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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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Arnold, Lutz G.

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Abstract

This paper gives a complete characterization of the equilibria in Shleifer and Vishny's (1997) model of "Limits of Arbitrage". We show that expected wealth (the arbitrageurs' objective function) is a possibly non-concave function of investment and that the relation between investment and prices is not necessarily continuous or single-valued or well-defined. As a result, "anything is possible": non-existence or multiplicity of equilibria may arise, and sunspots may govern the equilibrium selection in the latter case.

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Paper provided by University of Regensburg, Department of Economics in its series Regensburger Diskussionsbeiträge zur Wirtschaftswissenschaft with number 418.

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Date of creation: 27 Oct 2006
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Handle: RePEc:bay:rdwiwi:732

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Related research
Keywords: behavioral finance; limits of arbitrage; existence of an equilibrium; sunspots; Behavioral Finance; Grenzen der Arbitrage; Existenz eines Gleichgewichts; Sonnenflecken; Anlageverhalten; Arbitrage;

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G12 - Financial Economics - - General Financial Markets - - - Asset Pricing

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  1. Shleifer, Andrei & Vishny, Robert W, 1997. " The Limits of Arbitrage," Journal of Finance, American Finance Association, vol. 52(1), pages 35-55, March. [Downloadable!] (restricted)
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  2. 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. [Downloadable!] (restricted)
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