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Mixed-Strategy Equilibrium in a Market with Asymmetric Information

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  • Robert W. Rosenthal
  • Andrew Weiss

Abstract

In the mid-1970s several authors studied models of markets with asymmetric information in which equilibria do not exist. Although those authors focused on models of insurance and education, it was recognized that similar nonexistence problems arise in a wide class of models with asymmetric information. Recently, Dasgupta and Maskin have demonstrated that for a game-theoretic version of at least one of those models, although no equilibria may exist in pure strategies, equilibria exist in mixed strategies. In the present paper we construct a mixed-strategy equilibrium for one member of the class—Spence's signalling model of education. Qualitative features of the equilibrium are explored.

Suggested Citation

  • 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.
    • Handle: RePEc:oup:restud:v:51:y:1984:i:2:p:333-342.
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    Cited by:

    1. Moscarini, Giuseppe & Ottaviani, Marco, 2001. "Price Competition for an Informed Buyer," Journal of Economic Theory, Elsevier, vol. 101(2), pages 457-493, December.
    2. Pierre Picard, 2019. "Equilibrium in Insurance Markets With Adverse Selection When Insurers Pay Policy Dividends," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 86(4), pages 887-914, December.
    3. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2018. "On competing mechanisms under exclusive competition," Games and Economic Behavior, Elsevier, vol. 111(C), pages 1-15.
    4. Dosis, Anastasios, 2017. "Nash equilibrium in competitive insurance," Economics Letters, Elsevier, vol. 152(C), pages 5-8.
    5. 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.
    6. V. V. Chari, 2017. "Comment on "Credit Market Freezes"," NBER Chapters, in: NBER Macroeconomics Annual 2017, volume 32, pages 527-536, National Bureau of Economic Research, Inc.
    7. Chunlin Wang & Joyendu Bhadury, 2022. "Consensus Game: An Extension of Battle of the Sexes Game," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 24(04), pages 1-15, December.
    8. von Siemens, Ferdinand A. & Kosfeld, Michael, 2014. "Team production in competitive labor markets with adverse selection," European Economic Review, Elsevier, vol. 68(C), pages 181-198.
    9. 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.
    10. Lippert, Steffen & Schumacher, Christoph, 2009. "Hopping on the methadone bus," Journal of Health Economics, Elsevier, vol. 28(3), pages 728-736, May.
    11. 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.
    12. Ewerhart, Christian, 2017. "Contests with small noise and the robustness of the all-pay auction," Games and Economic Behavior, Elsevier, vol. 105(C), pages 195-211.
    13. Innes, Robert, 1987. "Asymmetric Information And The Entrepreneurial Firm: Capital Structure, Investment And Government Intervention," Working Papers 225813, University of California, Davis, Department of Agricultural and Resource Economics.
    14. Joseph Stiglitz & Andrew Weiss, 1990. "Sorting Out the Differences Between Signaling and Screening Models," NBER Technical Working Papers 0093, National Bureau of Economic Research, Inc.
    15. Hernández, Juan & Wills, Daniel, 2024. "Fighting for the Best, Losing with the Rest: The Perils of Competition in Entrepreneurial Finance," IDB Publications (Working Papers) 13362, Inter-American Development Bank.
    16. Andrew Weiss, 1985. "High School Graduation, Performance and Earnings," NBER Working Papers 1595, National Bureau of Economic Research, Inc.
    17. Farinha Luz, Vitor, 2017. "Characterization and uniqueness of equilibrium in competitive insurance," Theoretical Economics, Econometric Society, vol. 12(3), September.
    18. Felipe Balmaceda, "undated". "Compensation Methods in Competitive Labor Markets," ILADES-UAH Working Papers inv118, Universidad Alberto Hurtado/School of Economics and Business.
    19. Dionne, Georges & Fombaron, Nathalie & Mimra, Wanda, 2023. "Adverse selection in insurance," Working Papers 23-5, HEC Montreal, Canada Research Chair in Risk Management.
    20. Zink, Helmut, 1995. "The role of market intransparency in insurance market models," European Journal of Political Economy, Elsevier, vol. 11(2), pages 335-359, June.
    21. Silke Finken & Christian Laux, 2009. "Catastrophe Bonds and Reinsurance: The Competitive Effect of Information‐Insensitive Triggers," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(3), pages 579-605, September.
    22. Felipe Balmaceda, 2004. "Uncertainty, Pay for Performance and Adverse Selection in a Competitive Labor Market," Documentos de Trabajo 196, Centro de Economía Aplicada, Universidad de Chile.
    23. Felipe Balmaceda, 2002. "Compensation Methods in a Competitive Labor Market: the Role of Asymmetric Information," Documentos de Trabajo 139, Centro de Economía Aplicada, Universidad de Chile.
    24. Taburet, Arthur & Polo, Alberto & Vo, Quynh-Anh, 2024. "Screening using a menu of contracts: a structural model of lending markets," Bank of England working papers 1057, Bank of England.

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