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.
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Bibliographic InfoArticle provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.
Volume (Year): 392 (2013)
Issue (Month): 4 ()
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Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/
Heterogeneous agent models; Imitation; Innovation; Memory; Stability;
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- Boyan Jovanovic & Glenn MacDonald, 1993.
"The Life-Cycle of a Competitive Industry,"
NBER Working Papers
4441, National Bureau of Economic Research, Inc.
- 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.
- Seppo Honkapohja & Kaushik Mitra, . "Learning with Bounded Memory in Stochastic Models," Discussion Papers 00/42, Department of Economics, University of York.
- 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.
- 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.
- Hommes, Cars & Kiseleva, Tatiana & Kuznetsov, Yuri & Verbic, Miroslav, 2012. "Is More Memory In Evolutionary Selection (De)Stabilizing?," Macroeconomic Dynamics, Cambridge University Press, vol. 16(03), pages 335-357, June.
- Constantino Tsallis & Celia Anteneodo & Lisa Borland & Roberto Osorio, 2003. "Nonextensive statistical mechanics and economics," Papers cond-mat/0301307, arXiv.org.
- 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.
- Brock, W.A., 1995.
"A Rational Route to Randomness,"
9530, Wisconsin Madison - Social Systems.
- 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.
- 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.
- Holmes, James M. & Manning, Richard, 1988. "Memory and market stability : The case of the cobweb," Economics Letters, Elsevier, vol. 28(1), pages 1-7.
- 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.
- Jiri Kukacka & Jozef Barunik, 2012.
"Behavioural breaks in the heterogeneous agent model: the impact of herding, overconfidence, and market sentiment,"
1205.3763, arXiv.org, revised May 2013.
- 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.
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