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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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  • Tramontana, Fabio
  • Westerhoff, Frank
  • Gardini, Laura

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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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Behavior & Organization.

Volume (Year): 74 (2010)
Issue (Month): 3 (June)
Pages: 187-205

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Handle: RePEc:eee:jeborg:v:74:y:2010:i:3:p:187-205

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Keywords: Financial markets Heterogeneous agents Technical and fundamental analysis Nonlinear dynamics Discontinuous map Bifurcation analysis;

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References

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Citations

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Cited by:
  1. Tramontana, Fabio & Westerhoff, Frank & Gardini, Laura, 2013. "The bull and bear market model of Huang and Day: Some extensions and new results," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2351-2370.
  2. Dieci, Roberto & Westerhoff, Frank, 2009. "A simple model of a speculative housing market," BERG Working Paper Series 62, Bamberg University, Bamberg Economic Research Group.
  3. 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.
  4. Ingrid Kubin & Laura Gardini, 2012. " Border Collision Bifurcations in Boom and Bust Cycles," Department of Economics Working Papers wuwp137, Vienna University of Economics, Department of Economics.
  5. 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.
  6. Dick, Christian D. & Menkhoff, Lukas, 2012. "Exchange rate expectations of chartists and fundamentalists," ZEW Discussion Papers 12-026, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
  7. 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.
  8. Huang, Weihong & Zheng, Huanhuan, 2012. "Financial crises and regime-dependent dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 82(2), pages 445-461.
  9. 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.
  10. Mihaela Nicolau, 2010. "Practitioners' Tools in Analysing Financial Markets Evolution," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 3(3), pages 83-104, August.
  11. 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.
  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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