherche Scientifique
Pierre Lescanne: LIP - Laboratoire de l'Informatique du Parallélisme - ENS de Lyon - École normale supérieure de Lyon - Université de Lyon - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - Inria - Institut National de Recherche en Informatique et en Automatique - Université de Lyon - CNRS - Centre National de la Recherche Scientifique

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Abstract: This paper proposes a new framework for cooperative games based on mathematical relations. Here cooperation is defined as a supportive partnerships represented by a directed network between players (aka hedonic relation). We examine in a specific context, modeled by abstract games how a change of supports induces a modification of strategic interactions between players. Two levels of description are considered: the first one describes the support network formation whereas the second one models the strategic interactions between players. Both are described in a unified formalism, namely CP~game. Stability conditions are stated, emphasizing the connection between these two levels. We also stress the interaction between updates of supports and their impact on the evolution of the context.

Keywords: Stability; Network; Cooperative Game; Hedonic Relation (search for similar items in EconPapers)
Date: 2009-05-07
Note: View the original document on HAL open archive server: https://hal.science/hal-00382514v2
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