The Instability of a Heterogeneous Cobweb economy: a Strategy Experiment on Expectation Formation
Which strategies do agents use when forming expectations about future prices, and how often do combinations of these strategies lead to stable or unstable outcomes? To answer these questions we performed a four-round strategy experiment in a cobweb economy. Each market consisted of 20 periods and in each period strategies had to forecast next period's price. It was common knowledge that the realized market price was a function of all individual expectations, but subjects did not know the underlying market equilibrium equations. Subjects gained experience in a 'normal' experiment before submitting their first strategy. All strategies were programmed and after each round the subjects received feedback about the relative performance of their strategy, and were allowed to revise their strategy for the next round. Subjects use a wide variety of different strategies. Over the rounds quadratic forecasting errors decrease and realized market prices move to a neighborhood of the rational expectations (RE) steady state, but at the same time the complexity of the price fluctuations increases. Convergence to the unique RE steady state occurs in less than 10% of all cases. In the final round 60% of the price fluctuations appears to be chaotic. Strategy simulations with homogeneous agents typically show regular behaviour, with prices converging to a steady state or to a 'far from the steady state' stable cycle. Heterogeneous interaction of simple prediction strategies thus seems to be the main source of the endogenous price fluctuations, frequently leading to a boundedly rational equilibrium of 'close to the steady state chaos'.
|Date of creation:||1999|
|Date of revision:|
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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.:
- Lux, Thomas, 1995. "Herd Behaviour, Bubbles and Crashes," Economic Journal, Royal Economic Society, vol. 105(431), pages 881-96, July.
- Frankel, Jeff & Froot, Ken, 1986.
"Using Survey Data to Test Standard Propositions Regarding Exchange Rate Expectations,"
Department of Economics, Working Paper Series
qt1972q8wm, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Frankel, Jeffrey A & Froot, Kenneth A, 1987. "Using Survey Data to Test Standard Propositions Regarding Exchange Rate Expectations," American Economic Review, American Economic Association, vol. 77(1), pages 133-53, March.
- Ramon Marimon & Shyam Sunder, 1993.
"Indeterminacy of equilibria in a hyperinflationary world: Experimental evidence,"
Economics Working Papers
25, Department of Economics and Business, Universitat Pompeu Fabra.
- Marimon, Ramon & Sunder, Shyam, 1993. "Indeterminacy of Equilibria in a Hyperinflationary World: Experimental Evidence," Econometrica, Econometric Society, vol. 61(5), pages 1073-107, September.
- Offerman, Theo & Potters, Jan & Verbon, Harrie A. A., 2001.
"Cooperation in an Overlapping Generations Experiment,"
Games and Economic Behavior,
Elsevier, vol. 36(2), pages 264-275, August.
- Offerman, T.J.S. & Potters, J.J.M. & Verbon, H.A.A., 2001. "Cooperation in an overlapping generations experiment," Other publications TiSEM 879611c7-4050-4262-b6e9-6, Tilburg University, School of Economics and Management.
- Arifovic, Jasmina, 1994. "Genetic algorithm learning and the cobweb model," Journal of Economic Dynamics and Control, Elsevier, vol. 18(1), pages 3-28, January.
- Topol, Richard, 1991. "Bubbles and Volatility of Stock Prices: Effect of Mimetic Contagion," Economic Journal, Royal Economic Society, vol. 101(407), pages 786-800, July.
- Jeffrey A. Frankel & Kenneth A. Froot, 1985. "Using Survey Data to Test Some Standard Propositions Regarding Exchange Rate Expectations," NBER Working Papers 1672, National Bureau of Economic Research, Inc.
- Hommes, C.H. & Sonnemans, J. & Tuinstra, J. & van de Velden, H., 1999. "Expectation Driven Price Volatility in an Experimental Cobweb Economy," CeNDEF Working Papers 99-07, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Drew Fudenberg & David K. Levine, 1998.
"The Theory of Learning in Games,"
MIT Press Books,
The MIT Press,
edition 1, volume 1, number 0262061945, June.
- Hommes, C.H., 1999. "Cobweb Dynamics under Bounded Rationality," CeNDEF Working Papers 99-05, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- De Long, J Bradford & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1990.
"Noise Trader Risk in Financial Markets,"
Journal of Political Economy,
University of Chicago Press, vol. 98(4), pages 703-38, August.
- J. Bradford De Long & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, . "Noise Trader Risk in Financial Markets," J. Bradford De Long's Working Papers _124, University of California at Berkeley, Economics Department.
- De Long, J. Bradford & Shleifer, Andrei & Summers, Lawrence H. & Waldmann, Robert J., 1990. "Noise Trader Risk in Financial Markets," Scholarly Articles 3725552, Harvard University Department of Economics.
- Reinhard Selten & Michael Mitzkewitz & Gerald R. Uhlich, 1997.
"Duopoly Strategies Programmed by Experienced Players,"
Econometric Society, vol. 65(3), pages 517-556, May.
- Selten,Reinhard & Mitzkewitz,Michael & Uhlich,Gerald, . "Duopoly strategies programmed by experienced players," Discussion Paper Serie B 106, University of Bonn, Germany.
- repec:att:wimass:9530 is not listed on IDEAS
- Robert J. Shiller, 1999.
"Measuring Bubble Expectations and Investor Confidence,"
NBER Working Papers
7008, National Bureau of Economic Research, Inc.
- Robert J. Shiller, 1999. "Measuring Bubble Expectations and Investor Confidence," Cowles Foundation Discussion Papers 1212, Cowles Foundation for Research in Economics, Yale University.
- Bray, Margaret M & Savin, Nathan E, 1986. "Rational Expectations Equilibria, Learning, and Model Specification," Econometrica, Econometric Society, vol. 54(5), pages 1129-60, September.
- Drew Fudenberg & David K. Levine, 1998.
"Learning in Games,"
Levine's Working Paper Archive
2222, David K. Levine.
- Allen, Helen & Taylor, Mark P, 1990. "Charts, Noise and Fundamentals in the London Foreign Exchange Market," Economic Journal, Royal Economic Society, vol. 100(400), pages 49-59, Supplemen.
- Ramon Marimon & Stephen E. Spear & Shyam Sunder, 1992.
"Expectationally-driven market volatility: an experimental study,"
Discussion Paper / Institute for Empirical Macroeconomics
73, Federal Reserve Bank of Minneapolis.
- Marimon Ramon & Spear Stephen E. & Sunder Shyam, 1993. "Expectationally Driven Market Volatility: An Experimental Study," Journal of Economic Theory, Elsevier, vol. 61(1), pages 74-103, October.
- Ramon Marimon & Stephen E. Spear & Shyam Sunder, 1993. "Expectationally-driven market volatility: An experimental study," Economics Working Papers 21, Department of Economics and Business, Universitat Pompeu Fabra.
- Marimon, R. & Spear, S. & Sunder, S., 1991. "Expectationally-Driven Market Volatility: An Experimental Study," GSIA Working Papers 1991-3, Carnegie Mellon University, Tepper School of Business.
- Smith, Vernon L & Suchanek, Gerry L & Williams, Arlington W, 1988. "Bubbles, Crashes, and Endogenous Expectations in Experimental Spot Asset Markets," Econometrica, Econometric Society, vol. 56(5), pages 1119-51, September.
- Hommes, Cars H., 1994. "Dynamics of the cobweb model with adaptive expectations and nonlinear supply and demand," Journal of Economic Behavior & Organization, Elsevier, vol. 24(3), pages 315-335, August.
- Sunder, S., 1992. "Experimental Asset Markets: A Survey," GSIA Working Papers 1992-19, Carnegie Mellon University, Tepper School of Business.
- Sonnemans, Joep, 2000. "Decisions and strategies in a sequential search experiment," Journal of Economic Psychology, Elsevier, vol. 21(1), pages 91-102, February.
- Alan Kirman, 1993. "Ants, Rationality, and Recruitment," The Quarterly Journal of Economics, Oxford University Press, vol. 108(1), pages 137-156.
- repec:att:wimass:9621 is not listed on IDEAS
- Chiarella, Carl, 1988. "The cobweb model: Its instability and the onset of chaos," Economic Modelling, Elsevier, vol. 5(4), pages 377-384, October.
- Brock, W.A. & Hommes, C.H., 1996.
"A Rational Route to Randomness,"
9530r, Wisconsin Madison - Social Systems.
- 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.
- repec:cup:macdyn:v:2:y:1998:i:3:p:287-321 is not listed on IDEAS
- Sonnemans, Joep, 1998. "Strategies of search," Journal of Economic Behavior & Organization, Elsevier, vol. 35(3), pages 309-332, April.
- Hommes, Cars & Sorger, Gerhard, 1998. "Consistent Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 2(03), pages 287-321, September.
- W. Brian Arthur & John H. Holland & Blake LeBaron & Richard Palmer & Paul Taylor, 1996.
"Asset Pricing Under Endogenous Expectation in an Artificial Stock Market,"
96-12-093, Santa Fe Institute.
- Grandmont Jean-michel & Laroque G, 1990. "Economic dynamics with learning : some instability examples," CEPREMAP Working Papers (Couverture Orange) 9007, CEPREMAP.
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