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A note on uniqueness in game-theoretic foundations of the reactive equilibrium

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  • Mimra, Wanda
  • Wambach, Achim

Abstract

Riley (1979)'s reactive equilibrium concept addresses problems of equilibrium existence in competitive markets with adverse selection. The game-theoretic interpretation of the reactive equilibrium concept in Engers and Fernandez (1987) yields the Rothschild-Stiglitz (1976)/Riley (1979) allocation as an equilibrium allocation, however multiplicity of equilibrium emerges. In this note we imbed the reactive equilibrium's logic in a dynamic market context with active consumers. We show that the Riley/Rothschild-Stiglitz contracts constitute the unique equilibrium allocation in any pure strategy subgame perfect Nash equilibrium.

Suggested Citation

  • Mimra, Wanda & Wambach, Achim, 2014. "A note on uniqueness in game-theoretic foundations of the reactive equilibrium," CFS Working Paper Series 483, Center for Financial Studies (CFS).
    • Handle: RePEc:zbw:cfswop:483
    DOI: 10.2139/ssrn.2515395
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    References listed on IDEAS

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    1. Stiglitz, J E, 1979. "Equilibrium in Product Markets with Imperfect Information," American Economic Review, American Economic Association, vol. 69(2), pages 339-345, May.
    2. 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.
    3. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
    4. Riley, John G, 1979. "Informational Equilibrium," Econometrica, Econometric Society, vol. 47(2), pages 331-359, March.
    5. Engers, Maxim & Fernandez, Luis F, 1987. "Market Equilibrium with Hidden Knowledge and Self-selection," Econometrica, Econometric Society, vol. 55(2), pages 425-439, March.
    6. 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.
    7. Wilson, Charles, 1977. "A model of insurance markets with incomplete information," Journal of Economic Theory, Elsevier, vol. 16(2), pages 167-207, December.
    8. Hajime Miyazaki, 1977. "The Rat Race and Internal Labor Markets," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 394-418, Autumn.
    9. 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.
    10. 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. Azevedo, Eduardo M. & Gottlieb, Daniel, 2019. "An example of non-existence of Riley equilibrium in markets with adverse selection," Games and Economic Behavior, Elsevier, vol. 116(C), pages 152-157.
    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).

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    More about this item

    Keywords

    asymmetric information; competitive insurance market; contract addition; reactive equilibrium;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • L10 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - General

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