Structure and oddness theorems for pairwise stable networks

Philippe Bich () and Julien Fixary ()
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Philippe Bich: Centre d'Economie de la Sorbonne, Paris School of Economics, https://bichgame.wordpress.com/
Julien Fixary: Centre d'Economie de la Sorbonne, Université Paris 1 Panthéon-Sorbonne, https://centredeconomiesorbonne.cnrs.fr

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

Abstract: We determine the topological structure of the graph of pairwise stable weighted networks. As an application, we obtain that for large classes of polynomial payoff functions, there exists generically and odd number of pairwise stable networks. This improves the results in Bich and Morhaim ([5] or in Herings and Zhan ([14]), and can be applied to many existing models, as for example to the public good provision model of Bramoullé and Kranton ([8]), the information transmission model of Calvó-Armengol ([9]), the two-way flow model of Bala and Goyal ([2]), or Zenou-Ballester's key-player model ([3])

Keywords: Weighted Networks; Pairwise Stable Networks Correspondence; Generic Oddness (search for similar items in EconPapers)
JEL-codes: C72 D85 (search for similar items in EconPapers)
Pages: 31 pages
Date: 2021-06
New Economics Papers: this item is included in nep-gth and nep-isf
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Citations: View citations in EconPapers (3)

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http://mse.univ-paris1.fr/pub/mse/CES2021/21016.pdf (application/pdf)
https://halshs.archives-ouvertes.fr/halshs-03287524

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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:21016

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