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


  • Lutz G. Arnold


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.

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  • 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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    References listed on IDEAS

    1. Barberis, Nicholas & Thaler, Richard, 2003. "A survey of behavioral finance," Handbook of the Economics of Finance,in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 18, pages 1053-1128 Elsevier.
    2. Shleifer, Andrei & Vishny, Robert W, 1997. " The Limits of Arbitrage," Journal of Finance, American Finance Association, vol. 52(1), pages 35-55, March.
    3. Glaser, Markus & Nöth, Markus & Weber, Martin, 2003. "Behavioral Finance," Sonderforschungsbereich 504 Publications 03-14, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
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    Cited by:

    1. 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).
    2. 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.

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