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Is Kyle's equilibrium model stable?

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  • Umut Cetin
  • Kasper Larsen

Abstract

In the dynamic discrete-time trading setting of Kyle (1985), we prove that Kyle's equilibrium model is stable when there are one or two trading times. For three or more trading times, we prove that Kyle's equilibrium is not stable. These theoretical results are proven to hold irrespectively of all Kyle's input parameters.

Suggested Citation

  • Umut Cetin & Kasper Larsen, 2023. "Is Kyle's equilibrium model stable?," Papers 2307.09392, arXiv.org, revised Jul 2023.
    • Handle: RePEc:arx:papers:2307.09392
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    File URL: http://arxiv.org/pdf/2307.09392
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    References listed on IDEAS

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    1. Holden, Craig W & Subrahmanyam, Avanidhar, 1992. "Long-Lived Private Information and Imperfect Competition," Journal of Finance, American Finance Association, vol. 47(1), pages 247-270, March.
    2. Biais, Bruno & Foucault, Thierry & Moinas, Sophie, 2015. "Equilibrium fast trading," Journal of Financial Economics, Elsevier, vol. 116(2), pages 292-313.
    3. Alex Boulatov & Dan Bernhardt, 2015. "Robustness of equilibrium in the Kyle model of informed speculation," Annals of Finance, Springer, vol. 11(3), pages 297-318, November.
    4. Colliard, Jean-Edouard & Foucault, Thierry & Lovo, Stefano, 2022. "Algorithmic Pricing and Liquidity in Securities Markets," HEC Research Papers Series 1459, HEC Paris.
    5. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    6. Peter M. DeMarzo & Ron Kaniel & Ilan Kremer, 2008. "Relative Wealth Concerns and Financial Bubbles," The Review of Financial Studies, Society for Financial Studies, vol. 21(1), pages 19-50, January.
    7. Back, Kerry E., 2017. "Asset Pricing and Portfolio Choice Theory," OUP Catalogue, Oxford University Press, number 9780190241148.
    8. Stauber, Ronald, 2011. "Knightian games and robustness to ambiguity," Journal of Economic Theory, Elsevier, vol. 146(1), pages 248-274, January.
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    Cited by:

    1. Christoph Kuhn & Christopher Lorenz, 2023. "Insider trading in discrete time Kyle games," Papers 2312.00904, arXiv.org, revised Jul 2024.

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