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Incentive and Selection Effects of Medigap Insurance on Inpatient Care

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  • Valentino Dardanoni

    (Dipartimento SEAF, Università di Palermo)

  • Paolo Li Donni

    (Dipartimento SEAF, Università di Palermo)

Abstract

The Medicare program, which provides insurance coverage to the elderly in the United States, does not protect them fully against high out-of-pocket costs. For this reason private supplementary insurance, named Medigap, has been available to cover Medicare gaps. This paper studies how Medigap affects the utilization of inpatient care, separating the incentive and selection effects of supplementary insurance. For this purpose, we use two alternative estimation methods: a standard recursive bivariate probit and a discrete multivariate finite mixture model. We find that estimated incentive effects are modest and quite similar across models. On the other hand, there seems to be very significant selection when one conditions only on variables used by Medigap insurers, with the presence of both adversely and advantageously selected individuals, stemming from the multidimensional nature of residual heterogeneity.

Suggested Citation

  • Valentino Dardanoni & Paolo Li Donni, 2012. "Incentive and Selection Effects of Medigap Insurance on Inpatient Care," EIEF Working Papers Series 1203, Einaudi Institute for Economics and Finance (EIEF), revised Feb 2012.
  • Handle: RePEc:eie:wpaper:1203
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    1. Martin Schellhorn, 2001. "The effect of variable health insurance deductibles on the demand for physician visits," Health Economics, John Wiley & Sons, Ltd., vol. 10(5), pages 441-456, July.
    2. Stephen V. Cameron & James J. Heckman, 1998. "Life Cycle Schooling and Dynamic Selection Bias: Models and Evidence for Five Cohorts of American Males," Journal of Political Economy, University of Chicago Press, vol. 106(2), pages 262-333, April.
    3. Pierre‐André Chiappori & Bruno Jullien & Bernard Salanié & François Salanié, 2006. "Asymmetric information in insurance: general testable implications," RAND Journal of Economics, RAND Corporation, vol. 37(4), pages 783-798, December.
    4. Heckman, James & Singer, Burton, 1984. "A Method for Minimizing the Impact of Distributional Assumptions in Econometric Models for Duration Data," Econometrica, Econometric Society, vol. 52(2), pages 271-320, March.
    5. Chiappori, Pierre-Andre & Durand, Franck & Geoffard, Pierre-Yves, 1998. "Moral hazard and the demand for physician services: First lessons from a French natural experiment," European Economic Review, Elsevier, vol. 42(3-5), pages 499-511, May.
    6. Liran Einav & Amy Finkelstein & Jonathan Levin, 2010. "Beyond Testing: Empirical Models of Insurance Markets," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 311-336, September.
    7. de Jong, Robert M. & Woutersen, Tiemen, 2011. "Dynamic Time Series Binary Choice," Econometric Theory, Cambridge University Press, vol. 27(4), pages 673-702, August.
    8. Thomas C. Buchmueller & Agnès Couffinhal & Michel Grignon & Marc Perronnin, 2004. "Access to physician services: does supplemental insurance matter? Evidence from France," Health Economics, John Wiley & Sons, Ltd., vol. 13(7), pages 669-687, July.
    9. Liran Einav & Amy Finkelstein & Stephen P. Ryan & Paul Schrimpf & Mark R. Cullen, 2013. "Selection on Moral Hazard in Health Insurance," American Economic Review, American Economic Association, vol. 103(1), pages 178-219, February.
    10. Propper, Carol, 1993. "Constrained choice sets in the U.K. demand for private medical insurance," Journal of Public Economics, Elsevier, vol. 51(3), pages 287-307, July.
    11. repec:dau:papers:123456789/5370 is not listed on IDEAS
    12. repec:adr:anecst:y:2003:i:69:p:06 is not listed on IDEAS
    13. Pau Olivella & Marcos Vera-Hernández, 2006. "Testing for Asymmetric Information in Private Health Insurance," Working Papers 246, Barcelona School of Economics.
    14. David M. Cutler & Amy Finkelstein & Kathleen McGarry, 2008. "Preference Heterogeneity and Insurance Markets: Explaining a Puzzle of Insurance," American Economic Review, American Economic Association, vol. 98(2), pages 157-162, May.
    15. Liran Einav & Amy Finkelstein & Mark R. Cullen, 2010. "Estimating Welfare in Insurance Markets Using Variation in Prices," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(3), pages 877-921.
    16. de Meza, David & Webb, David C, 2001. "Advantageous Selection in Insurance Markets," RAND Journal of Economics, The RAND Corporation, vol. 32(2), pages 249-262, Summer.
    17. Crocker, Keith J & Snow, Arthur, 1986. "The Efficiency Effects of Categorical Discrimination in the Insurance Industry," Journal of Political Economy, University of Chicago Press, vol. 94(2), pages 321-344, April.
    18. Guan-Hua Huang & Karen Bandeen-Roche, 2004. "Building an identifiable latent class model with covariate effects on underlying and measured variables," Psychometrika, Springer;The Psychometric Society, vol. 69(1), pages 5-32, March.
    19. Amy Finkelstein & James Poterba, 2014. "Testing for Asymmetric Information Using “Unused Observables” in Insurance Markets: Evidence from the U.K. Annuity Market," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 81(4), pages 709-734, December.
    20. Hanming Fang & Michael P. Keane & Dan Silverman, 2008. "Sources of Advantageous Selection: Evidence from the Medigap Insurance Market," Journal of Political Economy, University of Chicago Press, vol. 116(2), pages 303-350, April.
    21. Deb, Partha & Trivedi, Pravin K., 2002. "The structure of demand for health care: latent class versus two-part models," Journal of Health Economics, Elsevier, vol. 21(4), pages 601-625, July.
    22. Holly, Alberto & Gardiol, Lucien & Domenighetti, Gianfranco & Brigitte Bisig, 1998. "An econometric model of health care utilization and health insurance in Switzerland," European Economic Review, Elsevier, vol. 42(3-5), pages 513-522, May.
    23. Chiara Monfardini & Rosalba Radice, 2008. "Testing Exogeneity in the Bivariate Probit Model: A Monte Carlo Study," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 70(2), pages 271-282, April.
    24. Smart, Michael, 2000. "Competitive Insurance Markets with Two Unobservables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 153-169, February.
    25. Hurd, Michael D. & McGarry, Kathleen, 1997. "Medical insurance and the use of health care services by the elderly," Journal of Health Economics, Elsevier, vol. 16(2), pages 129-154, April.
    26. Eichner, Matthew J, 1998. "The Demand for Medical Care: What People Pay Does Matter," American Economic Review, American Economic Association, vol. 88(2), pages 117-121, May.
    27. Liran Einav & Amy Finkelstein, 2011. "Selection in Insurance Markets: Theory and Empirics in Pictures," Journal of Economic Perspectives, American Economic Association, vol. 25(1), pages 115-138, Winter.
    28. Jaap H. Abbring & James J. Heckman & Pierre-André Chiappori & Jean Pinquet, 2003. "Adverse Selection and Moral Hazard In Insurance: Can Dynamic Data Help to Distinguish?," Journal of the European Economic Association, MIT Press, vol. 1(2-3), pages 512-521, 04/05.
    29. Pierre-Andre Chiappori & Bernard Salanie, 2000. "Testing for Asymmetric Information in Insurance Markets," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 56-78, February.
    30. Jaap H. Abbring & Pierre-André Chiappori & Jean Pinquet, 2003. "Moral Hazard and Dynamic Insurance Data," Journal of the European Economic Association, MIT Press, vol. 1(4), pages 767-820, June.
    31. Casey Rothschild, 2011. "The Efficiency of Categorical Discrimination in Insurance Markets," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 78(2), pages 267-285, June.
    32. Jaap H. Abbring & Pierre-André Chiappori & Jean Pinquet, 2003. "Moral Hazard and Dynamic Insurance Data," Journal of the European Economic Association, MIT Press, vol. 1(4), pages 767-820, June.
    33. Cameron, A. Colin & Trivedi, Pravin K., 1991. "The role of income and health risk in the choice of health insurance : Evidence from Australia," Journal of Public Economics, Elsevier, vol. 45(1), pages 1-28, June.
    34. Alma Cohen & Peter Siegelman, 2010. "Testing for Adverse Selection in Insurance Markets," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(1), pages 39-84, March.
    35. David Hemenway, 1990. "Propitious Selection," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(4), pages 1063-1069.
    36. Deb, Partha & Trivedi, Pravin K, 1997. "Demand for Medical Care by the Elderly: A Finite Mixture Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 313-336, May-June.
    37. Cardon, James H & Hendel, Igal, 2001. "Asymmetric Information in Health Insurance: Evidence from the National Medical Expenditure Survey," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 408-427, Autumn.
    38. Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(4), pages 629-649.
    39. Stephen V. Cameron & James J. Heckman, 1998. "Life Cycle Schooling and Dynamic Selection Bias: Models and Evidence for Five Cohorts," NBER Working Papers 6385, National Bureau of Economic Research, Inc.
    40. Forcina, Antonio, 2008. "Identifiability of extended latent class models with individual covariates," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5263-5268, August.
    41. repec:adr:anecst:y:2006:i:83-84:p:10 is not listed on IDEAS
    42. Wilde, Joachim, 2000. "Identification of multiple equation probit models with endogenous dummy regressors," Economics Letters, Elsevier, vol. 69(3), pages 309-312, December.
    43. Zweifel, Peter & Manning, Willard G., 2000. "Moral hazard and consumer incentives in health care," Handbook of Health Economics, in: A. J. Culyer & J. P. Newhouse (ed.), Handbook of Health Economics, edition 1, volume 1, chapter 8, pages 409-459, Elsevier.
    44. Matzkin, Rosa L., 2007. "Nonparametric identification," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 73, Elsevier.
    45. Michael Hoy, 1982. "Categorizing Risks in the Insurance Industry," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 97(2), pages 321-336.
    46. Alma Cohen, 2005. "Asymmetric Information and Learning: Evidence from the Automobile Insurance Market," The Review of Economics and Statistics, MIT Press, vol. 87(2), pages 197-207, May.
    47. A. C. Cameron & P. K. Trivedi & Frank Milne & J. Piggott, 1988. "A Microeconometric Model of the Demand for Health Care and Health Insurance in Australia," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(1), pages 85-106.
    48. Ettner, Susan L., 1997. "Adverse selection and the purchase of Medigap insurance by the elderly," Journal of Health Economics, Elsevier, vol. 16(5), pages 543-562, October.
    49. Pierre‐André Chiappori & Bruno Jullien & Bernard Salanié & François Salanié, 2006. "Asymmetric information in insurance: general testable implications," RAND Journal of Economics, The RAND Corporation, vol. 37(4), pages 783-798, December.
    50. Richard J. Arnott & Joseph E. Stiglitz, 1988. "The Basic Analytics of Moral Hazard," NBER Working Papers 2484, National Bureau of Economic Research, Inc.
    51. Amy Finkelstein & Kathleen McGarry, 2006. "Multiple Dimensions of Private Information: Evidence from the Long-Term Care Insurance Market," American Economic Review, American Economic Association, vol. 96(4), pages 938-958, September.
    52. Andrew M. Jones & Xander Koolman & Eddy Van Doorslaer, 2006. "The impact of having supplementary private health insurance on the uses of specialists," Annals of Economics and Statistics, GENES, issue 83-84, pages 251-275.
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    Cited by:

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    4. Keane, Michael & Stavrunova, Olena, 2016. "Adverse selection, moral hazard and the demand for Medigap insurance," Journal of Econometrics, Elsevier, vol. 190(1), pages 62-78.
    5. Renate Lange & Jörg Schiller & Petra Steinorth, 2017. "Demand and Selection Effects in Supplemental Health Insurance in Germany," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 42(1), pages 5-30, January.
    6. Sebastian Panthöfer, 2016. "Risk Selection under Public Health Insurance with Opt‐Out," Health Economics, John Wiley & Sons, Ltd., vol. 25(9), pages 1163-1181, September.
    7. Ko, Hansoo, 2020. "Moral hazard effects of supplemental private health insurance in Korea," Social Science & Medicine, Elsevier, vol. 265(C).
    8. Valentino Dardanoni & Paolo Donni, 2016. "The welfare cost of unpriced heterogeneity in insurance markets," RAND Journal of Economics, RAND Corporation, vol. 47(4), pages 998-1028, November.
    9. Li Donni, P., 2010. "Risk Preference Heterogeneity And Multiple Demand For Insurance," Health, Econometrics and Data Group (HEDG) Working Papers 10/17, HEDG, c/o Department of Economics, University of York.
    10. Jiang, Yawen & Ni, Weiyi, 2020. "Impact of supplementary private health insurance on hospitalization and physical examination in China," China Economic Review, Elsevier, vol. 63(C).
    11. Forcina, Antonio, 2017. "A Fisher-scoring algorithm for fitting latent class models with individual covariates," Econometrics and Statistics, Elsevier, vol. 3(C), pages 132-140.
    12. Gang Chen & Gordon Liu & Fei Xu, 2014. "The Impact of the Urban Resident Basic Medical Insurance on Health Services Utilisation in China," PharmacoEconomics, Springer, vol. 32(3), pages 277-292, March.
    13. Xiaoqi Zhang & Yi Chen & Yi Yao, 2021. "Dynamic information asymmetry in micro health insurance: implications for sustainability," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 46(3), pages 468-507, July.
    14. William Nganje & Kwame Asiam Addey, 2019. "Health Uninsurance in rural America: a partial equilibrium analysis," Health Economics Review, Springer, vol. 9(1), pages 1-15, December.
    15. Vincenzo Atella & Alberto Holly & Alessandro Mistretta, 2016. "Disentangling Adverse Selection, Moral Hazard and Supply Induced Demand: An Empirical Analysis of The Demand For Healthcare Services," CEIS Research Paper 389, Tor Vergata University, CEIS, revised 31 Oct 2018.
    16. Preety Srivastava & Gang Chen & Anthony Harris, 2017. "Oral Health, Dental Insurance and Dental Service use in Australia," Health Economics, John Wiley & Sons, Ltd., vol. 26(1), pages 35-53, January.
    17. Renate Lange & Jörg Schiller & Petra Steinorth, 2015. "Demand and Selection Effects in Supplemental Health Insurance in Germany," SOEPpapers on Multidisciplinary Panel Data Research 757, DIW Berlin, The German Socio-Economic Panel (SOEP).
    18. Paolo Li Donni & Juan Rodríguez & Pedro Rosa Dias, 2015. "Empirical definition of social types in the analysis of inequality of opportunity: a latent classes approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 673-701, March.

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    JEL classification:

    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • I10 - Health, Education, and Welfare - - Health - - - General

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