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Article Dans Une Revue Journal of Mathematical Economics Année : 2022

Network formation and pairwise stability: A new oddness theorem

Résumé

We prove that for large classes of polynomial payoff functions, there exist generically an odd number of pairwise stable networks, as a consequence of the topological structure of the graph of pairwise stable weighted networks, which we characterize. This improves recent results in Bich and Morhaim (2020) or in Herings and Zhan (2022), and can be applied to many existing models, as for example to the public good provision model of Bramoullé and Kranton (2007), the information transmission model of Calvó-Armengol and İlkılıç (2009) or the two-way flow model of Bala and Goyal (2000).
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Dates et versions

hal-03969600 , version 1 (02-02-2023)

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Philippe Bich, Julien Fixary. Network formation and pairwise stability: A new oddness theorem. Journal of Mathematical Economics, 2022, 103, pp.102767. ⟨10.1016/j.jmateco.2022.102767⟩. ⟨hal-03969600⟩
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