E&F chaos: A user friendly software package for nonlinear economic dynamics

Computational Economics

Volumn 32, Issue 1-2, 2008, Pages 221-244

  Diks, Cees ^a   Hommes, Cars ^a   Panchenko, Valentyn ^b   Weide, Roy ^c  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

^c WORLD BANK   (United States)

Author keywords

Heterogeneous agents; Nonlinear dynamics; Simulation software

Indexed keywords

EID: 48949116165     PISSN: 09277099     EISSN: 15729974     Source Type: Journal    
DOI: 10.1007/s10614-008-9130-x     Document Type: Conference Paper

References (33)

1. Arrowsmith D.K., Place C.M. (1995) An introduction to dynamical systems. Cambridge University Press, Cambridge
2. Boldrin M., Woodford M. (1990) Equilibrium models displaying endogenous fluctuations and chaos: A survey. Journal of Monetary Economics 25: 189-222
3. Brock W.A., Hommes C.H. (1997) A rational route to randomness. Econometrica 65: 1059-1095
4. Brock W.A., Hsieh D.A., LeBaron B. (1991) Nonlinear dynamics, chaos and instability: Statistical theory and economic evidence. MIT Press, Cambridge
5. Chiarella C. (1988) The cobweb model: Its instability and the onset of chaos. Economic Modeling 5: 377-384
6. Day R.H. (1994) Complex economic dynamics. Volume I: An introduction to dynamical systems and market mechanisms. MIT Press, Cambridge
7. Devaney R.L. (1989) An introduction to chaotic dynamical systems (2nd ed). Addison Wesley Publication, Redwood City
8. Diks C.G.H., Weide R. (2005) Herding, a-synchronous updating and heterogeneity in memory in a CBS. Journal of Economic Dynamics and Control 29: 741-763
9. Doedel, E. J., Paffenroth, R. C., Champneys, A. R., Fairgrieve, T. F., Kuznetsov, Y. A., Oldeman, B. E., Sandstede, B., & Wang, X. J. (2001). AUTO2000: Continuation and bifurcation software for ordinary differential equations. Applied and Computational Mathematics. California Institute of Technology. http://indy.cs.concordia.ca/auto/.
10. Ezekiel M. (1938) The cobweb theorem. Quarterly Journal of Economics 52: 255-280
11. Grandmont J.-M. (1985) On endogenous competitive business cycles. Econometrica 53: 995-1046
12. Grandmont, J.-M. (1988). Nonlinear difference equations, bifurcations and chaos: An introduction. CEPREMAP Working Paper No 8811, June 1988.
13. Guckenheimer J., Holmes P. (1983) Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Springer Verlag, New York
14. Hommes, C. H. (1991). Chaotic dynamics in economic models. Some simple case-studies. Groningen Theses in Economics, Management & Organization, Wolters-Noordhoff, Groningen.
15. Hommes C.H. (1994) Dynamics of the cobweb model with adaptive expectations and nonlinear supply and demand. Journal of Economic Behavior & Organization 24: 315-335
16. Hommes, C. H. (2006). Heterogeneous agent models in economics and finance, In L. Tesfatsion & K. L. Judd (eds.), Handbook of computational economics, volume 2: Agent-based computational economics (pp. 1109-1186). Amsterdam: North-Holland, Chap. 23.
17. Hommes C.H., Huang H., Wang D. (2005) A robust rational route to randomness in a simple asset pricing model. Journal of Economic Dynamics and Control 29: 1043-1072
18. Huberman B.A., Glance N.S. (1993) Evolutionary games and computer simulations. Proceedings of the National Academy of Sciences of the United States of America 90: 7716-7718
19. Kuznetsov Y. (1995) Elements of applied bifurcation theory. Springer Verlag, New York
20. LeBaron, B. (2006), Agent-based computational finance. In L. Tesfatsion & K. L. Judd (eds.), Handbook of computational economics, volume 2: Agent-based computational economics (pp. 1187-1233). Amsterdam: North-Holland, Chap. 24.
21. Li T.Y., Yorke J.A. (1975) Period three implies chaos. American Mathematical Monthly 82: 985-992
22. Medio A. (1992) Chaotic dynamics. Theory and applications to economics. Cambridge University Press, Cambridge
23. Medio A., Lines M. (2001) Nonlinear dynamics: A primer. Cambridge University Press, Cambridge
24. Mira C., Gardini L., Barugola A., Cathala J.-C. (1996) Chaotic dynamics in two-dimensional noninvertible maps. World Scientific, Singapore
25. Muth J.F. (1961) Rational expectations and the theory of price movements. Econometrica 29: 315-335
26. Nerlove M. (1958) Adaptive expectations and cobweb phenomena. Quarterly Journal of Economics 72: 227-240
27. Nowak M., May R.M. (1992) Evolutionary games and spatial chaos. Nature 359: 826-929
28. Nowak M., Bonhoeffer S., May R.M. (1992) Spatial and the maintainance of cooperation. Proceedings of the National Academy of Sciences of the United States of America 91: 4877-4881
29. Nusse, H. E., & Yorke, J. A. (1998). Dynamics: Numerical explorations (2nd ed.). Applied Mathematical Sciences (Vol. 101). Springer-Verlag.
30. Palis J., Takens F. (1993) Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations. Cambridge University Press, Cambridge
31. Racine J. (2006) gnuplot 4.0: A portable interactive plotting utility. Journal of Applied Econometrics 21: 133-141
32. Rosser J.B. (2000) From catastrophe to chaos: A general theory of economic discontinuities. Kluwer, Boston
33. Wolf A., Swift J.B., Swinney L., Vastano J.A. (1985) Determining Lyapunov exponents from a time series. Physica D 16: 285-317