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Risk apportionment: The dual story

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  • Eeckhoudt, Louis R.
  • Laeven, Roger J.A.
  • Schlesinger, Harris

Abstract

By specifying new model free preferences towards simple nested classes of lottery pairs, we develop the dual story to stand on equal footing with that of (primal) risk apportionment. The dual story provides an intuitive interpretation, and full characterization, of dual counterparts of such concepts as prudence and temperance. The direction of preference between these nested classes of lottery pairs is equivalent to signing the successive derivatives of the probability weighting function within Yaari's (1987) dual theory. We explore implications of our results for optimal portfolio choice and show that the sign of the third derivative of the probability weighting function may be naturally linked to a self-protection problem.

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  • Eeckhoudt, Louis R. & Laeven, Roger J.A. & Schlesinger, Harris, 2020. "Risk apportionment: The dual story," Journal of Economic Theory, Elsevier, vol. 185(C).
    • Handle: RePEc:eee:jetheo:v:185:y:2020:i:c:s0022053119301218
    DOI: 10.1016/j.jet.2019.104971
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    3. Takehito Masuda & Eungik Lee, 2019. "Higher order risk attitudes and prevention under different timings of loss," Experimental Economics, Springer;Economic Science Association, vol. 22(1), pages 197-215, March.
    4. van Bruggen, Paul & Laeven, Roger J. A. & van de Kuilen, Gijs, 2024. "Higher-Order Risk Attitudes for Non-Expected Utility," Discussion Paper 2024-019, Tilburg University, Center for Economic Research.
    5. Louis R. Eeckhoudt & Roger J. A. Laeven, 2021. "Probability Premium and Attitude Towards Probability," Papers 2105.00054, arXiv.org.
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    8. Sebastian Ebert, 2021. "Prudent Discounting: Experimental Evidence On Higher Order Time Risk Preferences," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(4), pages 1489-1511, November.
    9. Anwesha Banerjee & Stefano Barbieri & Kai A. Konrad, 2022. "Climate Policy, Irreversibilities and Global Economic Shocks," Working Papers tax-mpg-rps-2022-11, Max Planck Institute for Tax Law and Public Finance.

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    More about this item

    Keywords

    Higher order risk attitudes; Prudence; Temperance; Risk apportionment; Non-expected utility theory; Portfolio choice;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

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