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Optimal Risk-Sharing and Deductables in Insurance

  • Aase, Knut K.

    ()

    (Dept. of Finance and Management Science, Norwegian School of Economics and Business Administration)

Risk-sharing in insurance is analyzed, with a view towards explaining the prevalence of deductibles. First we introduce, in a modern setting, the main concepts of the theory of risk-sharing in a group of agents. This theory we apply to the risk-sharing problem between an insurer and an insurance customer. We motivate the development through simple examples, illustrating some of the subtle points of this theory. In order to deduce deductibles endogenously, not explained in the neoclassical model, we separately introduce (i) the insurable asset as a decision variable, (ii) administrative costs, and (iii) moral hazard, and illustrate by examples.

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File URL: http://hdl.handle.net/11250/163856
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Paper provided by Department of Business and Management Science, Norwegian School of Economics in its series Discussion Papers with number 2006/24.

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Length: 13 pages
Date of creation: 29 Dec 2006
Date of revision:
Handle: RePEc:hhs:nhhfms:2006_024
Contact details of provider: Postal:
NHH, Department of Business and Management Science, Helleveien 30, N-5045 Bergen, Norway

Phone: +47 55 95 92 93
Fax: +47 55 95 96 50
Web page: http://www.nhh.no/en/research-faculty/department-of-business-and-management-science.aspx
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  1. Raviv, Artur, 1979. "The Design of an Optimal Insurance Policy," American Economic Review, American Economic Association, vol. 69(1), pages 84-96, March.
  2. Mas-Colell, Andreu, 1986. "The Price Equilibrium Existence Problem in Topological Vector Lattice s," Econometrica, Econometric Society, vol. 54(5), pages 1039-53, September.
  3. Knut K. Aase, 1992. "Dynamic Equilibrium and the Structure of Premiums in a Reinsurance Market," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 17(2), pages 93-136, December.
  4. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  5. Baton, Bernard & Lemaire, Jean, 1981. "The Core of a Reinsurance Market," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 12(01), pages 57-71, June.
  6. Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
  7. Borch, Karl, 1960. "Reciprocal Reinsurance Treaties," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 1(04), pages 170-191, December.
  8. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-90, September.
  9. Aase, Knut K., 2007. "Wealth Effects on Demand for Insurance," Discussion Papers 2007/6, Department of Business and Management Science, Norwegian School of Economics.
  10. Gerber, Hans U., 1978. "Pareto-Optimal Risk Exchanges and Related Decision Problems," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 10(01), pages 25-33, May.
  11. Wyler, Erich, 1990. "Pareto Optimal Risk Exchanges and a System of Differential Equations: a Duality Theorem," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 20(01), pages 23-31, April.
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