Bubbles and crashes: Gradient dynamics in financial markets
AbstractFund managers respond to the payoff gradient by continuously adjusting leverage in our analytic and simulation models. The base model has a stable equilibrium with classic properties. However, bubbles and crashes occur in extended models incorporating an endogenous market risk premium based on investors' historical losses and constant-gain learning. When losses have been small for a long time, asset prices inflate as fund managers increase leverage. Then slight losses can trigger a crash, as a widening risk premium accelerates deleveraging and asset price declines.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Dynamics and Control.
Volume (Year): 33 (2009)
Issue (Month): 4 (April)
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Web page: http://www.elsevier.com/locate/jedc
Bubbles Escape dynamics Time varying risk premium Constant-gain learning Agent-based models;
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- De Long, J Bradford, et al, 1990.
" Positive Feedback Investment Strategies and Destabilizing Rational Speculation,"
Journal of Finance,
American Finance Association, vol. 45(2), pages 379-95, June.
- J. Bradford De Long & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1989. "Positive Feedback Investment Strategies and Destabilizing Rational Speculation," NBER Working Papers 2880, National Bureau of Economic Research, Inc.
- Cho, In-Koo & Williams, Noah & Sargent, Thomas J, 2002.
"Escaping Nash Inflation,"
Review of Economic Studies,
Wiley Blackwell, vol. 69(1), pages 1-40, January.
- de Fontnouvelle, Patrick, 2000. "Information Dynamics In Financial Markets," Macroeconomic Dynamics, Cambridge University Press, vol. 4(02), pages 139-169, June.
- 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
- Cars H. Hommes, 2005. "Heterogeneous Agent Models in Economics and Finance," Tinbergen Institute Discussion Papers 05-056/1, Tinbergen Institute.
- Cheung, Yin-Wong & Friedman, Daniel, 1997. "Individual Learning in Normal Form Games: Some Laboratory Results," Games and Economic Behavior, Elsevier, vol. 19(1), pages 46-76, April.
- Nicolas P. B. Bollen, 2005. "Short-Term Persistence in Mutual Fund Performance," Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 569-597.
- Chevalier, Judith & Ellison, Glenn, 1997.
"Risk Taking by Mutual Funds as a Response to Incentives,"
Journal of Political Economy,
University of Chicago Press, vol. 105(6), pages 1167-1200, December.
- Chevalier, J. & Ellison, G., 1996. "Risk Taking by Mutual Funds as a Response to Incentives," Working papers 96-3, Massachusetts Institute of Technology (MIT), Department of Economics.
- Judith A. Chevalier & Glenn D. Ellison, 1995. "Risk Taking by Mutual Funds as a Response to Incentives," NBER Working Papers 5234, National Bureau of Economic Research, Inc.
- Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993.
"Learning, Mutation, and Long Run Equilibria in Games,"
Econometric Society, vol. 61(1), pages 29-56, January.
- M. Kandori & G. Mailath & R. Rob, 1999. "Learning, Mutation and Long Run Equilibria in Games," Levine's Working Paper Archive 500, David K. Levine.
- Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
- Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-81, September.
- Sonnenschein, Hugo, 1982. "Price Dynamics Based on the Adjustment of Firms," American Economic Review, American Economic Association, vol. 72(5), pages 1088-96, December.
- Youssefmir, Michael & Huberman, Bernardo A & Hogg, Tad, 1998. "Bubbles and Market Crashes," Computational Economics, Society for Computational Economics, vol. 12(2), pages 97-114, October.
- Karceski, Jason, 2002. "Returns-Chasing Behavior, Mutual Funds, and Beta's Death," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(04), pages 559-594, December.
- Friedman, Daniel & Ostrov, Daniel N., 2008. "Conspicuous consumption dynamics," Games and Economic Behavior, Elsevier, vol. 64(1), pages 121-145, September.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Drew Fudenberg & David K. Levine, 1996.
"The Theory of Learning in Games,"
Levine's Working Paper Archive
624, David K. Levine.
- Stephen F. Le Roy, 2004. "Rational Exuberance," Journal of Economic Literature, American Economic Association, vol. 42(3), pages 783-804, September.
- 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.
- Brock, William A. & Hommes, Cars H. & Wagener, Florian O. O., 2005.
"Evolutionary dynamics in markets with many trader types,"
Journal of Mathematical Economics,
Elsevier, vol. 41(1-2), pages 7-42, February.
- Brock, W.A. & Hommes, C.H. & Wagener, F.O.O., 2002. "Evolutionary dynamics in markets with many trader types," CeNDEF Working Papers 02-10, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Erik R. Sirri & Peter Tufano, 1998. "Costly Search and Mutual Fund Flows," Journal of Finance, American Finance Association, vol. 53(5), pages 1589-1622, October.
- Levy, H & Markowtiz, H M, 1979. "Approximating Expected Utility by a Function of Mean and Variance," American Economic Review, American Economic Association, vol. 69(3), pages 308-17, June.
- William Poole, 2002. "Flation," Speech 49, Federal Reserve Bank of St. Louis.
- repec:att:wimass:9621 is not listed on IDEAS
- Brock, William A. & Hommes, Cars H., 1998.
"Heterogeneous beliefs and routes to chaos in a simple asset pricing model,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 22(8-9), pages 1235-1274, August.
- Joseph Chen & Harrison Hong & Ming Huang & Jeffrey D. Kubik, 2004. "Does Fund Size Erode Mutual Fund Performance? The Role of Liquidity and Organization," American Economic Review, American Economic Association, vol. 94(5), pages 1276-1302, December.
- Egenter, E. & Lux, T. & Stauffer, D., 1999. "Finite-size effects in Monte Carlo simulations of two stock market models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 268(1), pages 250-256.
- Friedman, Daniel & Ostrov, Daniel N., 2013. "Evolutionary dynamics over continuous action spaces for population games that arise from symmetric two-player games," Journal of Economic Theory, Elsevier, vol. 148(2), pages 743-777.
- Bischi, Gian Italo & Lamantia, Fabio, 2012.
"A dynamic model of oligopoly with R&D externalities along networks. Part I,"
Mathematics and Computers in Simulation (MATCOM),
Elsevier, vol. 84(C), pages 51-65.
- Italo Bischi, Gian & Lamantia, Fabio, 2012. "A dynamic model of oligopoly with R&D externalities along networks. Part II," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 84(C), pages 66-82.
- Li, Minqiang, 2010.
"A damped diffusion framework for financial modeling and closed-form maximum likelihood estimation,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 34(2), pages 132-157, February.
- Li, Minqiang, 2008. "A Damped Diffusion Framework for Financial Modeling and Closed-form Maximum Likelihood Estimation," MPRA Paper 11185, University Library of Munich, Germany.
- Feldman, Todd, 2010. "Portfolio manager behavior and global financial crises," Journal of Economic Behavior & Organization, Elsevier, vol. 75(2), pages 192-202, August.
- Feldman, Todd, 2011. "Leverage regulation: An agent-based simulation," Journal of Economics and Business, Elsevier, vol. 63(5), pages 431-440, September.
- Friedman, Daniel & Isaac, R. Mark & James, Duncan & Sunder, Shyam, 2014. "Risky Curves: On the Empirical Failure of Expected Utility," Santa Cruz Department of Economics, Working Paper Series qt87v8k86z, Department of Economics, UC Santa Cruz.
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