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Risk-sharing with self-insurance: the role of cooperation

Author

Listed:
  • Francesca Barigozzi

    (UNIBO - Alma Mater Studiorum Università di Bologna [Bologna])

  • Renaud Bourlès

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Dominique Henriet

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Giuseppe Pignataro

    (Department of Economics - UNIBO - Alma Mater Studiorum Università di Bologna [Bologna])

Abstract

We analyze mutual insurance arrangements (policies based on risk-sharing among a pool of policyholders) when consumers choose a self-insurance effort, that is an effort decreasing the size of any loss occurring. We consider both cooperative and non-cooperative strategies in the effort choice. Cooperation among policyholders leads to the full internalization of the positive impact the effort exerts on the premium. We show that, for an infinite size of pool, with cooperation first-best efficiency is achieved. Moreover, cooperation is sustained as an equilibrium in a repeated interaction game for a sufficiently low size of pool. An interesting implication of our results is that a cooperative mutual policy can dominate a stock insurance contract. Simulations show that mutual insurance with cooperation as an equilibrium dominates a second-best stock-type insurance policy even when pool size is low.

Suggested Citation

  • Francesca Barigozzi & Renaud Bourlès & Dominique Henriet & Giuseppe Pignataro, 2011. "Risk-sharing with self-insurance: the role of cooperation," Working Papers halshs-00605267, HAL.
  • Handle: RePEc:hal:wpaper:halshs-00605267
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00605267
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    References listed on IDEAS

    as
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    Cited by:

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    More about this item

    Keywords

    Mutual arrangement; self-insurance; positive externality on the insurance premium; cooperation;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • I11 - Health, Education, and Welfare - - Health - - - Analysis of Health Care Markets
    • I13 - Health, Education, and Welfare - - Health - - - Health Insurance, Public and Private

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