Heterogeneous adaptive expectations and cobweb phenomena
AbstractWe study a cobweb-type commodity market where n firms operate and characterised by a strictly monotone demand and supply. The firms are assumed to differ in a key parameter governing price expectations which we suppose to be adaptive. We characterise the unique steady state of the resulting economic dynamics in terms of stability and we study the impact of the number and diversity of firms: to this end we introduce the notions of structural and behavioural degree of instability which prove to be crucial in determining whether stability or instability prevail. We also consider the case of market merging and establish conditions to have stability (or instability) in the aggregated market in terms of the original (structural and behavioural) degrees of instability. We take up the issue of transitional dynamics and speed of convergence when the system is stable and characterise parametric configurations that maximise the speed of convergence. Motivated by the difficulty to actually observe expectations, whereas it is easier to measure some structural features of a given market, such as the relevant demand and supply price elasticities, we take the perspective of an observer (e.g. a policy maker) whose information set includes the structural but not the behavioural degree of instability. We therefore assume the firms - via the parameter which defines their expectations - are sampled independently from a population described by a given probability distribution. In this case the structural degree of instability determines how the number of potentially different firms affects the probability of ending up with a stable outcome. Analytical results are provided alongside numerical evidence.
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Bibliographic InfoPaper provided by Dipartimento di Matematica per le Decisioni, Universita' degli Studi di Firenze in its series DiMaD Working Papers with number 2009-01.
Length: 21 pages
Date of creation: Mar 2009
Date of revision:
heterogeneous agents; expectations; stability of steady states; market merging; speed of convergence;
Find related papers by JEL classification:
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
- D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
- E17 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Forecasting and Simulation: Models and Applications
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-09-26 (All new papers)
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.:
- 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.
- Christopher D Carroll, 2002. "Macroeconomic Expectations of Households and Professional Forecasters," Economics Working Paper Archive 477, The Johns Hopkins University,Department of Economics.
- Christopher Carroll, 2003. "RATS code for Macroeconomic Expectations Of Households And Professional Forecasters," QM&RBC Codes 36, Quantitative Macroeconomics & Real Business Cycles.
- Ely�s Jouini & Clotilde Napp, 2007.
"Consensus Consumer and Intertemporal Asset Pricing with Heterogeneous Beliefs,"
Review of Economic Studies,
Oxford University Press, vol. 74(4), pages 1149-1174.
- Clotilde Napp & Elyès Jouini, 2007. "Consensus consumer and intertemporal asset pricing with heterogeneous beliefs," Post-Print halshs-00152348, HAL.
- Elyès Jouini & Clotilde Napp, 2003. "Consensus consumer and intertemporal asset pricing with heterogeneous beliefs," Finance 0312001, EconWPA.
- William A. Brock & Cars H. Hommes, 1997.
"A Rational Route to Randomness,"
Econometric Society, vol. 65(5), pages 1059-1096, September.
- Evans, George W. & Guesnerie, Roger, 2005.
"Coordination on saddle-path solutions: the eductive viewpoint--linear multivariate models,"
Journal of Economic Theory,
Elsevier, vol. 124(2), pages 202-229, October.
- George W. Evans & Roger Guesnerie, 2003. "Coordination on Saddle-Path Solutions: the Eductive Viewpoint - Linear Multivariate Models," DELTA Working Papers 2003-28, DELTA (Ecole normale supérieure).
- George W. Evans & Roger Guesnerie, 2003. "Coordination on Saddle-Path Solutions: The Eductive Viewpoint -- Linear Multivariate Models," University of Oregon Economics Department Working Papers 2003-28, University of Oregon Economics Department, revised 25 Jan 2005.
- Manzan, Sebastiano & Westerhoff, Frank H., 2007.
"Heterogeneous expectations, exchange rate dynamics and predictability,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 64(1), pages 111-128, September.
- Manzan, S. & Westerhoff, F., 2002. "Heterogeneous Expectations, Exchange Rate Dynamics and Predictability," CeNDEF Working Papers 02-14, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Honkapohja, Seppo & Mitra, Kaushik, 2002.
"Performance of monetary policy with internal central bank forecasting,"
Working Paper Series
0127, European Central Bank.
- Honkapohja, Seppo & Mitra, Kaushik, 2005. "Performance of monetary policy with internal central bank forecasting," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 627-658, April.
- Kaushik Mitra & Seppo Honkapohja, 2004. "Performance of Monetary Policy with Internal Central Bank Forecasting," Royal Holloway, University of London: Discussion Papers in Economics 04/18, Department of Economics, Royal Holloway University of London, revised Jul 2004.
- Honkapohja, Seppo & Mitra, Kaushik, 2002. "Performance of monetary policy with internal central bank forecasting," Research Discussion Papers 3/2002, Bank of Finland.
- N. Gregory Mankiw & Ricardo Reis & Justin Wolfers, 2003.
"Disagreement about Inflation Expectations,"
NBER Working Papers
9796, National Bureau of Economic Research, Inc.
- Mankiw, N. Gregory & Reis, Ricardo & Wolfers, Justin, 2003. "Disagreement about Inflation Expectations," Research Papers 1807, Stanford University, Graduate School of Business.
- N. Gregory Mankiw & Ricardo Reis & Justin Wolfers, 2003. "Disagreement about Inflation Expectations," Harvard Institute of Economic Research Working Papers 2011, Harvard - Institute of Economic Research.
- N. Gregory Mankiw & Ricardo Augusto Marc Rocha Reis & Justin Wolfers, 2004. "Disagreement about Inflation Expectations," Yale School of Management Working Papers ysm391, Yale School of Management.
- Negroni, Giorgio, 2003. "Adaptive expectations coordination in an economy with heterogeneous agents," Journal of Economic Dynamics and Control, Elsevier, vol. 28(1), pages 117-140, October.
- repec:ner:dauphi:urn:hdl:123456789/78 is not listed on IDEAS
- Chiarella, Carl & He, Xue-Zhong & Hung, Hing & Zhu, Peiyuan, 2006. "An analysis of the cobweb model with boundedly rational heterogeneous producers," Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 750-768, December.
- Branch, William A. & Evans, George W., 2006.
"Intrinsic heterogeneity in expectation formation,"
Journal of Economic Theory,
Elsevier, vol. 127(1), pages 264-295, March.
- 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.
- Andrea Buraschi & Alexei Jiltsov, 2006. "Model Uncertainty and Option Markets with Heterogeneous Beliefs," Journal of Finance, American Finance Association, vol. 61(6), pages 2841-2897, December.
- William A. Branch, 2004. "The Theory of Rationally Heterogeneous Expectations: Evidence from Survey Data on Inflation Expectations," Economic Journal, Royal Economic Society, vol. 114(497), pages 592-621, 07.
- Reiner Franke & Tim Nesemann, 1999. "Two destabilizing strategies may be jointly stabilizing," Journal of Economics, Springer, vol. 69(1), pages 1-18, February.
- Chavas, Jean-Paul, 2000. "On information and market dynamics: The case of the U.S. beef market," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 833-853, June.
- Cars H. Hommes, 2005.
"Heterogeneous Agent Models in Economics and Finance,"
Tinbergen Institute Discussion Papers
05-056/1, Tinbergen Institute.
- 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 Elsevier.
- Herrendorf, Berthold & Valentiny, Alos & Waldman, Robert, .
"Ruling out multiplicity and indeterminacy: The role of heterogeneity,"
Open Access publications from Universidad Carlos III de Madrid
info:hdl:10016/6167, Universidad Carlos III de Madrid.
- Herrendorf, Berthold & Valentinyi, Akos & Waldmann, Robert, 2000. "Ruling Out Multiplicity and Indeterminacy: The Role of Heterogeneity," Review of Economic Studies, Wiley Blackwell, vol. 67(2), pages 295-307, April.
- Jouini, Elyès & Napp, Clotilde, 2007. "Consensus Consumer and Intertemporal Asset Pricing with Heterogeneous Beliefs," Economics Papers from University Paris Dauphine 123456789/78, Paris Dauphine University.
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