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

  • Francesca Barigozzi


    (UNIBO - Università di Bologna - Università degli studi di Bologna)

  • Renaud Bourlès


    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - Université de la Méditerranée - Aix-Marseille II - Université Paul Cézanne - Aix-Marseille III - Ecole des Hautes Etudes en Sciences Sociales (EHESS) - CNRS : UMR6579)

  • Dominique Henriet


    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - Université de la Méditerranée - Aix-Marseille II - Université Paul Cézanne - Aix-Marseille III - Ecole des Hautes Etudes en Sciences Sociales (EHESS) - CNRS : UMR6579)

  • Giuseppe Pignataro


    (Department of Economics - University of Bologna)

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.

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Paper provided by HAL in its series Working Papers with number halshs-00605267.

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Date of creation: 01 Jul 2011
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Handle: RePEc:hal:wpaper:halshs-00605267
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  1. Mayers, David & Smith, Clifford Jr., 1986. "Ownership structure and control : The mutualization of stock life insurance companies," Journal of Financial Economics, Elsevier, vol. 16(1), pages 73-98, May.
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  12. Smith, Bruce D & Stutzer, Michael, 1995. "A Theory of Mutual Formation and Moral Hazard with Evidence from the History of the Insurance Industry," Review of Financial Studies, Society for Financial Studies, vol. 8(2), pages 545-77.
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