(Translated by https://www.hiragana.jp/)
Optimal ex post risk adjustment in markets with adverse selection
IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v85y2019icp52-59.html
   My bibliography  Save this article

Optimal ex post risk adjustment in markets with adverse selection

Author

Listed:
  • Dosis, Anastasios

Abstract

This paper studies general health insurance markets and proposes a scheme of transfers among a regulator and insurers that discourages risk selection and promotes efficient competition. The proposed scheme conditions transfers on the ex post profits of insurers and requires the regulator to hold minimal information to implement it. Equilibrium exists and each equilibrium allocation is efficient in any environment with a finite number of types and states even if single-crossing is not satisfied. I argue that the proposed scheme features the characteristics of ex post risk adjustment.

Suggested Citation

  • Dosis, Anastasios, 2019. "Optimal ex post risk adjustment in markets with adverse selection," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 52-59.
  • Handle: RePEc:eee:mateco:v:85:y:2019:i:c:p:52-59
    DOI: 10.1016/j.jmateco.2019.09.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406819301028
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jmateco.2019.09.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jason Brown & Mark Duggan & Ilyana Kuziemko & William Woolston, 2014. "How Does Risk Selection Respond to Risk Adjustment? New Evidence from the Medicare Advantage Program," American Economic Review, American Economic Association, vol. 104(10), pages 3335-3364, October.
    2. Thomas Buchmueller & John Dinardo, 2002. "Did Community Rating Induce an Adverse Selection Death Spiral? Evidence from New York, Pennsylvania, and Connecticut," American Economic Review, American Economic Association, vol. 92(1), pages 280-294, March.
    3. Eduardo M. Azevedo & Daniel Gottlieb, 2017. "Perfect Competition in Markets With Adverse Selection," Econometrica, Econometric Society, vol. 85, pages 67-105, January.
    4. Shen, Yujing & Ellis, Randall P., 2002. "Cost-minimizing risk adjustment," Journal of Health Economics, Elsevier, vol. 21(3), pages 515-530, May.
    5. Laffont, Jean-Jacques & Tirole, Jean, 1986. "Using Cost Observation to Regulate Firms," Journal of Political Economy, University of Chicago Press, vol. 94(3), pages 614-641, June.
    6. Thomas G. McGuire & Jacob Glazer, 2000. "Optimal Risk Adjustment in Markets with Adverse Selection: An Application to Managed Care," American Economic Review, American Economic Association, vol. 90(4), pages 1055-1071, September.
    7. Alberto Bisin & Piero Gottardi, 2006. "Efficient Competitive Equilibria with Adverse Selection," Journal of Political Economy, University of Chicago Press, vol. 114(3), pages 485-516, June.
    8. Benjamin Lester & Ali Shourideh & Venky Venkateswaran & Ariel Zetlin-Jones, 2019. "Screening and Adverse Selection in Frictional Markets," Journal of Political Economy, University of Chicago Press, vol. 127(1), pages 338-377.
    9. Hajime Miyazaki, 1977. "The Rat Race and Internal Labor Markets," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 394-418, Autumn.
    10. 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.
    11. Pradeep Dubey & John Geanakoplos, 2002. "Competitive Pooling: Rothschild-Stiglitz Reconsidered," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(4), pages 1529-1570.
    12. Prescott, Edward C & Townsend, Robert M, 1984. "Pareto Optima and Competitive Equilibria with Adverse Selection and Moral Hazard," Econometrica, Econometric Society, vol. 52(1), pages 21-45, January.
    13. Cabral, Luis M B & Riordan, Michael H, 1989. "Incentives for Cost Reduction under Price Cap Regulation," Journal of Regulatory Economics, Springer, vol. 1(2), pages 93-102, June.
    14. Neale Mahoney & E. Glen Weyl, 2017. "Imperfect Competition in Selection Markets," The Review of Economics and Statistics, MIT Press, vol. 99(4), pages 637-651, July.
    15. Pierre Picard, 2014. "Participating Insurance Contracts and the Rothschild-Stiglitz Equilibrium Puzzle," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 39(2), pages 153-175, September.
    16. Dosis, Anastasios, 2018. "On signalling and screening in markets with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 140-149.
    17. Diasakos, Theodoros M. & Koufopoulos, Kostas, 2018. "(Neutrally) Optimal Mechanism under Adverse Selection: The canonical insurance problem," Games and Economic Behavior, Elsevier, vol. 111(C), pages 159-186.
    18. Mathias Kifmann & Normann Lorenz, 2011. "Optimal cost reimbursement of health insurers to reduce risk selection," Health Economics, John Wiley & Sons, Ltd., vol. 20(5), pages 532-552, May.
    19. Bruno Jullien & Bernard Salanié & François Salanié, 2007. "Screening risk-averse agents under moral hazard: single-crossing and the CARA case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 151-169, January.
    20. Nick Netzer & Florian Scheuer, 2014. "A Game Theoretic Foundation Of Competitive Equilibria With Adverse Selection," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 399-422, May.
    21. Riley, John G, 1979. "Informational Equilibrium," Econometrica, Econometric Society, vol. 47(2), pages 331-359, March.
    22. Neale Mahoney & E. Glen Weyl, 2014. "Imperfect Competition in Selection Markets," NBER Working Papers 20411, National Bureau of Economic Research, Inc.
    23. Hellwig, Martin, 1987. "Some recent developments in the theory of competition in markets with adverse selection ," European Economic Review, Elsevier, vol. 31(1-2), pages 319-325.
    24. Lo Sasso, Anthony T. & Lurie, Ithai Z., 2009. "Community rating and the market for private non-group health insurance," Journal of Public Economics, Elsevier, vol. 93(1-2), pages 264-279, February.
    25. Connelly, Luke B. & Paolucci, Francesco & Butler, James R.G. & Collins, Paul, 2010. "Risk equalisation and voluntary health insurance markets: The case of Australia," Health Policy, Elsevier, vol. 98(1), pages 3-14, November.
    26. Dosis, Anastasios, 2017. "Nash equilibrium in competitive insurance," Economics Letters, Elsevier, vol. 152(C), pages 5-8.
    27. Neudeck, Werner & Podczeck, Konrad, 1996. "Adverse selection and regulation in health insurance markets," Journal of Health Economics, Elsevier, vol. 15(4), pages 387-408, August.
    28. Alessandro Citanna & Paolo Siconolfi, 2016. "Incentive Efficient Price Systems In Large Insurance Economies With Adverse Selection," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57, pages 1027-1056, August.
    29. Spence, Michael, 1978. "Product differentiation and performance in insurance markets," Journal of Public Economics, Elsevier, vol. 10(3), pages 427-447, December.
    30. André Veiga & E. Glen Weyl, 2016. "Product Design in Selection Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(2), pages 1007-1056.
    31. George A. Akerlof, 1970. "The Market for "Lemons": Quality Uncertainty and the Market Mechanism," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 84(3), pages 488-500.
    32. 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.
    33. B. Dahlby, 1981. "Adverse selection and Pareto improvements through compulsory insurance," Public Choice, Springer, vol. 37(3), pages 547-558, January.
    34. Naoki Aizawa & You Suk Kim, 2015. "Advertising and Risk Selection in Health Insurance Markets," Finance and Economics Discussion Series 2015-101, Board of Governors of the Federal Reserve System (U.S.).
    35. Armstrong, John & Paolucci, Francesco & van de Ven, Wynand P.M.M., 2010. "Risk equalisation in voluntary health insurance markets," Health Policy, Elsevier, vol. 98(1), pages 1-2, November.
    36. Van de ven, Wynand P.M.M. & Ellis, Randall P., 2000. "Risk adjustment in competitive health plan markets," Handbook of Health Economics, in: A. J. Culyer & J. P. Newhouse (ed.), Handbook of Health Economics, edition 1, volume 1, chapter 14, pages 755-845, Elsevier.
    37. Asheim, Geir B. & Nilssen, Tore, 1996. "Non-discriminating renegotiation in a competitive insurance market," European Economic Review, Elsevier, vol. 40(9), pages 1717-1736, December.
    38. Armstrong, John & Paolucci, Francesco & McLeod, Heather & van de Ven, Wynand P.M.M., 2010. "Risk equalisation in voluntary health insurance markets: A three country comparison," Health Policy, Elsevier, vol. 98(1), pages 39-49, November.
    39. Mark V. Pauly, 1974. "Overinsurance and Public Provision of Insurance: The Roles of Moral Hazard and Adverse Selection," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 88(1), pages 44-62.
    40. Douglas Gale, 1992. "A Walrasian Theory of Markets with Adverse Selection," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(2), pages 229-255.
    41. 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.
    42. Jean-Jacques Laffont & Jean Tirole, 1993. "A Theory of Incentives in Procurement and Regulation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262121743, April.
    43. Erik van Barneveld & Leida Lamers & René van Vliet & Wynand van de Ven, 2000. "Ignoring small predictable profits and losses: a new approach for measuring incentives for cream skimming," Health Care Management Science, Springer, vol. 3(2), pages 131-140, February.
    44. Crocker, Keith J. & Snow, Arthur, 1985. "The efficiency of competitive equilibria in insurance markets with asymmetric information," Journal of Public Economics, Elsevier, vol. 26(2), pages 207-219, March.
    45. Jack, William, 2006. "Optimal risk adjustment with adverse selection and spatial competition," Journal of Health Economics, Elsevier, vol. 25(5), pages 908-926, September.
    46. Engers, Maxim & Fernandez, Luis F, 1987. "Market Equilibrium with Hidden Knowledge and Self-selection," Econometrica, Econometric Society, vol. 55(2), pages 425-439, March.
    47. Ilyana Kuziemko & Katherine Meckel & Maya Rossin-Slater, 2013. "Do Insurers Risk-Select Against Each Other? Evidence from Medicaid and Implications for Health Reform," NBER Working Papers 19198, National Bureau of Economic Research, Inc.
    48. Wilson, Charles, 1977. "A model of insurance markets with incomplete information," Journal of Economic Theory, Elsevier, vol. 16(2), pages 167-207, December.
    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. Barros, Pedro Pita, 2003. "Cream-skimming, incentives for efficiency and payment system," Journal of Health Economics, Elsevier, vol. 22(3), pages 419-443, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yuya Wakabayashi, 2024. "An implementation of constrained efficient allocations in hidden information economies," OSIPP Discussion Paper 24E002, Osaka School of International Public Policy, Osaka University.
    2. Dosis, Anastasios, 2022. "Price caps and efficiency in markets with adverse selection," Journal of Mathematical Economics, Elsevier, vol. 99(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dosis, Anastasios, 2018. "On signalling and screening in markets with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 140-149.
    2. Dosis, Anastasios, 2022. "Price caps and efficiency in markets with adverse selection," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    3. Wanda Mimra & Achim Wambach, 2019. "Contract withdrawals and equilibrium in competitive markets with adverse selection," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(4), pages 875-907, June.
    4. Daniel McFadden & Carlos Noton & Pau Olivella, "undated". "Remedies for Sick Insurance," Working Papers 620, Barcelona School of Economics.
    5. Diasakos, Theodoros M. & Koufopoulos, Kostas, 2018. "(Neutrally) Optimal Mechanism under Adverse Selection: The canonical insurance problem," Games and Economic Behavior, Elsevier, vol. 111(C), pages 159-186.
    6. Dionne, G. & Doherty, N., 1991. "Adverse Selection In Insurance Markets: A Selective Survey," Cahiers de recherche 9105, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    7. De Feo, Giuseppe & Hindriks, Jean, 2014. "Harmful competition in insurance markets," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 213-226.
    8. Wanda Mimra & Achim Wambach, 2011. "A Game-Theoretic Foundation for the Wilson Equilibrium in Competitive Insurance Markets with Adverse Selection," CESifo Working Paper Series 3412, CESifo.
    9. Nick Netzer & Florian Scheuer, 2014. "A Game Theoretic Foundation Of Competitive Equilibria With Adverse Selection," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(2), pages 399-422, May.
    10. Wanda Mimra & Achim Wambach, 2014. "New Developments in the Theory of Adverse Selection in Competitive Insurance," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 39(2), pages 136-152, September.
    11. Gemmo, Irina & Kubitza, Christian & Rothschild, Casey, 2020. "Constrained efficient equilibria in selection markets with continuous types," Journal of Public Economics, Elsevier, vol. 190(C).
    12. Georges Dionne & Casey Rothschild, 2014. "Economic Effects of Risk Classification Bans," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 39(2), pages 184-221, September.
    13. Dionne, Georges & Fombaron, Nathalie & Doherty, Neil, 2012. "Adverse selection in insurance contracting," Working Papers 12-8, HEC Montreal, Canada Research Chair in Risk Management.
    14. Dionne, Georges & Fombaron, Nathalie & Mimra, Wanda, 2023. "Adverse selection in insurance," Working Papers 23-5, HEC Montreal, Canada Research Chair in Risk Management.
    15. Georges Dionne & Casey G. Rothschild, 2011. "Risk Classification in Insurance Contracting," Cahiers de recherche 1137, CIRPEE.
    16. Anastasios Dosis, 2016. "An Efficient Mechanism for Competitive Markets with Adverse Selection," Working Papers hal-01282772, HAL.
    17. 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.
    18. Li, Anqi & Xing, Yiqing, 2020. "Intermediated implementation," European Economic Review, Elsevier, vol. 123(C).
    19. Dosis, Anastasios, 2016. "Investment, Adverse Selection and Optimal Redistributive Taxation," ESSEC Working Papers WP1605, ESSEC Research Center, ESSEC Business School.
    20. Gemmo, Irina & Kubitza, Christian & Rothschild, Casey G., 2018. "The existence of the Miyazaki-Wilson-Spence equilibrium with continuous type distributions," ICIR Working Paper Series 32/18, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).

    More about this item

    Keywords

    Health insurance; Risk selection; Risk adjustment; Efficiency;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • I10 - Health, Education, and Welfare - - Health - - - General
    • I13 - Health, Education, and Welfare - - Health - - - Health Insurance, Public and Private
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:85:y:2019:i:c:p:52-59. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.