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Anything is Possible: On the Existence and Uniqueness of Equilibria in the Shleifer-Vishny Model of Limits of Arbitrage

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  • Lutz G. Arnold

Abstract

This paper characterizes equilibria in the Shleifer-Vishny model of limits of arbitrage. To prove existence, one has to consider types of equilibria ignored by Shleifer and Vishny, even if one adopts their parameter restrictions. For example, the only equilibrium may be one in which maximization of expected wealth requires an "all-or-nothing" investment strategy, with intermediate investment levels being strictly unprofitable. If one goes beyond Shleifer and Vishny's parameter restrictions, multiple equilibria may arise, and equilibrium selection may be governed by sunspots. Moreover, there may exist an equilibrium in which the asset price returns to fundamentals despite worsening noise trader sentiment. Copyright 2009, Oxford University Press.

Suggested Citation

  • Lutz G. Arnold, 2009. "Anything is Possible: On the Existence and Uniqueness of Equilibria in the Shleifer-Vishny Model of Limits of Arbitrage," Review of Finance, European Finance Association, vol. 13(3), pages 521-553.
    • Handle: RePEc:oup:revfin:v:13:y:2009:i:3:p:521-553
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    File URL: http://hdl.handle.net/10.1093/rof/rfn016
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    Cited by:

    1. Arnold, Lutz G. & Brunner, Stephan, 2015. "The economics of rational speculation in the presence of positive feedback trading," The Quarterly Review of Economics and Finance, Elsevier, vol. 57(C), pages 161-174.
    2. Wang, Wenzhao & Su, Chen & Duxbury, Darren, 2022. "The conditional impact of investor sentiment in global stock markets: A two-channel examination," Journal of Banking & Finance, Elsevier, vol. 138(C).
    3. Lutz G. Arnold & Stephan Brunner, 2012. "Is Rational Speculation in the Presence of Positive Feedback Traders Destabilizing?," Working Papers 119, Bavarian Graduate Program in Economics (BGPE).
    4. Paulo Vitor Jordão da Gama Silva & Augusto F.C. Neto & Marcelo Cabus Klotzle & Antonio Carlos Figueiredo pinto & Leonardo Lima Gomes, 2019. "Does the cryptocurrency market exhibits feedback trading?," Economics Bulletin, AccessEcon, vol. 39(4), pages 2830-2838.

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