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The Theory of Insurance Demand

Chapter

Abstract

This chapter presents the basic theoretical model of insurance demand in a one-period expected-utility setting. Models of coinsurance and of deductible insurance are examined along with their comparative statics with respect to changes in wealth, prices and attitudes towards risk. The single risk model is then extended to account for multiple risks such as insolvency risk and background risk. It is shown how only a subset of the basic results of the single-risk model is robust enough to extend to models with multiple risks.

Keywords

Risk Aversion Stochastic Dominance Default Risk Background Risk Final Wealth 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Aboudi R, Thon D (1995) Second-degree stochastic dominance decisions and random initial wealth with applications to the economics of insurance. J Risk Insur 62:30–49CrossRefGoogle Scholar
  2. Briys E, Dionne G, Eeckhoudt L (1989) More on insurance as a Giffen good. J Risk Uncertain 2:415–420CrossRefGoogle Scholar
  3. Dana RA, Scarsini M (2007) Optimal risk sharing with background risk. J Econ Theory 133:152–176CrossRefGoogle Scholar
  4. Doherty N, Schlesinger H (1983a) Optimal insurance in incomplete markets. J Polit Econ 91:1045–1054CrossRefGoogle Scholar
  5. Doherty N, Schlesinger H (1983b) The optimal deductible for an insurance policy when initial wealth is random. J Bus 56:555–565CrossRefGoogle Scholar
  6. Doherty N, Schlesinger H (1990) Rational insurance purchasing: consideration of contract nonperformance. Quart J Econ 105:143–153Google Scholar
  7. Eeckhoudt L, Gollier C (2014) The effects of changes in risk on risk taking: a survey. (In this book)Google Scholar
  8. Eeckhoudt L, Kimball M (1992) Background risk, prudence, and the demand for insurance. In: Dionne G (ed) Contributions to insurance economics. Kluwer, BostonGoogle Scholar
  9. Eeckhoudt L, Schlesinger H (2006) Putting risk in its proper place. Am Econ Rev 96:280–289CrossRefGoogle Scholar
  10. Eeckhoudt L, Outreville JF, Lauwers M, Calcoen F (1988) The impact of a probationary period on the demand for insurance. J Risk Insur 55:217–228CrossRefGoogle Scholar
  11. Eeckhoudt L, Gollier C, Schlesinger H (1996) Changes in background risk and risk taking behavior. Econometrica 64:683–689CrossRefGoogle Scholar
  12. Eeckhoudt L, Gollier C, Schlesinger H (1997) The no loss offset provision and the attitude towards risk of a risk-neutral firm. J Public Econ 65:207–217CrossRefGoogle Scholar
  13. Fei W, Schlesinger H (2008) Precautionary insurance demand with state-dependent background risk. J Risk Insur 75:1–16CrossRefGoogle Scholar
  14. Frees EW, Valdez E (1998) Understanding relationships using copulas. North Am Actuar J 2:1–25CrossRefGoogle Scholar
  15. Gollier C (1995) The comparative statics of changes in risk revisited. J Econ Theory 66:522–536CrossRefGoogle Scholar
  16. Gollier C (2013) Optimal insurance (Handbook of Insurance)Google Scholar
  17. Gollier C, Pratt JW (1996) Risk vulnerability and the tempering effect of background risk. Econometrica 5:1109–1123CrossRefGoogle Scholar
  18. Gollier C, Schlesinger H (1996) Arrow’s theorem on the optimality of deductibles: a stochastic dominance approach. Econ Theory 7:359–363Google Scholar
  19. Gollier C, Schlesinger H (2003) Preserving preference orderings of uncertain prospects under background risk. Econ Lett 80:337–341CrossRefGoogle Scholar
  20. Hong KH, Lew KO, MacMinn R, Brockett P (2011) Mossin’s theorem given random initial wealth. J Risk Insur 78:309–324CrossRefGoogle Scholar
  21. Keenan DC, Rudow DC, Snow A (2008) Risk preferences and changes in background risk. J Risk Uncertain 36:139–152CrossRefGoogle Scholar
  22. Kimball M (1993) Standard risk aversion. Econometrica 61:589–611CrossRefGoogle Scholar
  23. Mahul O, Wright BD (2007) Optimal coverage for incompletely reliable insurance. Econ Lett 95:456–461CrossRefGoogle Scholar
  24. Mayers D, Smith CW Jr (1983) The interdependence of individual portfolio decisions and the demand for insurance. J Polit Econ 91:304–311Google Scholar
  25. Meyer J, Ormiston MB (1999) Analyzing the demand for deductible insurance. J Risk Uncert 31:243–262CrossRefGoogle Scholar
  26. Mossin J (1968) Aspects of rational insurance purchasing. J Polit Econ 79:553–568CrossRefGoogle Scholar
  27. Pratt J (1964) Risk aversion in the small and in the large. Econometrica 32:122–136CrossRefGoogle Scholar
  28. Ross S (1981) Some stronger measures of risk aversion in the small and in the large with applications. Econometrica 3:621–638CrossRefGoogle Scholar
  29. Rothschild M, Stiglitz J (1976) Equilibrium in competitive insurance markets: an essay on the economics of imperfect information. Quart J Econ 90:629–650CrossRefGoogle Scholar
  30. Schlesinger H (1997) Insurance demand without the expected-utility paradigm. J Risk Insur 64: 19–39CrossRefGoogle Scholar
  31. Schlesinger H (2006) Mossin’s theorem for upper limit insurance policies. J Risk Insur 73:297–301CrossRefGoogle Scholar
  32. Segal U, Spivak A (1990) First order versus second order risk aversion. J Econ Theory 51:111–125CrossRefGoogle Scholar
  33. Smith V (1968) Optimal insurance coverage. J Polit Econ 68:68–77CrossRefGoogle Scholar
  34. Tibiletti L (1995) Beneficial changes in random variables via copulas: an application to insurance. Geneva Papers Risk Insurance Theory 20:191–202CrossRefGoogle Scholar

Copyright information

© Springer Science + Business media, New York 2013

Authors and Affiliations

  1. 1.University of AlabamaTuscaloosaUSA

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