More memory under evolutionary learning may lead to chaos
We 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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Volume (Year): 392 (2013)
Issue (Month): 4 ()
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- 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.
- 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.
- Jovanovic, B. & MacDonald, G.M., 1992.
"The Life-Cycle of Competitive Industry,"
92-09, Rochester, Business - Financial Research and Policy Studies.
- Jovanovic, B. & MacDonald, G., 1993. "The Life Cycle of a Competitive Industry," Working Papers 93-34, C.V. Starr Center for Applied Economics, New York University.
- 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.
- Constantino Tsallis & Celia Anteneodo & Lisa Borland & Roberto Osorio, 2003. "Nonextensive statistical mechanics and economics," Papers cond-mat/0301307, arXiv.org.
- LeBaron, Blake, 2001.
"Evolution And Time Horizons In An Agent-Based Stock Market,"
Cambridge University Press, vol. 5(02), pages 225-254, April.
- Blake LeBaron, 1999. "Evolution and Time Horizons in an Agent-Based Stock Market," Computing in Economics and Finance 1999 1342, Society for Computational Economics.
- 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.
- 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.
- 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.
- 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.
- Kaushik Mitra & Seppo Honkapohja, 1999. "Learning with Bounded Memory in Stochastic Models," Computing in Economics and Finance 1999 221, Society for Computational Economics.
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