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Heterogeneous Fundamentalists and Imitative Processes

  • Ahmad Naimzada


    (Department of Economics, University of Milan-Bicocca)

  • Giorgio Ricchiuti


    (Department of Economics, University of Florence)

Developing a model with a switching mechanism, we show how complex dynamics can be generated even though heterogeneity arises among agents with the same trading rules (fundamentalists). We assume that there are two experts which are imitated by other operators. We show that (i) market instability and periodic, or even, chaotic price fluctuations can be generated; (ii) conditions exist under which an expert can drive another expert out of the market; (iii) two experts can survive when the dynamic system either generates a period doubling bifurcation around an attractor or when an homoclinic bifurcation leads to the merging of the two attractors (i.e. Dieci et al., 2001); (iv) a central role is played by the reaction to misalignment of both market makers and agents.

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Paper provided by University of Milano-Bicocca, Department of Economics in its series Working Papers with number 104.

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Length: 16 pages
Date of creation: Nov 2006
Date of revision: Nov 2006
Handle: RePEc:mib:wpaper:104
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  1. 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.
  2. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, vol. 65(5), pages 1059-1096, September.
  3. Hommes, Cars & Huang, Hai & Wang, Duo, 2005. "A robust rational route to randomness in a simple asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 29(6), pages 1043-1072, June.
  4. Alan Kirman, 2006. "Heterogeneity in Economics," Journal of Economic Interaction and Coordination, Springer, vol. 1(1), pages 89-117, May.
  5. Day, R. & Huang, W., 1988. "Bulls, Bears And Market Sheep," Papers m8822, Southern California - Department of Economics.
  6. Ferreira, Fernando F. & de Oliveira, Viviane M. & Crepaldi, Antônio F. & Campos, Paulo R.A., 2005. "Agent-based model with heterogeneous fundamental prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 357(3), pages 534-542.
  7. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2005. "Heterogeneous Expectations and Speculative Behaviour in a Dynamic Multi-Asset Framework," Research Paper Series 166, Quantitative Finance Research Centre, University of Technology, Sydney.
  8. 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.
  9. 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.
  10. Follmer, Hans & Horst, Ulrich & Kirman, Alan, 2005. "Equilibria in financial markets with heterogeneous agents: a probabilistic perspective," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 123-155, February.
  11. Carl Chiarella, 1992. "The Dynamics of Speculative Behaviour," Working Paper Series 13, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
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