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Nonlinear Reimbursement Rules for Preventive and Curative Medical Care

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  • Helmuth Cremer
  • Jean-Marie Lozachmeur

Abstract

We study the design of nonlinear reimbursement rules for expenses on secondary preventive and on therapeutic care. With some probability individuals are healthy and do not need any therapeutic health care. Otherwise they become ill and the severity of their disease is realized and identifies their ex post type. Preventive care is determined ex ante, that is before the health status is determined while curative care is chosen ex post. Insurance benefits depend on preventive and curative care in a possibly nonlinear way, and marginal benefits can be positive or negative. In the first best, achieved when health status is ex post publicly observable, insurance benefits are flat (lump sum payments) and do not depend on expenditures. When the severity of the disease is not observable, so that there is ex post moral hazard, this solution is not incentive compatible (for more healthy individuals). The optimal insurance then implies benefits that increase with both types of care. This is because health expenditures reduce informational rents and they are upward distorted. This relaxes the incentive constraint because less healthy individuals value care more than healthy individuals. Even though preventive care is chosen ex ante, when there is no asymmetry of information, it does have an impact on the incentive constraint and thus on informational rents. This is due to two concurring effects. First, prevention is more effective for the more severely ill. Second, these individuals also have a lower marginal utility of income so that a given level of expenditure on preventive care has less impact on their utility.

Suggested Citation

  • Helmuth Cremer & Jean-Marie Lozachmeur, 2024. "Nonlinear Reimbursement Rules for Preventive and Curative Medical Care," CESifo Working Paper Series 11186, CESifo.
  • Handle: RePEc:ces:ceswps:_11186
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    References listed on IDEAS

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    1. Cremer, Helmuth & Pestieau, Pierre, 2011. "Myopia, redistribution and pensions," European Economic Review, Elsevier, vol. 55(2), pages 165-175, February.
    2. Francesca Barigozzi & Renaud Bourlès & Dominique Henriet & Giuseppe Pignataro, 2017. "Pool size and the sustainability of optimal risk-sharing agreements," Theory and Decision, Springer, vol. 82(2), pages 273-303, February.
    3. Amy Finkelstein & Erzo F. P. Luttmer & Matthew J. Notowidigdo, 2013. "What Good Is Wealth Without Health? The Effect Of Health On The Marginal Utility Of Consumption," Journal of the European Economic Association, European Economic Association, vol. 11, pages 221-258, January.
    4. Cremer, Helmuth & Lozachmeur, Jean-Marie, 2022. "Coinsurance vs. co-payments: Reimbursement rules for a monopolistic medical product with competitive health insurers," Journal of Health Economics, Elsevier, vol. 84(C).
    5. Helmuth Cremer & Pierre Pestieau, 1996. "Redistributive taxation and social insurance," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 3(3), pages 281-295, July.
    6. Leroux, M.-L. & Pestieau, P. & Ponthiere, G., 2011. "Longevity, genes and efforts: An optimal taxation approach to prevention," Journal of Health Economics, Elsevier, vol. 30(1), pages 62-76, January.
    7. Helmuth Cremer & Philippe De Donder & Darío Maldonado & Pierre Pestieau, 2012. "Taxing Sin Goods and Subsidizing Health Care," Scandinavian Journal of Economics, Wiley Blackwell, vol. 114(1), pages 101-123, March.
    8. Hunt Allcott & Benjamin B Lockwood & Dmitry Taubinsky, 2019. "Regressive Sin Taxes, with an Application to the Optimal Soda Tax," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 134(3), pages 1557-1626.
    9. Cremer, Helmuth & Roeder, Kerstin, 2017. "Social insurance with competitive insurance markets and risk misperception," Journal of Public Economics, Elsevier, vol. 146(C), pages 138-147.
    10. Blomqvist, Ake, 1997. "Optimal non-linear health insurance," Journal of Health Economics, Elsevier, vol. 16(3), pages 303-321, June.
    11. Dionne, Georges & Eeckhoudt, Louis, 1985. "Self-insurance, self-protection and increased risk aversion," Economics Letters, Elsevier, vol. 17(1-2), pages 39-42.
    12. Emmanuel Farhi & Xavier Gabaix, 2020. "Optimal Taxation with Behavioral Agents," American Economic Review, American Economic Association, vol. 110(1), pages 298-336, January.
    13. Pierre Martinon & Pierre Picard & Anasuya Raj, 2018. "On the design of optimal health insurance contracts under ex post moral hazard," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 43(2), pages 137-185, September.
    14. Besley, Timothy J., 1988. "Optimal reimbursement health insurance and the theory of Ramsey taxation," Journal of Health Economics, Elsevier, vol. 7(4), pages 321-336, December.
    15. Ehrlich, Isaac & Becker, Gary S, 1972. "Market Insurance, Self-Insurance, and Self-Protection," Journal of Political Economy, University of Chicago Press, vol. 80(4), pages 623-648, July-Aug..
    16. Ellis, Randall P. & Manning, Willard G., 2007. "Optimal health insurance for prevention and treatment," Journal of Health Economics, Elsevier, vol. 26(6), pages 1128-1150, December.
    17. Jean-Charles Rochet, 1991. "Incentives, Redistribution and Social Insurance," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 16(2), pages 143-165, December.
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    More about this item

    Keywords

    ex post moral hazard; health insurance; secondary prevention;
    All these keywords.

    JEL classification:

    • I11 - Health, Education, and Welfare - - Health - - - Analysis of Health Care Markets
    • I13 - Health, Education, and Welfare - - Health - - - Health Insurance, Public and Private
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health

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