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The Emergence of Bull and Bear Dynamics in a Nonlinear Model of Interacting Markets

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  • Fabio Tramontana
  • Laura Gardini
  • Roberto Dieci
  • Frank Westerhoff

Abstract

We develop a three-dimensional nonlinear dynamic model in which the stock markets of two countries are linked through the foreign exchange market. Connections are due to the trading activity of heterogeneous speculators. Using analytical and numerical tools, we seek to explore how the coupling of the markets may affect the emergence of bull and bear market dynamics. The dimension of the model can be reduced by restricting investors' trading activity, which enables the dynamic analysis to be performed stepwise, from low-dimensional cases up to the full three-dimensional model. In our paper we focus mainly on the dynamics of the one- and two- dimensional cases, with numerical experiments and some analytical results, and also show that the main features persist in the three-dimensional model.

Suggested Citation

  • Fabio Tramontana & Laura Gardini & Roberto Dieci & Frank Westerhoff, 2009. "The Emergence of Bull and Bear Dynamics in a Nonlinear Model of Interacting Markets," Discrete Dynamics in Nature and Society, Hindawi, vol. 2009, pages 1-30, July.
    • Handle: RePEc:hin:jnddns:310471
    DOI: 10.1155/2009/310471
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    References listed on IDEAS

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    Cited by:

    1. Westerhoff, Frank, 2011. "Interactions between the real economy and the stock market," BERG Working Paper Series 84, Bamberg University, Bamberg Economic Research Group.
    2. Jungeilges, Jochen & Maklakova, Elena & Perevalova, Tatyana, 2021. "Asset price dynamics in a “bull and bear market”," Structural Change and Economic Dynamics, Elsevier, vol. 56(C), pages 117-128.
    3. Majewski, Adam A. & Ciliberti, Stefano & Bouchaud, Jean-Philippe, 2020. "Co-existence of trend and value in financial markets: Estimating an extended Chiarella model," Journal of Economic Dynamics and Control, Elsevier, vol. 112(C).
    4. Jochen Jungeilges & Elena Maklakova & Tatyana Perevalova, 2022. "Stochastic sensitivity of bull and bear states," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 165-190, January.
    5. Serena Brianzoni & Giovanni Campisi & Graziella Pacelli, 2023. "Coexisting Attractors in a Heterogeneous Agent Model in Discrete Time," Mathematics, MDPI, vol. 11(10), pages 1-12, May.

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