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On the existence of Pairwise stable weighted networks

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  • Philippe Bich

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Lisa Morhaim

    (CRED - Centre de Recherche en Economie et Droit - UP2 - Université Panthéon-Assas)

Abstract

We provide the existence of pairwise stable weighted networks under assumptions similar to Nash theorem. In particular, contrarily to the case of unweighted networks, the existence of closed improving cycles does not prevent the existence of Pairwise stable weighted networks. Then, we extend our existence result, allowing payoffs to depend on some game-theoretic strategies. Many applications are given.

Suggested Citation

  • Philippe Bich & Lisa Morhaim, 2017. "On the existence of Pairwise stable weighted networks," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01564591, HAL.
    • Handle: RePEc:hal:cesptp:halshs-01564591
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01564591
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    References listed on IDEAS

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    Cited by:

    1. Bich, Philippe & Fixary, Julien, 2022. "Network formation and pairwise stability: A new oddness theorem," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    2. Philippe Bich & Julien Fixary, 2021. "Structure and oddness theorems for pairwise stable networks," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03287524, HAL.
    3. Philippe Bich & Julien Fixary, 2021. "Structure and oddness theorems for pairwise stable networks," Post-Print halshs-03287524, HAL.

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    Keywords

    Pairwise Stable Network; Weighted Network;

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