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Optimal Insurance without Expected Utility: The Dual Theory and the Linearity of Insurance Contracts

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Author Info
Doherty, Neil A
Eeckhoudt, Louis

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Abstract

Models of the insurance markets and institutions are routinely based on expected utility. Since EU is being challenged by an increasing number of decision models, we examine whether EU-based models are robust in their predictions. To do so, we rework some basic models of optimal insurance contracts and equilibrium using the "dual" theory to EU of Yaari. When there is a single, insurable source of risk, dual theory permits only corner solutions if the contract itself is linear. This contrasts sharply with EU. Nonlinearity, and thereby the possibility of interior solutions, is introduced in two ways. First, the contract itself is nonlinear, i.e., a deductible insurance policy. Or second, the decision maker is subject to some background risk such as uninsurable risky assets or default of the insurer. When decision problems are subject to nonlinearity, the predictions on optimal insurance are more similar to, though not identical with, those generated with EU. Copyright 1995 by Kluwer Academic Publishers

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Publisher Info
Article provided by Springer in its journal Journal of Risk and Uncertainty.

Volume (Year): 10 (1995)
Issue (Month): 2 (March)
Pages: 157-79
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Handle: RePEc:kap:jrisku:v:10:y:1995:i:2:p:157-79

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  1. DE FEO, Giuseppe & HINDRIKS, Jean, 2005. "Efficiency of competition in insurance markets with adverse selection," CORE Discussion Papers 2005054, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
    Other versions:
  2. Ulrich Schmidt & Horst Zank, 2007. "Linear cumulative prospect theory with applications to portfolio selection and insurance demand," Decisions in Economics and Finance, Springer, vol. 30(1), pages 1-18, 05. [Downloadable!] (restricted)
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  3. Stanislaw Heilpern, 2002. "Using Choquet integral in economics," Statistical Papers, Springer, vol. 43(1), pages 53-73, January. [Downloadable!] (restricted)
  4. Jean-Max Koskievic, 1999. "Négociations et espérance d'utilité dépendante du rang," Annales d'Economie et de Statistique, ADRES, issue 54, pages 10, Avril-Jui. [Downloadable!]
  5. HINDRIKS, Jean & DE DONDER, Philippe, 2001. "The politics of redistributive social insurance," CORE Discussion Papers 2001054, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
    Other versions:
  6. Arnold Chassagnon & Bertrand Villeneuve, 2002. "Efficient risk-sharing under adverse selection and subjective risk perception," DELTA Working Papers 2002-19, DELTA (Ecole normale supérieure). [Downloadable!]
  7. Blanchard, michel & Blanchard, frederic, 2007. "Optimism, Pessimism, and the Gains from Trade," MPRA Paper 6342, University Library of Munich, Germany. [Downloadable!]
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