Interaction on hypergraphs


Durieu, Jacques ; Haller, Hans ; Solal, Philippe


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URL: http://ub-madoc.bib.uni-mannheim.de/2627
URN: urn:nbn:de:bsz:180-madoc-26275
Document Type: Working paper
Year of publication: 2005
Publication language: English
Institution: School of Law and Economics > Sonstige - Fakultät für Rechtswissenschaft und Volkswirtschaftslehre
MADOC publication series: Sonderforschungsbereich 504 > Rationalitätskonzepte, Entscheidungsverhalten und ökonomische Modellierung (Laufzeit 1997 - 2008)
Subject: 300 Social sciences, sociology, anthropology
Classification: JEL: D85 C72 ,
Subject headings (SWD): Nichtkooperatives Spiel , Interaktion , Soziales Netzwerk , Theorie
Keywords (English): Network Games , Potential Games , Submodular Games , Supermodular Games
Abstract: Interaction on hypergraphs generalizes interaction on graphs, also known as pairwise local interaction. For games played on a hypergraph which are supermodular potential games, logit-perturbed best-response dynamics are studied. We find that the associated stochastically stable states form a sublattice of the lattice of Nash equilibria and derive comparative statics results for the smallest and the largest stochastically stable state. In the special case of networking games, we obtain comparative statics results with respect to investment costs, for Nash equilibria of supermodular games as well as for Nash equilibria of submodular games.
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Durieu, Jacques ; Haller, Hans ; Solal, Philippe (2005) Interaction on hypergraphs. Open Access [Working paper]
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