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Risk Apportionment: The Dual Story

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

Abstract

By specifying 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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  • Louis R. Eeckhoudt & Roger J. A. Laeven & Harris Schlesinger, 2017. "Risk Apportionment: The Dual Story," Papers 1712.02182, arXiv.org.
    • Handle: RePEc:arx:papers:1712.02182
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    2. Ivan Paya & David A. Peel & Konstantinos Georgalos, 2023. "On the predictions of cumulative prospect theory for third and fourth order risk preferences," Theory and Decision, Springer, vol. 95(2), pages 337-359, August.
    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. Louis R. Eeckhoudt & Roger J. A. Laeven, 2021. "Probability Premium and Attitude Towards Probability," Papers 2105.00054, arXiv.org.
    5. Masako Ikefuji & Roger J. A. Laeven & Jan R. Magnus & Yuan Yue, 2022. "Earthquake Risk Embedded in Property Prices: Evidence From Five Japanese Cities," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 117(537), pages 82-93, January.
    6. 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.
    7. 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.
    8. Paan Jindapon & Liqun Liu & William S. Neilson, 2021. "Comparative risk apportionment," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 91-112, April.

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    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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