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Incomplete Markets for Insurance: An Overview

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Book cover Foundations of Insurance Economics

Abstract

An area of much recent theoretical attention is the modeling of insurance decisions when markets are incomplete. Such incompleteness is said to exist when insurance contracts do not exist for all risks facing an individual or a firm. In such a market, insurance decisions cannot be made myopically and must recognize the presence of uninsurable background risk. This paper presents a nontechnical overview of the incomplete-market theory. The way in which market incompleteness may invalidate some long-standing theoretical results — and may indeed even cause seemingly perverse results — is examined. Possible causes of incomplete markets as well as some implications of the theory for reinsurance and for corporate purchases of insurance are also discussed.

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References

  1. Anderson, D.R., “The National Flood Insurance Program — Problems and Potentials,” Journal of Risk and Insurance, 41 (1974), 579–599.

    Article  Google Scholar 

  2. Arrow, K.J., “Uncertainty and the Welfare Economics of Medical Care,” American Economic Review. 53 (1963), 941–969.

    Google Scholar 

  3. Arrow, K.J., Aspects of the Theory of Risk Bearing, Helsinki: Yrjo Johnssonin Saatio (1965).

    Google Scholar 

  4. Borch, K., “Indifference Curves and Uncertainty.” Swedish Journal of Economics, 70, 19–24.

    Google Scholar 

  5. Borch, K., “Static Equilibrium Under Uncertainty and Incomplete Markets,” The Geneva Papers on Risk and Insurance, 8 (1983), 307–315.

    Google Scholar 

  6. Buhlmann, M. and W.S. Jewell, “Optimal Risk Exchanges,” Astin Bulletin, 10(1979),242–262.

    Google Scholar 

  7. Buser, S.A. and M.L. Smith, “Life Insurance in a Portfolio Context,” Insurance: Mathematics and Economics, 2 (1983), 147–157.

    Article  Google Scholar 

  8. Buser, S.A. and M.L. Smith, “Optimal Insurance in a Portfolio Context,” unpublished manuscript, Ohio State University (1984).

    Google Scholar 

  9. Cook, P.J. and D.A. Graham, “The Demand for Insurance and Protection: The Case of Irreplaceable Commodities,” Quarterly Journal of Economics,91(1977),143–156.

    Google Scholar 

  10. Cummins, J.D. and S. Harrington, “Property-Liability Insurance Rate Regulation: Estimation of Underwriting Betas Using Quarterly Profit Data,” Journal of Risk and Insurance (forthcoming).

    Google Scholar 

  11. Cummins, J.D. and L.J. Wiltbank, “Estimating the Total Claims Distribution Using Multivariate Frequency and Severity Distributions,” Journal of Risk and Insurance, 50 (1983), 377–403.

    Article  Google Scholar 

  12. Doherty, N.A., “Stochastic Ordering of Risk/Insurance Exchanges,” Scandinavian Actuarial Journal (1980),203–208.

    Google Scholar 

  13. Doherty, N.A. “Efficient Insurance Buying Strategies for Portfolios of Risky Assets,” Journal of Risk and Insurance, 51(1984),205–224.

    Google Scholar 

  14. Doherty, N.A. and H. Schlesinger, “The Optimal Deductible for Insurance Policy When Initial Wealth is Random,” Journal of Business, 56 (1983a), 555–565.

    Article  Google Scholar 

  15. Doherty, N.A. and H. Schlesinger, “Optimal Insurance in Incomplete Markets,” Journal of Political Economy, 91 (1983b), 1045–1054.

    Article  Google Scholar 

  16. Doherty, N.A. and H. Schlesinger, “Risk Premiums with Multiple Sources of Risk,” unpublished manuscript, Vanderbilt University (1983c).

    Google Scholar 

  17. Doherty, N.A. and S. Tinic, “A Note on Reinsurance Under Conditions of Capital Market Equilibrium,” Journal of Finance,48(1981), 949953.

    Google Scholar 

  18. Feldstein, M.S., “Mean Variance Analysis in the Theory of Liquidity Preference and Portfolio Selection,” Review of Economics Studies, 36 (1969), 5–12.

    Article  Google Scholar 

  19. Friedman, M. and L.J. Savage, “The Utility Analysis of Choices Involving Risk,” Journal of Political Economy, 56 (1948), 279–304.

    Article  Google Scholar 

  20. Hershey, J.C. and P.J.H. Shoemaker, “Risk Taking and Problem Context in the Domain of Losses: An Expected Utility Analysis,”Journal of Risk and Insurance, 47 (1980), 111–132.

    Article  Google Scholar 

  21. Hirschliefer, J. and J.G. Riley, “The Analytics of Uncertainty and Information–An Expository Survey,” Journal of Economic Literature, 17 (1979), 1375–1421.

    Google Scholar 

  22. Illinois Department of Insurance, “Dread Disease Insurance,” Study and Report, September 1980.

    Google Scholar 

  23. Kahane, Y. and Y. Kroll, “Optimal Insurance Coverage in Situations of Pure and Speculative Risks and the Risk-Free Asset, ”unpublished manuscript, Tel-Aviv University (1983).

    Google Scholar 

  24. Kahneman, D. and A. Tversky, “Prospect Theory: An Analysis of Decision Under Risk,” Econometrica, 47 (1979), 263–291.

    Article  Google Scholar 

  25. Knight, F.H., Risk, Uncertainty and Profit, Hart, Schraffner and Marks (1921).

    Google Scholar 

  26. Kihlstrom, R.E., D. Romer and S. Williams, “Risk Aversion With Random Initial Wealth,” Econometrica, 49 (1981), 911–920.

    Article  Google Scholar 

  27. Kunreuther, H.C., R. Ginsberg, L. Miller, P. Sagi, P. Slovic, B. Bostein and N. Katz, Disaster Insurance Protection: Public Policy Lessons, New York: Wiley (1978).

    Google Scholar 

  28. Main, B.G.M., “Corporate Insurance Purchases and Taxes, ”Journal of Risk and Insurance, 50 (1983), 197–223.

    Google Scholar 

  29. MacMinn, R.D. and R.C. Witt, “A Financial Theory of the Insurer Under Uncertainty,” unpublished manuscript, University of Texas at Austin (1984).

    Google Scholar 

  30. Markowitz, H., “The Utility of Wealth,” Journal of Political Economy,l 60 (1952), 151–158.

    Article  Google Scholar 

  31. Mayers, D. and C.W. Smith, “On the Corporate Demand for Insurance,” Journal of Business, 55 (1982), 281–296.

    Article  Google Scholar 

  32. Mayers, D. and C.W. Smith, Jr., “The Interdependence of Individual Portfolio Decisions and the Demand for Insurance, ”Journal of Political Economy, 91 (1983), 304–311.

    Article  Google Scholar 

  33. Mossin, J., “Aspects of Rational Insurance Purchasing,” Journal of Political Economy, 76 (1968), 553–568.

    Article  Google Scholar 

  34. Nachman, D., “Preservation of `More Risk Averse’ Under Expectations,” Journal of Economic Theory, 28 (1982), 361–368.

    Article  Google Scholar 

  35. Pashigian, B.P., L. Schkade and G.H. Menefee, “The Selection of an Optimal Deductible for a Given Insurance Policy, ”Journal of Business, 39 (1966), 35–44.

    Article  Google Scholar 

  36. Pratt, J.W. “Risk Aversion in the Small and in the Large, ” Econometrica, 32 (1964), 122–136.

    Article  Google Scholar 

  37. Pratt, J.W. “Aversion to One Risk in the Presence of Others,” unpublished manuscript, Harvard University (1982).

    Google Scholar 

  38. Raviv, A., “The Design of an Optimal Insurance Policy,” American Ecnomic Review, 69 (1979), 223–239.

    Google Scholar 

  39. Ross, S., “Some Stronger Measures of Risk Aversion in the Small and Large With Applications,” Econometrica, 49 (1981), 621–638.

    Article  Google Scholar 

  40. Rothschild, M. and J. Stiglitz, “Equalibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information,” Quarterly Journal of Economics, 90 (1976), 629–650.

    Article  Google Scholar 

  41. Schlesinger, H., “The Optimal Level of Deductibility in Insurance Contracts,” Journal of Risk and Insurance, 48 (1981), 465–481.

    Article  Google Scholar 

  42. Shoemaker, P.J.H., “The Expected Utility Model: Its Variants, Purposes, Evidence and Limitations,” Journal of Economic Literature, 20 (1982), 529–563.

    Google Scholar 

  43. Shoemaker, P.J.H. and H.C. Kunreuther, “An Experimental Study in Insurance Decisions,” Journal of Risk and Insurance,46(1979), 603618.

    Google Scholar 

  44. Schulenburg, J.-M. Graf v.d., “Deregulation of Statutory Health Insurance: The Effects of Increased Cost-Sharing Arrangements,” unpublished manuscript, Wissenschaftszentrum Berlin (1984).

    Google Scholar 

  45. Slovic, P., B. Fischhoff, S. Lichenstein, B. Corrigan and B. Combs, “Preference for Insurance Against Probable Small Losses: Insurance Implications,” Journal of Risk and Insurance, 44 (1977), 237–258.

    Article  Google Scholar 

  46. Smith, V., “Optimal Insurance Coverage, ”Journal of Political Economy, 68 (1968), 68–77.

    Google Scholar 

  47. Turnbull, S.M., “Additional Aspects of Rational Insurance Purchasing,” Journal of Business, 56 (1983), 217–229.

    Article  Google Scholar 

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© 1992 Springer Science+Business Media New York

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Schlesinger, H., Doherty, N.A. (1992). Incomplete Markets for Insurance: An Overview. In: Dionne, G., Harrington, S.E. (eds) Foundations of Insurance Economics. Huebner International Series on Risk, Insurance and Economic Security, vol 14. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7957-5_6

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  • DOI: https://doi.org/10.1007/978-94-015-7957-5_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5789-1

  • Online ISBN: 978-94-015-7957-5

  • eBook Packages: Springer Book Archive

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