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E&F Chaos: A User Friendly Software Package for Nonlinear Economic Dynamics

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Author Info

  • Cees Diks

    ()

  • Cars Hommes

    ()

  • Valentyn Panchenko

    ()

  • Roy Weide

    ()

Abstract

The use of nonlinear dynamic models in economics and finance has expanded rapidly in the last two decades. Numerical simulation is crucial in the investigation of nonlinear systems. E&F Chaos is an easy-to-use and freely available software package for simulation of nonlinear dynamic models to investigate stability of steady states and the presence of periodic orbits and chaos by standard numerical simulation techniques such as time series, phase plots, bifurcation diagrams, Lyapunov exponent plots, basin boundary plots and graphical analysis. The package contains many well-known nonlinear models, including applications in economics and finance, and is easy to use for non-specialists. New models and extensions or variations are easy to implement within the software package without the use of a compiler or other software. The software is demonstrated by investigating the dynamical behavior of some simple examples of the familiar cobweb model, including an extension with heterogeneous agents and asynchronous updating of strategies. Simulations with the E&F chaos software quickly provide information about local and global dynamics and easily lead to challenging questions for further mathematical analysis.

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Bibliographic Info

Article provided by Society for Computational Economics in its journal Computational Economics.

Volume (Year): 32 (2008)
Issue (Month): 1 (September)
Pages: 221-244

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Handle: RePEc:kap:compec:v:32:y:2008:i:1:p:221-244

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Web page: http://www.springerlink.com/link.asp?id=100248
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Related research

Keywords: Nonlinear dynamics; Simulation software; Heterogeneous agents; C60; E37; G10;

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References

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  1. Brock, W.A. & Hommes, C.H., 1996. "A Rational Route to Randomness," Working papers 9530r, Wisconsin Madison - Social Systems.
  2. Hommes, Cars H., 2006. "Heterogeneous Agent Models in Economics and Finance," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186 Elsevier.
  3. Hommes, Cars H., 1994. "Dynamics of the cobweb model with adaptive expectations and nonlinear supply and demand," Journal of Economic Behavior & Organization, Elsevier, vol. 24(3), pages 315-335, August.
  4. Grandmont Jean-michel, 1983. "On endogenous competitive business cycles," CEPREMAP Working Papers (Couverture Orange) 8316, CEPREMAP.
  5. Tesfatsion, Leigh & Judd, Kenneth L., 2006. "Handbook of Computational Economics, Vol. 2: Agent-Based Computational Economics," Staff General Research Papers 10368, Iowa State University, Department of Economics.
  6. 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.
  7. Diks, C.G.H. & Weide, R. van der, 2003. "Herding, A-synchronous Updating and Heterogeneity in Memory in a CBS," CeNDEF Working Papers 03-06, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  8. 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.
  9. Jeff Racine, 2006. "gnuplot 4.0: a portable interactive plotting utility," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(1), pages 133-141.
  10. Medio,Alfredo & Gallo,Giampaolo, 1995. "Chaotic Dynamics," Cambridge Books, Cambridge University Press, number 9780521484619, April.
  11. Chiarella, Carl, 1988. "The cobweb model: Its instability and the onset of chaos," Economic Modelling, Elsevier, vol. 5(4), pages 377-384, October.
  12. Michele Boldrin & Michael Woodford, 1988. "Equilibruim Models Displaying Endogenous Fluctuations and Chaos: A Survey," UCLA Economics Working Papers 530, UCLA Department of Economics.
  13. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521551861, April.
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Cited by:
  1. Prettner, Klaus, 2012. "Public education and economic prosperity: Semi-endogenous growth revisited," ECON WPS - Vienna University of Technology Working Papers in Economic Theory and Policy 02/2012, Vienna University of Technology, Institute for Mathematical Methods in Economics, Research Group Economics (ECON).
  2. Valentyn Panchenko & Sergiy Gerasymchuk & Oleg V. Pavlov, 2013. "Asset Price Dynamics with Heterogeneous Beliefs and Local Network Interactions," Discussion Papers 2013-18, School of Economics, The University of New South Wales.
  3. Klaus Prettner, 2012. "Public education, technological change and economic prosperity: semi-endogenous growth revisited," PGDA Working Papers 9012, Program on the Global Demography of Aging.
  4. Xin, Baogui & Chen, Tong, 2011. "On a master-slave Bertrand game model," Economic Modelling, Elsevier, vol. 28(4), pages 1864-1870, July.
  5. P. Luizi & F. Cruz & J. Graaf, 2010. "Assessing the Quality of Pseudo-Random Number Generators," Computational Economics, Society for Computational Economics, vol. 36(1), pages 57-67, June.
  6. Luis-Felipe Zanna & Marco Airaudo, 2012. "Interest Rate Rules, Endogenous Cycles, and Chaotic Dynamics in Open Economies," IMF Working Papers 12/121, International Monetary Fund.
  7. Bask, Mikael, 2007. "Long swings and chaos in the exchange rate in a DSGE model with a Taylor rule," Research Discussion Papers 19/2007, Bank of Finland.
  8. Choudhary, M. Ali & Michael Orszag, J., 2008. "A cobweb model with local externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 32(3), pages 821-847, March.
  9. Waters, George A., 2009. "Chaos in the cobweb model with a new learning dynamic," Journal of Economic Dynamics and Control, Elsevier, vol. 33(6), pages 1201-1216, June.
  10. Peter Flaschel & Florian Hartmann & Chris Malikane & Christian R. Proaño, 2014. "A Behavioral Macroeconomic Model of Exchange Rate Fluctuations with Complex Market Expectations Formation," Working Papers 98, Institute of Empirical Economic Research, revised 29 Jan 2014.

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