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Raising capital in an insurance oligopoly market

Author

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  • Julien Hardelin

    (Department of Economics, Ecole Polytechnique - Polytechnique - X - CNRS - Centre National de la Recherche Scientifique, AgroParisTech)

  • Sabine Lemoyne de Forges

    (Department of Economics, Ecole Polytechnique - Polytechnique - X - CNRS - Centre National de la Recherche Scientifique, AgroParisTech)

Abstract

We consider an oligopoly of firms that compete on price. Firms produce a non-stochastic output, insurance coverage, which is sold before the true cost is known. They behave as if they were risk-averse for a standard reason of costly external finance. The model consists in a two-stage game. At stage 1, each firm chooses its internal capital level. At stage 2, firms compete on price. We characterize the conditions for Nash equilibria and analyze the strategic impact of capital choice on the market. We discuss the model with regard to insurance industry specificity and regulation.

Suggested Citation

  • Julien Hardelin & Sabine Lemoyne de Forges, 2009. "Raising capital in an insurance oligopoly market," Working Papers hal-00417573, HAL.
  • Handle: RePEc:hal:wpaper:hal-00417573 Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00417573
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    References listed on IDEAS

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    1. Froot, Kenneth A., 2001. "The market for catastrophe risk: a clinical examination," Journal of Financial Economics, Elsevier, vol. 60(2-3), pages 529-571, May.
    2. Mattias K. Polborn, 1998. "A Model of an Oligopoly in an Insurance Market," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 23(1), pages 41-48, June.
    3. Kenneth A. Froot, 2007. "Risk Management, Capital Budgeting, and Capital Structure Policy for Insurers and Reinsurers," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 74(2), pages 273-299.
    4. Zanjani, George, 2002. "Pricing and capital allocation in catastrophe insurance," Journal of Financial Economics, Elsevier, vol. 65(2), pages 283-305, August.
    5. Mary A. Weiss & Joon-Hai Chung, 2004. "U.S. Reinsurance Prices, Financial Quality, and Global Capacity," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 71(3), pages 437-467.
    6. Brander, James A. & Lewis, Tracy R., 1986. "Oligopoly and Financial Structure: The Limited Liability Effect," American Economic Review, American Economic Association, vol. 76(5), pages 956-970, December.
    7. Wanzenried, Gabrielle, 2003. "Capital structure decisions and output market competition under demand uncertainty," International Journal of Industrial Organization, Elsevier, vol. 21(2), pages 171-200, February.
    8. Gollier, Christian, 2007. "The Determinants of the Insurance Demand by Firms," IDEI Working Papers 468, Institut d'Économie Industrielle (IDEI), Toulouse.
    9. Matutes, Carmen & Vives, Xavier, 2000. "Imperfect competition, risk taking, and regulation in banking," European Economic Review, Elsevier, vol. 44(1), pages 1-34, January.
    10. Ray Rees & Hugh Gravelle & Achim Wambach, 1999. "Regulation of Insurance Markets," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 24(1), pages 55-68, June.
    11. Wambach, Achim, 1999. "Bertrand competition under cost uncertainty," International Journal of Industrial Organization, Elsevier, vol. 17(7), pages 941-951, October.
    12. Asplund, Marcus, 2002. "Risk-averse firms in oligopoly," International Journal of Industrial Organization, Elsevier, vol. 20(7), pages 995-1012, September.
    13. Froot, Kenneth A. & O'Connell, Paul G.J., 2008. "On the pricing of intermediated risks: Theory and application to catastrophe reinsurance," Journal of Banking & Finance, Elsevier, vol. 32(1), pages 69-85, January.
    14. Froot, Kenneth A & Scharfstein, David S & Stein, Jeremy C, 1993. " Risk Management: Coordinating Corporate Investment and Financing Policies," Journal of Finance, American Finance Association, vol. 48(5), pages 1629-1658, December.
    15. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, January.
    16. John Duncan & Robert J. Myers, 2000. "Crop Insurance under Catastrophic Risk," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 82(4), pages 842-855.
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    Citations

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    Cited by:

    1. Dutang, Christophe & Albrecher, Hansjoerg & Loisel, Stéphane, 2013. "Competition among non-life insurers under solvency constraints: A game-theoretic approach," European Journal of Operational Research, Elsevier, vol. 231(3), pages 702-711.
    2. Sabine Lemoyne de Forges & Ruben Bibas & Stéphane Hallegatte, 2001. "A dynamic model of extreme risk coverage : Resilience and e fficiency in the global reinsurance market," CIRED Working Papers halshs-00800460, HAL.
    3. Radoslav S. Raykov, 2014. "Uncertain Costs and Vertical Differentiation in an Insurance Duopoly," Staff Working Papers 14-14, Bank of Canada.
    4. repec:hal:wpaper:hal-00746245 is not listed on IDEAS
    5. Jean-François Outreville, 2014. "The Meaning of Risk? Insights from The Geneva Risk and Insurance Review," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 39(4), pages 768-781, October.

    More about this item

    Keywords

    Capital Choice; Price Competition; Risk-averse Firms; Insurance Market; Capital Choice.;

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