IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-01206073.html
   My bibliography  Save this paper

Equilibrium in insurance markets with adverse selection when insurers pay policy dividends

Author

Listed:
  • Pierre Picard

    (X - École polytechnique - IP Paris - Institut Polytechnique de Paris)

Abstract

We show that an equilibrium always exists in the Rothschild-Stiglitz insurance market model with adverse selection and an arbitrary number of risk types, when insurance contracts include policy dividend rules. The Miyazaki-WilsonSpence state-contingent allocation is an equilibrium allocation, and it is the only one when out-of-equilibrium beliefs satisfy a robustness criterion. It is shown that stock insurers and mutuals may coexist, with stock insurers o⁄ering insurance coverage at actuarial price and mutuals cross-subsidizing risks.

Suggested Citation

  • Pierre Picard, 2016. "Equilibrium in insurance markets with adverse selection when insurers pay policy dividends," Working Papers hal-01206073, HAL.
  • Handle: RePEc:hal:wpaper:hal-01206073
    Note: View the original document on HAL open archive server: https://polytechnique.hal.science/hal-01206073v2
    as

    Download full text from publisher

    File URL: https://polytechnique.hal.science/hal-01206073v2/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Inderst, Roman & Wambach, Achim, 2001. "Competitive insurance markets under adverse selection and capacity constraints," European Economic Review, Elsevier, vol. 45(10), pages 1981-1992, December.
    3. 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.
    4. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 1-26.
    5. Hajime Miyazaki, 1977. "The Rat Race and Internal Labor Markets," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 394-418, Autumn.
    6. 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.
    7. 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.
    8. 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.
    9. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 27-41.
    10. Riley, John G, 1979. "Informational Equilibrium," Econometrica, Econometric Society, vol. 47(2), pages 331-359, March.
    11. 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.
    12. Engers, Maxim & Fernandez, Luis F, 1987. "Market Equilibrium with Hidden Knowledge and Self-selection," Econometrica, Econometric Society, vol. 55(2), pages 425-439, March.
    13. Wilson, Charles, 1977. "A model of insurance markets with incomplete information," Journal of Economic Theory, Elsevier, vol. 16(2), pages 167-207, December.
    14. Robert W. Rosenthal & Andrew Weiss, 1984. "Mixed-Strategy Equilibrium in a Market with Asymmetric Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(2), pages 333-342.
    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. Nathalie Fombaron & Georges Dionne & Wanda Mimra, 2023. "Adverse Sélection in Insurance," Post-Print hal-04416340, HAL.
    2. 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).
    3. Gemmo, Irina & Kubitza, Christian & Rothschild, Casey, 2020. "Constrained efficient equilibria in selection markets with continuous types," Journal of Public Economics, Elsevier, vol. 190(C).
    4. 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.
    5. 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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. von Siemens, Ferdinand A. & Kosfeld, Michael, 2014. "Team production in competitive labor markets with adverse selection," European Economic Review, Elsevier, vol. 68(C), pages 181-198.
    7. Dosis, Anastasios, 2019. "Optimal ex post risk adjustment in markets with adverse selection," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 52-59.
    8. Kosenko, Andrew & Stiglitz, Joseph & Yun, Jungyoll, 2023. "Bilateral information disclosure in adverse selection markets with nonexclusive competition," Journal of Economic Behavior & Organization, Elsevier, vol. 205(C), pages 144-168.
    9. De Feo, Giuseppe & Hindriks, Jean, 2014. "Harmful competition in insurance markets," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 213-226.
    10. Dosis, Anastasios, 2018. "On signalling and screening in markets with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 140-149.
    11. 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.
    12. Li, Anqi & Xing, Yiqing, 2020. "Intermediated implementation," European Economic Review, Elsevier, vol. 123(C).
    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. Dosis, Anastasios, 2017. "Nash equilibrium in competitive insurance," Economics Letters, Elsevier, vol. 152(C), pages 5-8.
    15. Dionne, Georges & Fombaron, Nathalie & Mimra, Wanda, 2023. "Adverse selection in insurance," Working Papers 23-5, HEC Montreal, Canada Research Chair in Risk Management.
    16. 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(3), pages 1027-1056, August.
    17. 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.
    18. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2018. "On competing mechanisms under exclusive competition," Games and Economic Behavior, Elsevier, vol. 111(C), pages 1-15.
    19. Farinha Luz, Vitor, 2017. "Characterization and uniqueness of equilibrium in competitive insurance," Theoretical Economics, Econometric Society, vol. 12(3), September.
    20. Theodoros M. Diasakos & Kostas Koufopoulos, 2011. "Efficient Nash Equilibrium under Adverse Selection," Carlo Alberto Notebooks 215, Collegio Carlo Alberto.

    More about this item

    Keywords

    Participating Contract; Policy Dividend; Insurance; Adverse Selection; Mutual;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:hal:wpaper:hal-01206073. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.