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Nash equilibrium in competitive insurance

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  • Dosis, Anastasios

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.

Suggested Citation

  • Dosis, Anastasios, 2017. "Nash equilibrium in competitive insurance," Economics Letters, Elsevier, vol. 152(C), pages 5-8.
    • Handle: RePEc:eee:ecolet:v:152:y:2017:i:c:p:5-8
    DOI: 10.1016/j.econlet.2016.12.030
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    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.
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    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. 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, 2019. "Optimal ex post risk adjustment in markets with adverse selection," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 52-59.
    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. Dosis, Anastasios, 2022. "Price caps and efficiency in markets with adverse selection," Journal of Mathematical Economics, Elsevier, vol. 99(C).

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    More about this item

    Keywords

    Insurance; Adverse selection; Duopoly; Contracts; Nash equilibrium;
    All these keywords.

    JEL classification:

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

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