1. HedN Game, a Relational Framework for Network Based Cooperation
- Author
-
Delaplace, Franck, Lescanne, Pierre, Informatique, Biologie Intégrative et Systèmes Complexes (IBISC), Université d'Évry-Val-d'Essonne (UEVE)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de l'Informatique du Parallélisme (LIP), École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université d'Évry-Val-d'Essonne (UEVE), Centre National de la Recherche Scientifique (CNRS)-Université de Lyon-Institut National de Recherche en Informatique et en Automatique (Inria)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-École normale supérieure - Lyon (ENS Lyon), Delaplace, Franck, and École normale supérieure - Lyon (ENS Lyon)-Université Claude Bernard Lyon 1 (UCBL)
- Subjects
Hedonic Relation ,[SDV.BIBS] Life Sciences [q-bio]/Quantitative Methods [q-bio.QM] ,[INFO.INFO-GT]Computer Science [cs]/Computer Science and Game Theory [cs.GT] ,ComputingMilieux_PERSONALCOMPUTING ,Network ,[QFIN.ST]Quantitative Finance [q-fin]/Statistical Finance [q-fin.ST] ,[SDV.BIBS]Life Sciences [q-bio]/Quantitative Methods [q-bio.QM] ,[QFIN.ST] Quantitative Finance [q-fin]/Statistical Finance [q-fin.ST] ,Cooperative Game ,[INFO.INFO-GT] Computer Science [cs]/Computer Science and Game Theory [cs.GT] ,[INFO.INFO-BI]Computer Science [cs]/Bioinformatics [q-bio.QM] ,Cooperative Game,Network,Stability,Hedonic Relation ,Stability ,[INFO.INFO-BI] Computer Science [cs]/Bioinformatics [q-bio.QM] - 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.
- Published
- 2009