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Mutual Insurance Networks in Communities

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  • Pascal Billand

    () (Université de Lyon, Lyon, F-69007, France ; CNRS, GATE Lyon St Etienne,F-69130 Ecully, France ; Université Jean Monnet, Saint-Etienne, F-42000, France.)

  • Christophe Bravard

    () (Université Grenoble 2 ; UMR 1215 GAEL, F-38000 Grenoble, France ; CNRS, GATE Lyon St Etienne, Saint-Etienne, F-42000, France)

  • Marie Sudipta Sarangi

    () (DIW Berlin and Louisiana State University)

Abstract

We study the formation of mutual insurance networks in a model where every agent who obtains more resources gives a fixed amount of resources to all agents who have obtained less resources. The low resource agent must be directly linked to the high resource agent to receive this transfer. We identify the pairwise stable networks and efficient networks. Then, we extend our model to situations where agents differ in their generosity with regard to the transfer scheme. We show that there exist conditions under which in a pairwise stable network agents who provide the same level of transfers are linked together, while there are no links between agents who provide high transfers and agents who provide low transfers.

Suggested Citation

  • Pascal Billand & Christophe Bravard & Marie Sudipta Sarangi, 2012. "Mutual Insurance Networks in Communities," Working Papers 1234, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
  • Handle: RePEc:gat:wpaper:1234
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    Keywords

    Mutual insurance networks; Pairwise stable networks; Efficient networks;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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