Skip to main content

Optimal Insurance under Moral Hazard

  • Chapter
Handbook of Insurance

Abstract

This chapter surveys the theory of optimal insurance contracts under moral hazard, revisiting the topic in light of developments in contract theory over the past twenty-five years. Moral hazard leads to less than full insurance, so that the insured retains some incentive to reduce accident costs. What form does the partial insurance contract take: a deductible, co-insurance or a ceiling on coverage? Posed in the most general form, the problem is identical to the hidden-action principal-agent problem. The insurance context provides some structure that allows more specific predictions. Optimal insurance contracts vary, for example, depending on whether effort affects the probability of an accident or its severity. The chapter characterizes the optimal insurance contract and integrates developments in contract renegotiation, contract dynamics and other extensions.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Akerlof, G. (1970). “The Market for Lemons: Quality and the Market Mechanism,” Quarterly Journal of Economics, 89, 488–500.

    Article  Google Scholar 

  • Alchian, A. and Demsetz, H. (1972). “Production, information costs, and economic organization”, American Economic Review, LXII no. 5, 777–795.

    Google Scholar 

  • Arnott, R. (1992). “Moral Hazard and Competitive Insurance Markets”, in Dionne (1992).

    Google Scholar 

  • Arnott, R. and Stiglitz, J. (1983a). “Equilibrium in Competitive Insurance Markets: The Welfare Economics of Moral Hazard”, Working Paper, Queen’s University, January 1983.

    Google Scholar 

  • Arnott, R. and Stiglitz, J. (1983b). “The Basic Analytics of Moral Hazard: Ill-behaved Consumers with Well-behaved Utility Functions”, Working Paper, Queen’s University, November 1983.

    Google Scholar 

  • Arnott, R. and Stiglitz, J. (1988a). “The Basic Analytics of Moral Hazard”, Scandinavian Journal of Economics 90, 383–413.

    Article  Google Scholar 

  • Arnott, R. and Stiglitz, J. (1998b). “Randomization with Asymmetric Information”, Rand Journal of Economics, 19, 344–362.

    Article  Google Scholar 

  • Arrow, K. (1970). “Uncertainty and the Welfare Economics of Medical Care”, in K. Arrow, Essays in the Theory of Risk-Bearing, North-Holland.

    Google Scholar 

  • Arrow, K. (1985). “The Economics of Agency,” in Principals and Agents: The Structure of Business, ed. J. Pratt and R. Zeckhauser. Cambridge, MA: Harvard Business School Press.

    Google Scholar 

  • Becker, G. (1968). “Crime and Punishment”, Journal of Political Economy, March-April, 169–217.

    Google Scholar 

  • Becker, G. and Stigler, G. (1974). “Law Enforcement, malfeasance, and compensation of enforcers”, Journal of Legal Studies, 3, 1–18.

    Article  Google Scholar 

  • Boyer, M. and Dionne, G. (1983). “Variations in the Probability and Magnitude of Loss: Their impact on Risk.”, Canadian Journal of Economics, 16, 411–419.

    Article  Google Scholar 

  • Boyer, M. and Dionne, G. (1989). “More on Insurance, Protection and Risk”, Canadian Journal of Economics, 22, 202–204.

    Article  Google Scholar 

  • Brewer, E., Mondschean, T. and Stahan, P. (1997). “The Role of Monitoring in Reducing the Moral Hazard Problem Associated with Government Guarantees: Evidence from the Life Insurance Industry,” Journal of Risk and Insurance, vol. 64, no. 2 June, 301–322.

    Article  Google Scholar 

  • Carmichael, L. (1983). “The agent-agents problem: payment by relative output”, Journal of Labor Economics, 1, 60–65.

    Article  Google Scholar 

  • Chang, Y.-M. and Ehrlich, I. (1985). “More on Insurance, Protection and Risk”, Canadian Journal of Economics, 18, 574–587.

    Article  Google Scholar 

  • Dionne, G., ed. (1992). Contributions to Insurance Economics, Kluwer Academic Publishers.

    Google Scholar 

  • Dionne, G. and Lasserre, P. (1987). “Dealing with Moral Hazard and Adverse Selection Simultaneously”, Working Paper, Université de Montréal.

    Google Scholar 

  • Ehrlich, I. and Becker, G. (1972). “Market Insurance, Self-Insurance and Self-Protection”, Journal of Political Economy,623–648.

    Google Scholar 

  • Fudenberg, D. and Tirole, J. (1990). “Moral Hazard and Renegotiation in Agency Contracts,” Econometrica, vol. 58, no. 6 November, 1279–1319.

    Article  Google Scholar 

  • Gjesdal, E (1982). “Information and Incentives: The Agency Information Problem,” Review of Economic Studies 49, 373–390.

    Article  Google Scholar 

  • Grossman, S. and Hart, O. (1983). “An Analysis of the Principal-Agent Problem”, Econometrica, 51, no. 1 January, 7–45.

    Article  Google Scholar 

  • Grubel, H. (1993). “Government Deposit Insurance, Moral Hazard and the International Debt Crisis,” in Theory and measurement for economic policy, Vol. 3, Elgar.

    Google Scholar 

  • Harris, M. and Raviv, A. (1978). “Some Results on Incentive Contracts”, American Economic Review, 68, no. 1 March, 20–31.

    Google Scholar 

  • Helpman and Laffont, J.J. (1975). “On Moral Hazard in General Equilibrium”, Journal of Economic Theory, 10, 8–23.

    Article  Google Scholar 

  • Holmström, B. (1979). “Moral Hazard and Observability”, The Bell Journal of Economics,10, no. 1 Spring, 74–92.

    Article  Google Scholar 

  • Holmström, B. (1982). “Moral Hazard in Teams”, The Rand Journal of Economics, 13, 324–340.

    Google Scholar 

  • Holmström, B. and Milgrom, P. (1987). “Aggregation and Linearity in the Provision of Intertemporal Incentives,” Econometrica, 55, 303–329.

    Article  Google Scholar 

  • Holmström, B. and Milgrom, P. (1991). “Multitask Principal-Agent Analyses: Incentive Contracts, Asset Ownership and Job Design,” Journal of Law, Economics and Organization, 7, 24–52.

    Article  Google Scholar 

  • Hosios, A. and Peters, M. (1989). “Repeated Insurance Contracts with Adverse Selection and Limited Commitment”, Quarterly Journal of Economics, CIV, no. 2 May, 229–254.

    Article  Google Scholar 

  • Huberman, G., Mayers, D. and Smith, C. (1983). “Optimal Insurance Policy Indemnity Schedules”, Bell Journal of Economics, August, 415–426.

    Google Scholar 

  • Jewitt, I. (1988). “Justifying the First-Order Approach to Principal-Agent Problems”, Econometrica, 56, no. 5 September, 1177–1190.

    Article  Google Scholar 

  • Kotowitz, Y. (1987). “Moral Hazard”, in The New Palgrave Dictionary of Economics, 549–551.

    Google Scholar 

  • Lambert, R. (1983). “Long-term Contracts and Moral Hazard”, Bell Journal of Economics, August, 441–452.

    Google Scholar 

  • MacDonald, G.M. (1984). “New Directions in the Economic Theory of Agency”, Canadian Journal of Economics, XVII, no. 3 August, 415–440.

    Article  Google Scholar 

  • MasColell, A., Whinston, M. and Green, J. (1995). Microeconomic Theory, Oxford University Press.

    Google Scholar 

  • Milgrom, P. (1981). “Good news and bad news: Representation Theorems and Applications,” Bell Journal of Economics, 12, 380–391.

    Article  Google Scholar 

  • Mirrlees, J. (1975). “The Theory of Moral Hazard and Unobservable Behaviour. Part I”, Mimeo, Nuffield College, Oxford.

    Google Scholar 

  • Mookerjee, D. and Png, I. (1989). “Optimal Auditing, Insurance and Redistribution”, Quarterly Journal of Economics, CIV, May, no. 2, 399–416.

    Article  Google Scholar 

  • Pauly, M. (1968). “The Economics of Moral Hazard: Comment”, American Economic Review, 531–537.

    Google Scholar 

  • Pauly, M. (1974). “Overinsurance and Public Provision of Insurance: The Roles of Moral Hazard and Adverse Selection”, Quarterly Journal of Economics, 44–62.

    Google Scholar 

  • Polinsky, A.M. (1983). An Introduction to Law and Economics, Little, Brown, Boston.

    Google Scholar 

  • Polinsky, A.M. and Shavell, S. (1979). “The Optimal Tradeoff between the Probability and Magnitude of Fines”, American Economic Review, 69, 880.

    Google Scholar 

  • Radner, R. (1981). “Monitoring Cooperative Agreements in a Repeated Principal-Agent Relationship”, Econometrica, 49, 1127–1148.

    Article  Google Scholar 

  • Radner, R. and Stiglitz, J. (1984). “A Non-concavity in the Value of Information”, in Bayesian Models in Economic Theory, ed. by M. Boyer and R.E. Kihlstrom. North-Holland.

    Google Scholar 

  • Rogerson, WP. (1985). “Repeated Moral Hazard”, Econometrica, 53, no. 1 January, 69–76.

    Article  Google Scholar 

  • Rogerson, WP. (1985). “The First-Order Approach to Principal-Agent Problems”, Econometrica, 53, no. 6 November, 1357–1367.

    Article  Google Scholar 

  • Rothschild, M. and Stiglitz, J.E. (1976). “Equilibrium in Competitive Insurance Markets: An Essay in the Economics of Imperfect Information,” Quarterly Journal of Economics, 80, 629–649.

    Article  Google Scholar 

  • Rubinstein, A. and Yarri, M.E. (1983). “Repeated Insurance Contracts and Moral Hazard”, Journal of Economic Theory, 30, 74–97.

    Article  Google Scholar 

  • Sappington, D. (1983). “Limited Liability Contracts between Principal and Agent”, Journal of Economic Theory 29, 1–21.

    Article  Google Scholar 

  • Schlesinger, H. and Venezian, E. (1986). “Insurance Markets with Loss-Prevention Activity: Profits, Market Structure, and Consumer Welfare”, Rand Journal of Economics, 17, no. 2 Summer, 227–238.

    Article  Google Scholar 

  • Shavell, S. (1979a). “Risk-Sharing and Incentives in the Principal and Agent Relationship”, The Bell Journal of Economics, 10, no. 1 Spring, 55–73.

    Article  Google Scholar 

  • Shavell, S. (1979b). “On Moral Hazard and Insurance”, Quarterly Journal of Economics, November, 541–562.

    Google Scholar 

  • Singh, N. (1985). “Monitoring and Hierarchies: The Marginal Value of Information in a Principal-Agent Model”, Journal of Political Economy, vol. 93, no. 3 June, 599–610.

    Article  Google Scholar 

  • Spence, M. and Zeckhauser, R. (1971). “Insurance, Information and Individual Action”, American Economic Review, 380–387.

    Google Scholar 

  • Stewart, J. (1994). “The Welfare Implications of Moral Hazard and Adverse Selection in Competitive Insurance Markets,” Economic Inquiry, 32, no. 2 April, 193–208.

    Article  Google Scholar 

  • Stiglitz, J. (1983). “Risk, Incentives and Insurance: The Pure Theory of Moral Hazard”, The Geneva Papers on Risk and Insurance, 8, no. 26 January, 4–33.

    Google Scholar 

  • Winter, R. (1992). “Moral Hazard and Insurance Contracts”, in Dionne (1992).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Science+Business Media New York

About this chapter

Cite this chapter

Winter, R.A. (2000). Optimal Insurance under Moral Hazard. In: Dionne, G. (eds) Handbook of Insurance. Huebner International Series on Risk, Insurance, and Economic Security, vol 22. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0642-2_6

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0642-2_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7911-9

  • Online ISBN: 978-94-010-0642-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics