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Limits to arbitrage when market participation is restricted


  • Hens, Thorsten
  • Jean-Jacques Herings, P.
  • Predtetchinskii, Arkadi


There is an extensive litarature claiming that it is often difficult to make use of arbitrage opportunities in financial markets. This paper provides a new reason why existing arbitrage opportunities might not be seized. We consider a world with short-lived securities, no short-selling constraints and no transaction costs. We show that to exploit all existing arbitrage opportunities, traders should pay attention to all financial markets simultaneously. It gives a general result stating that failure to do so will leave some arbitrage opportunities unexploited with probability one.
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Suggested Citation

  • Hens, Thorsten & Jean-Jacques Herings, P. & Predtetchinskii, Arkadi, 2006. "Limits to arbitrage when market participation is restricted," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 556-564, August.
  • Handle: RePEc:eee:mateco:v:42:y:2006:i:4-5:p:556-564

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    References listed on IDEAS

    1. Basak, Suleyman & Croitoru, Benjamin, 2000. "Equilibrium Mispricing in a Capital Market with Portfolio Constraints," Review of Financial Studies, Society for Financial Studies, vol. 13(3), pages 715-748.
    2. Dimitri Vayanos, 2003. "The Decentralization of Information Processing in the Presence of Interactions," Review of Economic Studies, Oxford University Press, vol. 70(3), pages 667-695.
    3. Shleifer, Andrei, 2000. "Inefficient Markets: An Introduction to Behavioral Finance," OUP Catalogue, Oxford University Press, number 9780198292272, June.
    4. Radner, Roy & Rothschild, Michael, 1975. "On the allocation of effort," Journal of Economic Theory, Elsevier, vol. 10(3), pages 358-376, June.
    5. Polemarchakis, H. M. & Siconolfi, P., 1997. "Generic existence of competitive equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 28(3), pages 289-311, October.
    6. Timothy van Zandt, 1999. "Real-Time Decentralized Information Processing as a Model of Organizations with Boundedly Rational Agents," Review of Economic Studies, Oxford University Press, vol. 66(3), pages 633-658.
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    Cited by:

    1. Carosi, Laura & Gori, Michele & Villanacci, Antonio, 2009. "Endogenous restricted participation in general financial equilibrium," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 787-806, December.
    2. Gori, Michele & Pireddu, Marina & Villanacci, Antonio, 2013. "Regularity and Pareto improving on financial equilibria with price-dependent borrowing restrictions," Research in Economics, Elsevier, vol. 67(1), pages 100-110.
    3. Bernard Cornet & Ramu Gopalan, 2010. "Arbitrage and equilibrium with portfolio constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 227-252, October.
    4. Michele Gori & Marina Pireddu & Antonio Villanacci, 2010. "Regularity and Pareto Improving on financial equilibria with endogenous borrowing restrictions," Working Papers - Mathematical Economics 2010-08, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa, revised Aug 2012.
    5. Knaut, Andreas & Paschmann, Martin, 2017. "Decoding Restricted Participation in Sequential Electricity Markets," EWI Working Papers 2017-5, Energiewirtschaftliches Institut an der Universitaet zu Koeln (EWI), revised 31 Aug 2017.
    6. Alasdair Brown, 2013. "Information Acquisition in Ostensibly Efficient Markets," University of East Anglia Applied and Financial Economics Working Paper Series 043, School of Economics, University of East Anglia, Norwich, UK..

    More about this item

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates


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