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Nonexclusivity, Linear Pricing, and Annuity Market Screening

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  • Casey Rothschild

Abstract

type="main" xml:lang="en"> I develop a graphical approach for studying two-type adverse-selection insurance markets with (1) compulsory contracting, (2) linear pricing, (3) nonexclusive contracting, and (4) multiple indemnity states. The UK compulsory annuity market is a natural application. Despite fully linear pricing and nonexclusivity, screening of different types into distinct contracts—using the pattern of insurance payments across distinct indemnity states rather than quantity restrictions—is possible. Efficient screening involves distorting both types’ contracts away from first best contracts, for example, via front-loaded annuities. These distortions are attributable to convexification constraints that I identify as the nonexclusive, linear-pricing analog of canonical incentive compatibility constraints.

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  • Casey Rothschild, 2015. "Nonexclusivity, Linear Pricing, and Annuity Market Screening," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 82(1), pages 1-32, March.
    • Handle: RePEc:bla:jrinsu:v:82:y:2015:i:1:p:1-32
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    Cited by:

    1. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2021. "Competitive Nonlinear Pricing under Adverse Selection," TSE Working Papers 21-1201, Toulouse School of Economics (TSE), revised Aug 2022.
    2. Martin Boyer & Franca Glenzer, 2016. "Pensions, annuities, and long-term care insurance: On the impact of risk screening," Cahiers de recherche 1603, Chaire de recherche Industrielle Alliance sur les enjeux économiques des changements démographiques.
    3. Jakša Cvitanić & Julien Hugonnier, 2022. "Optimal fund menus," Mathematical Finance, Wiley Blackwell, vol. 32(2), pages 455-516, April.
    4. Nathalie Fombaron & Georges Dionne & Wanda Mimra, 2023. "Adverse Sélection in Insurance," Post-Print hal-04416340, HAL.
    5. Rothschild, Casey, 2019. "Screening with convex menus and optimal flow taxation," Journal of Public Economics, Elsevier, vol. 178(C).
    6. M. Martin Boyer & Franca Glenzer, 2021. "Pensions, annuities, and long-term care insurance: on the impact of risk screening," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 46(2), pages 133-174, September.
    7. Casey Rothschild & Paul D. Thistle, 2022. "Supply, demand, and selection in insurance markets: Theory and applications in pictures," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 25(4), pages 419-444, December.

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