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Nash Equilibrium in Competitive Insurance

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  • Anastasios Dosis

    (THEMA - Théorie économique, modélisation et applications - CNRS - Centre National de la Recherche Scientifique - CY - CY Cergy Paris Université, ESSEC Business School)

Abstract

I formalize a rather stylized insurance market with adverse selection as a standard duopoly. I formally specify demand functions and profits and prove that a Nash equilibrium in pure strategies exists if and only if the well-known Rothschild–Stiglitz allocation is efficient.
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Suggested Citation

  • Anastasios Dosis, 2017. "Nash Equilibrium in Competitive Insurance," Post-Print hal-02980318, HAL.
    • Handle: RePEc:hal:journl:hal-02980318
    DOI: 10.1016/j.econlet.2016.12.030
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    References listed on IDEAS

    as
    1. 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.
    2. Hajime Miyazaki, 1977. "The Rat Race and Internal Labor Markets," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 394-418, Autumn.
    3. 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.
    4. 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.
    5. 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.
    6. Riley, John G, 1979. "Informational Equilibrium," Econometrica, Econometric Society, vol. 47(2), pages 331-359, March.
    7. 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.
    8. Engers, Maxim & Fernandez, Luis F, 1987. "Market Equilibrium with Hidden Knowledge and Self-selection," Econometrica, Econometric Society, vol. 55(2), pages 425-439, March.
    9. Wilson, Charles, 1977. "A model of insurance markets with incomplete information," Journal of Economic Theory, Elsevier, vol. 16(2), pages 167-207, December.
    10. 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.
    11. Spence, Michael, 1978. "Product differentiation and performance in insurance markets," Journal of Public Economics, Elsevier, vol. 10(3), pages 427-447, December.
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    Cited by:

    1. 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.
    2. Dosis, Anastasios, 2018. "On signalling and screening in markets with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 140-149.
    3. Dosis, Anastasios, 2019. "Optimal ex post risk adjustment in markets with adverse selection," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 52-59.
    4. Dosis, Anastasios, 2022. "Price caps and efficiency in markets with adverse selection," Journal of Mathematical Economics, Elsevier, vol. 99(C).

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    JEL classification:

    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

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