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Walrasian foundations for equilibria in segmented markets

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  • Rahi, Rohit
  • Zigrand, Jean-Pierre

Abstract

We study an economy with segmented financial markets and strategic arbitrageurs who link these markets. We show that the equilibrium of the arbitraged economy is asymptotically Walrasian in the sense that it converges to the equilibrium of an appropriately defined competitive economy with no arbitrageurs. The equilibrium of this competitive economy, called Walrasian equilibrium with restricted consumption, is related to - though not identical to - the well-known Walrasian equilibrium with restricted participation. This characterization serves to clarify the role that arbitrageurs play in integrating markets. - See more at: http://www.systemicrisk.ac.uk/publications/discussion-papers/walrasian-foundations-equilibria-segmented-markets#sthash.G3XjPMFl.dpuf

Suggested Citation

  • Rahi, Rohit & Zigrand, Jean-Pierre, 2013. "Walrasian foundations for equilibria in segmented markets," LSE Research Online Documents on Economics 62008, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:62008
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    1. Jaskold Gabszewicz, Jean & Vial, Jean-Philippe, 1972. "Oligopoly "A la cournot" in a general equilibrium analysis," Journal of Economic Theory, Elsevier, vol. 4(3), pages 381-400, June.
    2. Rohit Rahi & Jean-Pierre Zigrand, 2009. "Strategic Financial Innovation in Segmented Markets," The Review of Financial Studies, Society for Financial Studies, vol. 22(8), pages 2941-2971, August.
    3. Cass, David & Siconolfi, Paolo & Villanacci, Antonio, 2001. "Generic regularity of competitive equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 61-76, September.
    4. Gromb, Denis & Vayanos, Dimitri, 2002. "Equilibrium and welfare in markets with financially constrained arbitrageurs," Journal of Financial Economics, Elsevier, vol. 66(2-3), pages 361-407.
    5. Denis Gromb & Dimitri Vayanos, 2010. "Limits of Arbitrage: The State of the Theory," NBER Working Papers 15821, National Bureau of Economic Research, Inc.
    6. Zigrand, Jean-Pierre, 2006. "Endogenous market integration, manipulation and limits to arbitrage," Journal of Mathematical Economics, Elsevier, vol. 42(3), pages 301-314, June.
    7. 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.
    8. Zigrand, Jean-Pierre, 2004. "A general equilibrium analysis of strategic arbitrage," Journal of Mathematical Economics, Elsevier, vol. 40(8), pages 923-952, December.
    9. Denis Gromb & Dimitri Vayanos, 2010. "Limits of Arbitrage," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 251-275, December.
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    Cited by:

    1. 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.
    2. Rahi, Rohit & Zigrand, Jean-Pierre, 2020. "Market fragmentation and contagion," LSE Research Online Documents on Economics 118876, London School of Economics and Political Science, LSE Library.
    3. Rahi, Rohit & Zigrand, Jean-Pierre, 2013. "Market quality and contagion in fragmented markets," LSE Research Online Documents on Economics 60971, London School of Economics and Political Science, LSE Library.
    4. Rahi, Rohit & Zigrand, Jean-Pierre, 2009. "Endogenous liquidity and contagion," LSE Research Online Documents on Economics 29300, London School of Economics and Political Science, LSE Library.

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    More about this item

    Keywords

    segmented markets; arbitrage; restricted participation.;
    All these keywords.

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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