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Price Equilibrium, Efficiency, and Decentralizability in Insurance Markets with Moral Hazard

Author

Listed:
  • Arnott, R.
  • Stiglitz, J.

Abstract

In this paper we investigate the descriptive and normative properties of competitive equilibrium with moral hazard when forms offer "price contracts" which allow clients to purchase as much insurance as they wish to at the quoted price. We show that a price equilibrium always exists and is one of three types i.) Zero-profit price equilibrium- zero profit, zero effort, and full insurance ii.) Positive- profit price equilibrium- positive profit, positive effort, partial insurance iii) zero- insurance price equilibrium- zero insurance, zero profit, positive effort. Suppose a client purchases an additional unit of insurance from an insurer and consequently reduces accident- avoidance effort. This will lower the profitability of insurance the client has obtained form other insurers. In setting price, the insurer neglects this effect, however. Thus, price insurance entails an externality. We show under what circumstances this externality can be fully internalized by a linear tax on insurance sales. Actual insurance contracts lie in the middle ground between exclusive quantity contracts (where an individual is effectively constrained to purchase all his insurance from one firm) and price contracts. We argue that our analysis of price contracts sheds light on the welfare properties of actual insurance contracts. Notably, since the externality we identify will still be operative, the taxation of insurance sales is typically desirable.
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Suggested Citation

  • Arnott, R. & Stiglitz, J., 1994. "Price Equilibrium, Efficiency, and Decentralizability in Insurance Markets with Moral Hazard," Papers 05, Laval - Laboratoire Econometrie.
  • Handle: RePEc:fth:lavale:05
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    Cited by:

    1. Green, Daniel & Liu, Ernest, 2021. "A dynamic theory of multiple borrowing," Journal of Financial Economics, Elsevier, vol. 139(2), pages 389-404.
    2. Attar, Andrea & Chassagnon, Arnold, 2009. "On moral hazard and nonexclusive contracts," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 511-525, September.
    3. Alberto Bennardo & Pierre-Andre Chiappori, 2003. "Bertrand and Walras Equilibria under Moral Hazard," Journal of Political Economy, University of Chicago Press, vol. 111(4), pages 785-817, August.
    4. Andrea Attar & Thomas Mariotti & François Salanié, 2011. "Nonexclusive Competition in the Market for Lemons," Econometrica, Econometric Society, vol. 79(6), pages 1869-1918, November.
    5. Andrea Attar & Thomas Mariotti & François Salanié, 2022. "Regulating Insurance Markets: Multiple Contracting And Adverse Selection," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(3), pages 981-1020, August.
    6. Luigi Iovino, 2012. "Sophisticated Intermediation and Aggregate Volatility," 2012 Meeting Papers 965, Society for Economic Dynamics.
    7. Attar Andrea & Campioni Eloisa & Piaser Gwenael, 2006. "Multiple Lending and Constrained Efficiency in the Credit Market," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-35, October.
    8. Alberto Bisin & Danilo Guaitoli, 2004. "Moral Hazard and Nonexclusive Contracts," RAND Journal of Economics, The RAND Corporation, vol. 35(2), pages 306-328, Summer.
    9. Richard Arnott & Chong-en Bai & Brian Sack, 1996. "Latent Policies: An Extended Example," Boston College Working Papers in Economics 353., Boston College Department of Economics.
    10. Tano Santos & Jose A. Scheinkman, 2001. "Competition among Exchanges," The Quarterly Journal of Economics, Oxford University Press, vol. 116(3), pages 1027-1061.
    11. Acharya, Viral & Bisin, Alberto, 2014. "Counterparty risk externality: Centralized versus over-the-counter markets," Journal of Economic Theory, Elsevier, vol. 149(C), pages 153-182.
    12. , & , & ,, 2014. "Nonexclusive competition under adverse selection," Theoretical Economics, Econometric Society, vol. 9(1), January.
    13. Bloise, Gaetano & Reichlin, Pietro, 2005. "Risk and intermediation in a dual financial market economy," Research in Economics, Elsevier, vol. 59(3), pages 257-279, September.
    14. Tano Santos & Jose A. Scheinkman, 2001. "Financial Intermediation without Exclusivity," American Economic Review, American Economic Association, vol. 91(2), pages 436-439, May.
    15. Chiappori, Pierre-Andre & Durand, Franck & Geoffard, Pierre-Yves, 1998. "Moral hazard and the demand for physician services: First lessons from a French natural experiment," European Economic Review, Elsevier, vol. 42(3-5), pages 499-511, May.
    16. repec:dau:papers:123456789/4717 is not listed on IDEAS
    17. Chassagnon, A. & Chiappori, P.A., 1994. "Insurance Under Moral Hazard and Adverse Selection: The Case of Pure Competition," Papers 28, Laval - Laboratoire Econometrie.

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    Keywords

    econometrics ; insurance;

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