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Characterization, Existence, and Pareto Optimality in Insurance Markets with Asymmetric Information with Endogenous and Asymmetric Disclosures: Revisiting Rothschild-Stiglitz

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  • Joseph E. Stiglitz
  • Jungyoll Yun
  • Andrew Kosenko

Abstract

We study the Rothschild-Stiglitz model of competitive insurance markets with endogenous information disclosure by both firms and consumers. We show that an equilibrium always exists, (even without the single crossing property), and characterize the unique equilibrium allocation. With two types of consumers the outcome is particularly simple, consisting of a pooling allocation which maximizes the well-being of the low risk individual (along the zero profit pooling line) plus a supplemental (undisclosed and nonexclusive) contract that brings the high risk individual to full insurance (at his own odds). We show that this outcome is extremely robust and Pareto efficient.

Suggested Citation

  • Joseph E. Stiglitz & Jungyoll Yun & Andrew Kosenko, 2018. "Characterization, Existence, and Pareto Optimality in Insurance Markets with Asymmetric Information with Endogenous and Asymmetric Disclosures: Revisiting Rothschild-Stiglitz," NBER Working Papers 24711, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:24711
    Note: IO TWP
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    Cited by:

    1. Andrea Attar & Thomas Mariotti & François Salanié, 2020. "The Social Costs of Side Trading," The Economic Journal, Royal Economic Society, vol. 130(630), pages 1608-1622.
    2. Andrea Attar & Thomas Mariotti & François Salanié, 2022. "Regulating Insurance Markets: Multiple Contracting And Adverse Selection," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(3), pages 981-1020, August.
    3. 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.
    4. Joseph E. Stiglitz & Jungyoll Yun & Andrew Kosenko, 2019. "Characterization, Existence, and Pareto Optimality in Markets with Asymmetric Information and Endogenous and Asymmetric Disclosures: Basic Analytics of Revisiting Rothschild-Stiglitz," NBER Working Papers 26251, National Bureau of Economic Research, Inc.

    More about this item

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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