The Instability of a Heterogeneous Cobweb economy: a Strategy Experiment on Expectation Formation
AbstractWhich 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'.
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.
Bibliographic InfoPaper provided by Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance in its series CeNDEF Working Papers with number 99-06.
Date of creation: 1999
Date of revision:
Contact details of provider:
Postal: Dept. of Economics and Econometrics, Universiteit van Amsterdam, Roetersstraat 11, NL - 1018 WB Amsterdam, The Netherlands
Phone: + 31 20 525 52 58
Fax: + 31 20 525 52 83
Web page: http://www.fee.uva.nl/cendef/
More information through EDIRC
Other versions of this item:
- Sonnemans, Joep & Hommes, Cars & Tuinstra, Jan & van de Velden, Henk, 2004. "The instability of a heterogeneous cobweb economy: a strategy experiment on expectation formation," Journal of Economic Behavior & Organization, Elsevier, vol. 54(4), pages 453-481, August.
- NEP-ALL-2001-12-04 (All new papers)
- NEP-EXP-2001-12-04 (Experimental Economics)
- NEP-MAC-2001-12-04 (Macroeconomics)
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.:
- Marimon, Ramon & Sunder, Shyam, 1993.
"Indeterminacy of Equilibria in a Hyperinflationary World: Experimental Evidence,"
Econometric Society, vol. 61(5), pages 1073-107, September.
- 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.
- 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.
- 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.
- 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.
- Bray, Margaret M & Savin, Nathan E, 1986. "Rational Expectations Equilibria, Learning, and Model Specification," Econometrica, Econometric Society, vol. 54(5), pages 1129-60, September.
- Brock, W.A. & Hommes, C.H., 1996.
"A Rational Route to Randomness,"
9530r, Wisconsin Madison - Social Systems.
- Kirman, Alan, 1993. "Ants, Rationality, and Recruitment," The Quarterly Journal of Economics, MIT Press, vol. 108(1), pages 137-56, February.
- 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.
- 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.
- 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.
- 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.
- 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.
- Fudenberg, Drew & Levine, David, 1998.
"Learning in games,"
European Economic Review,
Elsevier, vol. 42(3-5), pages 631-639, May.
- 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.
- 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.
- 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," Open Access publications from Tilburg University urn:nbn:nl:ui:12-86814, Tilburg University.
- Theo Offerman & Jan PottersHarry A.A. Verbon & Harry A.A. Verbon, 1999. "Cooperation in an Overlapping Generations Experiment," Tinbergen Institute Discussion Papers 99-019/1, Tinbergen Institute.
- 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.
- Arifovic, Jasmina, 1994. "Genetic algorithm learning and the cobweb model," Journal of Economic Dynamics and Control, Elsevier, vol. 18(1), pages 3-28, January.
- repec:att:wimass:9625 is not listed on IDEAS
- Drew Fudenberg & David K. Levine, 1998.
"The Theory of Learning in Games,"
MIT Press Books,
The MIT Press,
edition 1, volume 1, number 0262061945, January.
- 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.
- 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.
- Grandmont Jean-michel & Laroque G, 1990. "Economic dynamics with learning : some instability examples," CEPREMAP Working Papers (Couverture Orange) 9007, CEPREMAP.
- Chiarella, Carl, 1988. "The cobweb model: Its instability and the onset of chaos," Economic Modelling, Elsevier, vol. 5(4), pages 377-384, October.
- repec:cup:macdyn:v:2:y:1998:i:3:p:287-321 is not listed on IDEAS
- 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.
- 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.
- 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.
- Joep Sonnemans, 1998.
"Decision and Strategies in a Sequential Search Experiment,"
Tinbergen Institute Discussion Papers
98-032/1, Tinbergen Institute.
- Sonnemans, Joep, 2000. "Decisions and strategies in a sequential search experiment," Journal of Economic Psychology, Elsevier, vol. 21(1), pages 91-102, February.
- Sonnemans, Joep, 1998. "Strategies of search," Journal of Economic Behavior & Organization, Elsevier, vol. 35(3), pages 309-332, April.
- Lux, Thomas, 1995. "Herd Behaviour, Bubbles and Crashes," Economic Journal, Royal Economic Society, vol. 105(431), pages 881-96, July.
- 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.
- Hommes, Cars & Sorger, Gerhard, 1998. "Consistent Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 2(03), pages 287-321, September.
- Jeffrey A. Frankel & Kenneth A. Froot, 1987. "Using Survey Data to Test Some Standard Propositions Regarding Exchange Rate Expectations," NBER Working Papers 1672, National Bureau of Economic Research, Inc.
This item has more than 25 citations. To prevent cluttering this page, these citations are listed on a separate page. reading list or among the top items on IDEAS.Access and download statisticsgeneral information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Cees C.G. Diks).
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.