Learning from the Expectations of Others
AbstractThe assumption of perfectly rational representative agents is commonly questioned. This paper explores the equilibrium properties of boundedly rational heterogeneous agents. We combine an adaptive learning process in a modified cobweb model within a Stackleberg framework. We assume that there is an asymmetric information diffusion process from leading to following firms. In contrast to a simple cobweb model which has a unique REE, our model may produce multiple restricted perceptions equilibria (RPE). However, a unique and learnable RPE, under certain conditions, can exist in our model. In addition, the following firms’ forecasts can confound the leading firms’ forecasts - when the following firms misinterpret information coming from the leading firms. We refer this situation to the boomerang effect. We also find that the leading firms’ mean squared forecast error can be even larger than that of following firms if the proportion of following firms is sufficiently large in the market.
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Bibliographic InfoPaper provided by Faculty of Economics, University of Cambridge in its series Cambridge Working Papers in Economics with number 0605.
Date of creation: Feb 2006
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Web page: http://www.econ.cam.ac.uk/index.htm
Adaptive Learning; Expectational Stability; Information Diffusion; Cobweb Model; Heterogeneous Expectations;
Other versions of this item:
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
- E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-02-19 (All new papers)
- NEP-EVO-2006-02-19 (Evolutionary Economics)
- NEP-FMK-2006-02-19 (Financial Markets)
- NEP-MAC-2006-02-19 (Macroeconomics)
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- William A. Brock & Cars H. Hommes, 1997.
"A Rational Route to Randomness,"
Econometric Society, vol. 65(5), pages 1059-1096, September.
- Guse, E., 2005.
"Learning in a Misspecified Multivariate Self-referential Linear Stochastic Model,"
Cambridge Working Papers in Economics
0548, Faculty of Economics, University of Cambridge.
- Guse, Eran A., 2008. "Learning in a misspecified multivariate self-referential linear stochastic model," Journal of Economic Dynamics and Control, Elsevier, vol. 32(5), pages 1517-1542, May.
- Eran Guse, 2007. "Learning in a Misspecified Multivariate Self-Referential Linear Stochastic Model," Money Macro and Finance (MMF) Research Group Conference 2006 71, Money Macro and Finance Research Group.
- Seppo Honkapohja & Kaushik Mitra, 2006.
"Learning Stability in Economies with Heterogeneous Agents,"
Review of Economic Dynamics,
Elsevier for the Society for Economic Dynamics, vol. 9(2), pages 284-309, April.
- Kaushik Mitra & Seppo Honkapohja, 2004. "Learning Stability in Economies with Heterogenous Agents," Royal Holloway, University of London: Discussion Papers in Economics 04/17, Department of Economics, Royal Holloway University of London, revised Jul 2004.
- Seppo Honkapohja & Kaushik Mitra, 2002. "Learning Stability in Economies with Heterogenous Agents," CESifo Working Paper Series 772, CESifo Group Munich.
- Seppo Honkapohja & Kaushik Mitra, 2002. "Learning stability in economics with heterogenous agents," Working Paper Series 120, European Central Bank.
- John Haltiwanger & Michael Waldman, 1983.
"Rational Expectations and the Limits of Rationality: An Analysis of Heterogeneity,"
UCLA Economics Working Papers
303, UCLA Department of Economics.
- Haltiwanger, John & Waldman, Michael, 1985. "Rational Expectations and the Limits of Rationality: An Analysis of Heterogeneity," American Economic Review, American Economic Association, vol. 75(3), pages 326-40, June.
- Evans, George W. & Honkapohja, Seppo, 1996. "Least squares learning with heterogeneous expectations," Economics Letters, Elsevier, vol. 53(2), pages 197-201, November.
- David Backus & John Driffill, 1984.
"Inflation and Reputation,"
560, Queen's University, Department of Economics.
- Lucas, Robert E, Jr, 1973. "Some International Evidence on Output-Inflation Tradeoffs," American Economic Review, American Economic Association, vol. 63(3), pages 326-34, June.
- David H. Romer & Christina D. Romer, 2000. "Federal Reserve Information and the Behavior of Interest Rates," American Economic Review, American Economic Association, vol. 90(3), pages 429-457, June.
- Robert J. Barro & David B. Gordon, 1984.
"Rules, Discretion and Reputation in a Model of Monetary Policy,"
NBER Working Papers
1079, National Bureau of Economic Research, Inc.
- Barro, Robert J. & Gordon, David B., 1983. "Rules, discretion and reputation in a model of monetary policy," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 101-121.
- McCallum, Bennett T., 1983.
"On non-uniqueness in rational expectations models : An attempt at perspective,"
Journal of Monetary Economics,
Elsevier, vol. 11(2), pages 139-168.
- Bennett T. McCallum, 1983. "On Non-Uniqueness in Rational Expectations Models: An Attempt at Perspective," NBER Working Papers 0684, National Bureau of Economic Research, Inc.
- Evans, George W., 1989. "The fragility of sunspots and bubbles," Journal of Monetary Economics, Elsevier, vol. 23(2), pages 297-317, March.
- Chryssi Giannitsarou, 2003. "Heterogeneous Learning," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 885-906, October.
- Bomfim, Antulio N., 2001. "Heterogeneous forecasts and aggregate dynamics," Journal of Monetary Economics, Elsevier, vol. 47(1), pages 145-161, February.
- Bennett T. McCallum, .
"Role of the minimal state variable criterion in rational expectations models,"
GSIA Working Papers
1999-13, Carnegie Mellon University, Tepper School of Business.
- Bennett McCallum, 1999. "Role of the Minimal State Variable Criterion in Rational Expectations Models," International Tax and Public Finance, Springer, vol. 6(4), pages 621-639, November.
- Arifovic, Jasmina, 1994. "Genetic algorithm learning and the cobweb model," Journal of Economic Dynamics and Control, Elsevier, vol. 18(1), pages 3-28, January.
- Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
- Guse, Eran A., 2005. "Stability properties for learning with heterogeneous expectations and multiple equilibria," Journal of Economic Dynamics and Control, Elsevier, vol. 29(10), pages 1623-1642, October.
- Evans, George W & Honkapohja, Seppo, 1992. "On the Robustness of Bubbles in Linear RE Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(1), pages 1-14, February.
- Bennett T. McCallum, 2000. "Role of the Minimal State Variable Criterion," NBER Working Papers 7087, National Bureau of Economic Research, Inc.
- Bernanke, Ben S & Woodford, Michael, 1997.
"Inflation Forecasts and Monetary Policy,"
Journal of Money, Credit and Banking,
Blackwell Publishing, vol. 29(4), pages 653-84, November.
- Eugene Kandel & Ben-Zion Zilberfarb, 1999. "Differential Interpretation Of Information In Inflation Forecasts," The Review of Economics and Statistics, MIT Press, vol. 81(2), pages 217-226, May.
- George Evans & William Branch, 2003.
"Intrinsic Heterogeneity in Expectation Formation,"
Computing in Economics and Finance 2003
312, Society for Computational Economics.
- Bill Branch & George W. Evans, 2003. "Intrinsic Heterogeneity in Expectation Formation," University of Oregon Economics Department Working Papers 2003-32, University of Oregon Economics Department, revised 04 Oct 2004.
- Christopher D Carroll, 2002.
"Macroeconomic Expectations of Households and Professional Forecasters,"
Economics Working Paper Archive
477, The Johns Hopkins University,Department of Economics.
- Christopher D. Carroll, 2003. "Macroeconomic Expectations Of Households And Professional Forecasters," The Quarterly Journal of Economics, MIT Press, vol. 118(1), pages 269-298, February.
- Devenow, Andrea & Welch, Ivo, 1996. "Rational herding in financial economics," European Economic Review, Elsevier, vol. 40(3-5), pages 603-615, April.
- Branch, William A. & McGough, Bruce, 2008. "Replicator dynamics in a Cobweb model with rationally heterogeneous expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 65(2), pages 224-244, February.
- Adam, Klaus & Evans, George W. & Honkapohja, Seppo, 2006. "Are hyperinflation paths learnable?," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2725-2748, December.
- Ichiro Muto, 2008.
"Monetary Policy and Learning from the Central Bank's Forecast,"
IMES Discussion Paper Series
08-E-01, Institute for Monetary and Economic Studies, Bank of Japan.
- Muto, Ichiro, 2011. "Monetary policy and learning from the central bank's forecast," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 52-66, January.
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