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Characterization and uniqueness of equilibrium in competitive insurance

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  • Farinha Luz, Vitor

    (Vancouver School of Economics, University of British Columbia)

Abstract

This paper provides a complete characterization of equilibria in a game-theoretic version of Rothschild and Stiglitz (1976)’s model of competitive insurance. I allow for stochastic contract offers by insurance firms and show that a unique symmetric equilibrium always exists. Exact conditions under which the equilibrium involves mixed strategies are provided. The mixed equilibrium features: (i) cross-subsidization across risk levels, (ii) dependence of offers on the risk distribution and (iii) price dispersion generated by firm randomization over offers.

Suggested Citation

  • Farinha Luz, Vitor, 2017. "Characterization and uniqueness of equilibrium in competitive insurance," Theoretical Economics, Econometric Society, vol. 12(3), September.
    • Handle: RePEc:the:publsh:2166
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    References listed on IDEAS

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    Cited by:

    1. Vitor Farinha Luz, 2022. "Optimal dynamic insurance contracts," Papers 2208.14560, arXiv.org.
    2. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2018. "On competing mechanisms under exclusive competition," Games and Economic Behavior, Elsevier, vol. 111(C), pages 1-15.
    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. Levy, Yehuda John & Veiga, Andre, 2020. "On the existence of positive equilibrium profits in competitive screening markets," Games and Economic Behavior, Elsevier, vol. 124(C), pages 140-168.
    5. Dionne, Georges & Fombaron, Nathalie & Mimra, Wanda, 2023. "Adverse selection in insurance," Working Papers 23-5, HEC Montreal, Canada Research Chair in Risk Management.
    6. 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.
    7. 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.
    8. Gemmo, Irina & Kubitza, Christian & Rothschild, Casey, 2020. "Constrained efficient equilibria in selection markets with continuous types," Journal of Public Economics, Elsevier, vol. 190(C).
    9. Jorge Lemus & Emil Temnyalov & John L. Turner, 2021. "Liability Insurance: Equilibrium Contracts under Monopoly and Competition," American Economic Journal: Microeconomics, American Economic Association, vol. 13(1), pages 83-115, February.
    10. Downs, Justin, 2024. "Screening, overconfidence, and competition’s effect on market efficiency," Journal of Economic Behavior & Organization, Elsevier, vol. 226(C).

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    More about this item

    Keywords

    Asymmetric and private information; mechanism design; oligopoly; economics of contracts; insurance;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

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