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Arbitrage and equilibrium in strategic security markets

Author

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  • Leonidas Koutsougeras
  • Konstantinos Papadopoulos

Abstract

In view of the fundamental price taking hypothesis, arbitrage is never compatible with equilibrium in Walrasian markets because the existence of an arbitrage opportunity in a competitive situation always leads to unbounded arbitrage activity. In strategic markets however, the mere effort of individuals to profit alters market clearing prices and thus distorts arbitrage opportunities as well. This observation suggests a different relationship between arbitrage and equilibrium, than in the competitive model. Indeed, we show that in such markets a spread between the cost of a portfolio and its returns is compatible with equilibrium. We provide an example of an equilibrium where a resourceless individual holds a portfolio with zero cost and positive return in every state. We further demonstrate via an asymptotic result, that no arbitrage is intimately related to price taking behaviour. Copyright Springer-Verlag Berlin/Heidelberg 2004

Suggested Citation

  • Leonidas Koutsougeras & Konstantinos Papadopoulos, 2004. "Arbitrage and equilibrium in strategic security markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(3), pages 553-568, March.
    • Handle: RePEc:spr:joecth:v:23:y:2004:i:3:p:553-568
    DOI: 10.1007/s00199-003-0373-4
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    Citations

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    Cited by:

    1. Gaël Giraud & Hubert Stahn, 2008. "On Shapley–Shubik equilibria with financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(3), pages 469-496, June.
    2. Hens, Thorsten & Reimann, Stefan & Vogt, Bodo, 2004. "Nash competitive equilibria and two-period fund separation," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 321-346, June.
    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. Andrés Carvajal & Marek Weretka, 2012. "No-arbitrage, state prices and trade in thin financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(1), pages 223-268, May.
    5. Andrés Carvajal, 2018. "Arbitrage pricing in non-Walrasian financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(4), pages 951-978, December.
    6. Michail Anthropelos & Scott Robertson & Konstantinos Spiliopoulos, 2021. "Optimal investment, derivative demand, and arbitrage under price impact," Mathematical Finance, Wiley Blackwell, vol. 31(1), pages 3-35, January.
    7. Manfred Nermuth, 2011. "Competing in Several Areas Simultaneously: The Case of Strategic Asset Markets," Games, MDPI, vol. 2(2), pages 1-26, April.
    8. Papadopoulos Konstantinos G., 2008. "Purchasing Power Parity with Strategic Markets," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-32, June.
    9. Dmitry Levando, 2012. "A Survey Of Strategic Market Games," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 57(194), pages 63-106, July - Se.
    10. Dimitris Voliotis, 2013. "Arbitrage, strategic inefficiency and self-regulation," Review of Economic Design, Springer;Society for Economic Design, vol. 17(1), pages 27-41, March.

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