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Interaction on hypergraphs

Jacques Durieu, Hans Haller and Philippe Solal

No 05-34, Papers from Sonderforschungsbreich 504

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.

Keywords: Network Games; Potential Games; Submodular Games; Supermodular Games (search for similar items in EconPapers)
JEL-codes: D85 C72 (search for similar items in EconPapers)
Date: 2005
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https://madoc.bib.uni-mannheim.de/2627/1/dp05_34.pdf

Related works:
Working Paper: Interaction on Hypergraphs (2005)
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Persistent link: https://EconPapers.repec.org/RePEc:mnh:spaper:2627

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