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The Impact of Imitation on Long Memory in an Order-Driven Market

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  • Blake LeBaron

    (International Business School, Brandeis University, 415 South Street, Mailstop 32, Waltham, MA 02453-2728, USA. E-mails: blebaron@brandeis.edu, www.brandeis.edu/ blebaron)

  • Ryuichi Yamamoto

    (Department of International Business, National Chengchi University, 64 Sec.2, Zhi-Nan Road, Taipei, Taiwan)

Abstract

Recent research has documented that learning and evolution are capable of generating many well-known features in financial times series. We extend the results of LeBaron and Yamamoto (2007) to explore the impact of varying amounts of imitation and agent learning in a simple order-driven market. We show that in our framework, imitation is critical to the generation of long memory persistence in many financial time series. This shows that imitation across trader behavior is probably crucial for understanding the dynamics of prices and trading volume. Eastern Economic Journal (2008) 34, 504–517. doi:10.1057/eej.2008.32

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Bibliographic Info

Article provided by Palgrave Macmillan in its journal Eastern Economic Journal.

Volume (Year): 34 (2008)
Issue (Month): 4 ()
Pages: 504-517

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Handle: RePEc:pal:easeco:v:34:y:2008:i:4:p:504-517

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References

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  1. Andrew W. Lo, 1989. "Long-term Memory in Stock Market Prices," NBER Working Papers 2984, National Bureau of Economic Research, Inc.
  2. Blake LeBaron, 1999. "Evolution and Time Horizons in an Agent-Based Stock Market," Computing in Economics and Finance 1999 1342, Society for Computational Economics.
  3. J. Doyne Farmer & Paolo Patelli & Ilija I. Zovko, 2003. "The Predictive Power of Zero Intelligence in Financial Markets," Papers cond-mat/0309233, arXiv.org, revised Feb 2004.
  4. GIRAITIS, Liudas & KOKOSZKA, Piotr & LEIPUS, Remigijus & TEYSSIÈRE, Gilles, . "Rescaled variance and related tests for long memory in volatility and levels," CORE Discussion Papers RP -1594, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. William R. Parke, 1999. "What Is Fractional Integration?," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 632-638, November.
  6. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
  7. Chiarella, C. & Iori, G. & Perello, J., 2008. "The Impact of Heterogeneous Trading Rules on the Limit Order Book and Order Flows," Working Papers 08/04, Department of Economics, City University London.
  8. Ding, Zhuanxin & Granger, Clive W. J. & Engle, Robert F., 1993. "A long memory property of stock market returns and a new model," Journal of Empirical Finance, Elsevier, vol. 1(1), pages 83-106, June.
  9. Szabolcs Mike & J. Doyne Farmer, 2007. "An empirical behavioral model of liquidity and volatility," Papers 0709.0159, arXiv.org.
  10. Ronald L. Goettler & Christine A. Parlour & Uday Rajan, 2005. "Equilibrium in a Dynamic Limit Order Market," Journal of Finance, American Finance Association, vol. 60(5), pages 2149-2192, October.
  11. Baillie, Richard T. & Bollerslev, Tim & Mikkelsen, Hans Ole, 1996. "Fractionally integrated generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 74(1), pages 3-30, September.
  12. LeBaron, Blake & Yamamoto, Ryuichi, 2007. "Long-memory in an order-driven market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 85-89.
  13. Domowitz, Ian & Wang, Jianxin, 1994. "Auctions as algorithms : Computerized trade execution and price discovery," Journal of Economic Dynamics and Control, Elsevier, vol. 18(1), pages 29-60, January.
  14. Dan Ladley & Klaus Reiner Schenk-Hoppe, 2007. "Do Stylised Facts of Order Book Markets Need Strategic Behaviour?," Swiss Finance Institute Research Paper Series 07-20, Swiss Finance Institute.
  15. Granger, C. W. J., 1980. "Long memory relationships and the aggregation of dynamic models," Journal of Econometrics, Elsevier, vol. 14(2), pages 227-238, October.
  16. Vriend, Nicolaas J., 2000. "An illustration of the essential difference between individual and social learning, and its consequences for computational analyses," Journal of Economic Dynamics and Control, Elsevier, vol. 24(1), pages 1-19, January.
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Citations

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Cited by:
  1. Bence Toth & Imon Palit & Fabrizio Lillo & J. Doyne Farmer, 2011. "Why is order flow so persistent?," Papers 1108.1632, arXiv.org.
  2. Gabriel Bobeica & Elena Bojesteanu, 2008. "Long Memory in Volatility. An Investigation on the Central and Eastern European Exchange Rates," European Research Studies Journal, European Research Studies Journal, vol. 0(4), pages 7-18.
  3. Yamamoto, Ryuichi, 2011. "Order aggressiveness, pre-trade transparency, and long memory in an order-driven market," Journal of Economic Dynamics and Control, Elsevier, vol. 35(11), pages 1938-1963.
  4. Iori, G. & Tedeschi, G., 2010. "Herding effects in order driven markets: The rise and fall of gurus," Working Papers 10/05, Department of Economics, City University London.
  5. Ryuichi Yamamoto, 2011. "Volatility clustering and herding agents: does it matter what they observe?," Journal of Economic Interaction and Coordination, Springer, vol. 6(1), pages 41-59, May.

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