More memory under evolutionary learning may lead to chaos
AbstractWe show that an increase of memory of past strategy performance in a simple agent-based innovation model, with agents switching between costly innovation and cheap imitation, can be quantitatively stabilising while at the same time qualitatively destabilising. As memory in the fitness measure increases, the amplitude of price fluctuations decreases, but at the same time a bifurcation route to chaos may arise. The core mechanism leading to the chaotic behaviour in this model with strategy switching is that the map obtained for the system with memory is a convex combination of an increasing linear function and a decreasing non-linear function.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.
Volume (Year): 392 (2013)
Issue (Month): 4 ()
Contact details of provider:
Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/
Heterogeneous agent models; Imitation; Innovation; Memory; Stability;
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Honkapohja, Seppo & Mitra, Kaushik, 2003.
"Learning with bounded memory in stochastic models,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 27(8), pages 1437-1457, June.
- Seppo Honkapohja & Kaushik Mitra, . "Learning with Bounded Memory in Stochastic Models," Discussion Papers 00/42, Department of Economics, University of York.
- Kaushik Mitra & Seppo Honkapohja, 1999. "Learning with Bounded Memory in Stochastic Models," Computing in Economics and Finance 1999 221, Society for Computational Economics.
- Honkapohja, S. & Mitra, K., 1999. "Learning with Bounded Memory in Stochastic Models," University of Helsinki, Department of Economics 456, Department of Economics.
- Blake LeBaron, 1999.
"Evolution and Time Horizons in an Agent-Based Stock Market,"
Computing in Economics and Finance 1999
1342, Society for Computational Economics.
- LeBaron, Blake, 2001. "Evolution And Time Horizons In An Agent-Based Stock Market," Macroeconomic Dynamics, Cambridge University Press, vol. 5(02), pages 225-254, April.
- Hart, M & Jefferies, P & Johnson, N.F & Hui, P.M, 2001. "Crowd–anticrowd theory of the minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 298(3), pages 537-544.
- Constantino Tsallis & Celia Anteneodo & Lisa Borland & Roberto Osorio, 2003. "Nonextensive statistical mechanics and economics," Papers cond-mat/0301307, arXiv.org.
- Tsallis, Constantino & Anteneodo, Celia & Borland, Lisa & Osorio, Roberto, 2003. "Nonextensive statistical mechanics and economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 89-100.
- Jovanovic, Boyan & MacDonald, Glenn M, 1994.
"The Life Cycle of a Competitive Industry,"
Journal of Political Economy,
University of Chicago Press, vol. 102(2), pages 322-47, April.
- Jovanovic, B. & MacDonald, G.M., 1992. "The Life-Cycle of Competitive Industry," Papers 92-09, Rochester, Business - Financial Research and Policy Studies.
- Boyan Jovanovic & Glenn MacDonald, 1993. "The Life-Cycle of a Competitive Industry," NBER Working Papers 4441, National Bureau of Economic Research, Inc.
- William A. Brock & Cars H. Hommes, 1997.
"A Rational Route to Randomness,"
Econometric Society, vol. 65(5), pages 1059-1096, September.
- Hommes, Cars H., 1991. "Adaptive learning and roads to chaos : The case of the cobweb," Economics Letters, Elsevier, vol. 36(2), pages 127-132, June.
- Holmes, James M. & Manning, Richard, 1988. "Memory and market stability : The case of the cobweb," Economics Letters, Elsevier, vol. 28(1), pages 1-7.
- Hommes, Cars & Kiseleva, Tatiana & Kuznetsov, Yuri & Verbic, Miroslav, 2012.
"Is More Memory In Evolutionary Selection (De)Stabilizing?,"
Cambridge University Press, vol. 16(03), pages 335-357, June.
- Hommes, C.H. & Kiseleva, T. & Kuznetsov, Y. & Verbic, M., 2009. "Is more memory in evolutionary selection (de)stabilizing?," CeNDEF Working Papers 09-07, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Stanley, H. Eugene & Plerou, Vasiliki & Gabaix, Xavier, 2008. "A statistical physics view of financial fluctuations: Evidence for scaling and universality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3967-3981.
- Kukacka, Jiri & Barunik, Jozef, 2013.
"Behavioural breaks in the heterogeneous agent model: The impact of herding, overconfidence, and market sentiment,"
Physica A: Statistical Mechanics and its Applications,
Elsevier, vol. 392(23), pages 5920-5938.
- Jiri Kukacka & Jozef Barunik, 2012. "Behavioural breaks in the heterogeneous agent model: the impact of herding, overconfidence, and market sentiment," Papers 1205.3763, arXiv.org, revised May 2013.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.