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On the complicated price dynamics of a simple one-dimensional discontinuous financial market model with heterogeneous interacting traders

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Author Info

  • Fabio Tramontana

    ()
    (Department of Economics, University of Ancona, Italy)

  • Frank Westerhoff

    ()
    (University of Bamberg)

  • Laura Gardini

    ()
    (Department of Economics and Quantitative Methods, University of Urbino, Italy)

Abstract

We develop a financial market model with heterogeneous interacting agents: market makers adjust prices with respect to excess demand, chartists believe in the persistence of bull and bear markets and fundamentalists bet on mean reversion. Moreover, speculators trade asymmetrically in over and undervalued markets and while some of them determine the size of their orders via linear trading rules others always trade the same amount of assets. The dynamics of our model is driven by a one-dimensional discontinuous map. Despite the simplicity of our model, analytical, graphical and numerical analysis reveals a surprisingly rich set of interesting dynamical behaviors.

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File URL: http://www.econ.uniurb.it/RePEc/urb/wpaper/WP_10_05.pdf
File Function: First version, 2010
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Bibliographic Info

Paper provided by University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini in its series Working Papers with number 1005.

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Length: 38 pages
Date of creation: 2010
Date of revision: 2010
Handle: RePEc:urb:wpaper:10_05

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Web page: http://www.econ.uniurb.it/
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Related research

Keywords: Financial markets; heterogeneous agents; technical and fundamental analysis; nonlinear dynamics; discontinuous map; bifurcation analysis.;

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References

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  1. Hommes, Cars H. & Nusse, Helena E. & Simonovits, Andras, 1995. "Cycles and chaos in a socialist economy," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 155-179.
  2. repec:att:wimass:9621 is not listed on IDEAS
  3. Carl Chiarella & Roberto Dieci & Laura Gardini, 2005. "The Dynamic Interaction of Speculation and Diversification," Applied Mathematical Finance, Taylor & Francis Journals, vol. 12(1), pages 17-52.
  4. Zhu, Mei & Chiarella, Carl & He, Xue-Zhong & Wang, Duo, 2009. "Does the market maker stabilize the market?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(15), pages 3164-3180.
  5. Day, R. & Huang, W., 1988. "Bulls, Bears And Market Sheep," Papers m8822, Southern California - Department of Economics.
  6. Tramontana, F. & Gardini, L. & Ferri, P., 2010. "The dynamics of the NAIRU model with two switching regimes," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 681-695, April.
  7. LeBaron, Blake, 2006. "Agent-based Computational Finance," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 24, pages 1187-1233 Elsevier.
  8. Lukas Menkhoff & Mark P. Taylor, 2007. "The Obstinate Passion of Foreign Exchange Professionals: Technical Analysis," Journal of Economic Literature, American Economic Association, vol. 45(4), pages 936-972, December.
  9. Xue-Zhong He & Frank H. Westerhoff, 2004. "Commodity Markets, Price Limiters and Speculative Price Dynamics," Research Paper Series 136, Quantitative Finance Research Centre, University of Technology, Sydney.
  10. Laura Gardini & Cars Hommes & Fabio Tramontana & Robin de Vilder, 2008. "Forward and Backward Dynamics in Implicitly Defined Overlapping Generations Models," Working Papers 0806, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2008.
  11. Brock, William A. & Hommes, Cars H., 1998. "Heterogeneous beliefs and routes to chaos in a simple asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1235-1274, August.
  12. J. Doyne Farmer & Shareen Joshi, 2000. "The price dynamics of common trading strategies," Papers cond-mat/0012419, arXiv.org.
  13. Lux, Thomas, 1998. "The socio-economic dynamics of speculative markets: interacting agents, chaos, and the fat tails of return distributions," Journal of Economic Behavior & Organization, Elsevier, vol. 33(2), pages 143-165, January.
  14. Bohm, Volker & Kaas, Leo, 2000. "Differential savings, factor shares, and endogenous growth cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 965-980, June.
  15. Day, Richard H. & Shafer, Wayne, 1987. "Ergodic fluctuations in deterministic economic models," Journal of Economic Behavior & Organization, Elsevier, vol. 8(3), pages 339-361, September.
  16. Xue-Zhong He & Youwei Li, 2008. "Heterogeneity, convergence, and autocorrelations," Quantitative Finance, Taylor & Francis Journals, vol. 8(1), pages 59-79.
  17. Carl Chiarella, 1992. "The Dynamics of Speculative Behaviour," Working Paper Series 13, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
  18. Boswijk, H.P. & Hommes C.H. & Manzan, S., 2005. "Behavioral Heterogeneity in Stock Prices," CeNDEF Working Papers 05-12, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  19. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2008. "Heterogeneity, Market Mechanisms, and Asset Price Dynamics," Research Paper Series 231, Quantitative Finance Research Centre, University of Technology, Sydney.
  20. Westerhoff, Frank H., 2004. "Multiasset Market Dynamics," Macroeconomic Dynamics, Cambridge University Press, vol. 8(05), pages 596-616, November.
  21. Day, Richard H. & Pianigiani, Giulio, 1991. "Statistical dynamics and economics," Journal of Economic Behavior & Organization, Elsevier, vol. 16(1-2), pages 37-83, July.
  22. Chiarella, Carl & Dieci, Roberto & Gardini, Laura, 2002. "Speculative behaviour and complex asset price dynamics: a global analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 49(2), pages 173-197, October.
  23. Day, Richard H, 1982. "Irregular Growth Cycles," American Economic Review, American Economic Association, vol. 72(3), pages 406-14, June.
  24. Frank Westerhoff, 2004. "The effectiveness of Keynes-Tobin transaction taxes when heterogeneous agents can trade in different markets: A behavioral finance approach," Computing in Economics and Finance 2004 14, Society for Computational Economics.
  25. Cars Hommes & Joep Sonnemans & Jan Tuinstra & Henk van de Velden, 2003. "Coordination of Expectations in Asset Pricing Experiments," Tinbergen Institute Discussion Papers 03-010/1, Tinbergen Institute.
  26. Smith, Vernon L & Suchanek, Gerry L & Williams, Arlington W, 1988. "Bubbles, Crashes, and Endogenous Expectations in Experimental Spot Asset Markets," Econometrica, Econometric Society, vol. 56(5), pages 1119-51, September.
  27. Day, Richard H. & Pianigiani, Giulio, 1991. "Statistical Dynamics and Economics," Working Paper Series 293, Research Institute of Industrial Economics.
  28. Franke, Reiner, 2010. "On the specification of noise in two agent-based asset pricing models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(6), pages 1140-1152, June.
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Citations

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Cited by:
  1. Dick, Christian D. & Menkhoff, Lukas, 2013. "Exchange rate expectations of chartists and fundamentalists," Journal of Economic Dynamics and Control, Elsevier, vol. 37(7), pages 1362-1383.
  2. Schmitt, Noemi & Westerhoff, Frank, 2013. "Speculative behavior and the dynamics of interacting stock markets," BERG Working Paper Series 90, Bamberg University, Bamberg Economic Research Group.
  3. Tramontana, Fabio & Westerhoff, Frank & Gardini, Laura, 2012. "The bull and bear market model of Huang and Day : Some extensions and new results," BERG Working Paper Series 89, Bamberg University, Bamberg Economic Research Group.
  4. Fabio Tramontana & Frank Westerhoff & Laura Gardini, 2011. "A simple financial market model with chartists and fundamentalists: market entry levels and discontinuities," Quaderni di Dipartimento 150, University of Pavia, Department of Economics and Quantitative Methods.
  5. Nicolau, Mihaela, 2010. "Practitioners' tools in analysing financial markets evolution," MPRA Paper 25646, University Library of Munich, Germany.
  6. Ingrid Kubin & Laura Gardini, 2013. "Border collision bifurcations in boom and bust cycles," Journal of Evolutionary Economics, Springer, vol. 23(4), pages 811-829, September.
  7. Huang, Weihong & Zheng, Huanhuan, 2012. "Financial crises and regime-dependent dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 82(2), pages 445-461.
  8. Fabio Tramontana & Frank Westerhoff & Laura Gardini, 2014. "One-dimensional maps with two discontinuity points and three linear branches: mathematical lessons for understanding the dynamics of financial markets," Decisions in Economics and Finance, Springer, vol. 37(1), pages 27-51, April.
  9. Weihong Huang & Huanhuan Zheng & Wai-Mun Chia, 2013. "Asymmetric returns, gradual bubbles and sudden crashes," The European Journal of Finance, Taylor & Francis Journals, vol. 19(5), pages 420-437, May.
  10. Dieci, Roberto & Westerhoff, Frank, 2009. "A simple model of a speculative housing market," BERG Working Paper Series 62, Bamberg University, Bamberg Economic Research Group.
  11. Fabio Tramontana & Laura Gardini & Frank Westerhoff, 2011. "Heterogeneous Speculators and Asset Price Dynamics: Further Results from a One-Dimensional Discontinuous Piecewise-Linear Map," Computational Economics, Society for Computational Economics, vol. 38(3), pages 329-347, October.
  12. Fabio Dercole & Davide Radi, 2014. "Does the "uptick rule" stabilize the stock market? Insights from Adaptive Rational Equilibrium Dynamics," Papers 1405.7747, arXiv.org.

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