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The Basic Analytics of Moral Hazard

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Author Info
Richard J. Arnott
Joseph E. Stiglitz

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Abstract

This paper develops the basic analytics of moral hazard, for the two-outcome case where either a fixed damage accident occurs or it does not. The analysis focuses on the relationship between the insurance premium paid and the insurance benefits received in the event of an accident, and is conducted in benefit-premium space. The central message of the paper is that even when the underlying functions, the expected utility function and the function relating the accident probability to accident-prevention effort, are extremely well-behaved, the indifference curves and feasibility set (the set of insurance contracts which at least break even) are not-indifference curves need not be convex and feasibility sets never are; price-and income- consumption lines may be discontinuous; and effort is not in general a monotonic or continuous function of the parameters of the insurance policies provided. Part I of this paper establishes these results, while Part II discusses sane of their implications. The bad behavior of indifference curves and the feasibility set profoundly affects the nature and existence of a competitive equilibrium. We illustrate this, though we do not provide a thorough analysis. We also show that our canonical model of an insurance market with moral hazard can be reinterpreted to provide a model of loans with bankruptcy, or of work incentives.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 2484.

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Date of creation: Feb 1990
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Handle: RePEc:nbr:nberwo:2484

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Stiglitz, Joseph E & Weiss, Andrew, 1981. "Credit Rationing in Markets with Imperfect Information," American Economic Review, American Economic Association, vol. 71(3), pages 393-410, June. [Downloadable!] (restricted)
  2. Richard Arnott & Joseph Stiglitz, 1991. "Equilibrium in Competitive Insurance Markets with Moral Hazard," NBER Working Papers 3588, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Richard J. Arnott & Joseph E. Stiglitz, 1988. "Dysfunctional Non-Market Institutions and the Market," NBER Working Papers 2666, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  2. Alberto Bennardo & Pierre-Andre Chiappori, 2003. "Bertrand and Walras Equilibria Under Moral Hazard," Levine's Working Paper Archive 618897000000000748, David K. Levine. [Downloadable!]
    Other versions:
  3. Alan Krueger, 1988. "Moral Hazard in Workers' Compensation," Working Papers 619, Princeton University, Department of Economics, Industrial Relations Section.. [Downloadable!]
  4. Giacomo Pasini & Giovanni Millo, 2006. "Does Social Capital reduce moral hazard? A network model for non-life insurance demand," Working Papers 2006_59, University of Venice "Ca' Foscari", Department of Economics. [Downloadable!]
  5. Amy Finkelstein & Kathleen McGarry, 2006. "Multiple Dimensions of Private Information: Evidence from the Long-Term Care Insurance Market," American Economic Review, American Economic Association, vol. 96(4), pages 938-958, September. [Downloadable!]
  6. Bems, Rudolfs & Jönsson, Kristian, 2002. "Financial Crisis in Emerging Markets and the Optimal Bailout Policy," Working Paper Series in Economics and Finance 520, Stockholm School of Economics, revised 31 Oct 2003. [Downloadable!]
  7. Alger, Ingela & Weibull, Jörgen, 2007. "Family ties, incentives and development: a model of coerced altruism," Working Paper Series in Economics and Finance 681, Stockholm School of Economics. [Downloadable!]
    Other versions:
  8. Hans H. Glismann & Klaus Schrader, 2001. "Optionen einer effizienten Gestaltung der Arbeitslosenversicherung," Kiel Working Papers 1052, Kiel Institute for the World Economy. [Downloadable!]
  9. Bernard Fortin & Paul Lanoie, 1998. "Effects of Workers' Compensation: A Survey," CIRANO Working Papers 98s-04, CIRANO. [Downloadable!]
    Other versions:
  10. Alger, Ingela & Weibull, Jörgen, 2007. "The Fetters of the Sib: Weber Meets Darwin," Working Paper Series in Economics and Finance 682, Stockholm School of Economics. [Downloadable!]
    Other versions:
  11. Louis Kaplow, 1993. "Government Relief for Risk Associated with Government Action," NBER Working Papers 3006, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  12. Smith, Vincent H. & Chouinard, Hayley H. & Baquet, Alan E., 1994. "Almost Ideal Area Yield Crop Insurance Contracts," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 23(1), April. [Downloadable!]
  13. 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. [Downloadable!]
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