Border Collision Bifurcations in Boom and Bust Cycles
Boom and bust cycles are widely documented in the literature on industry dynamics. Rigidities and delays in capacity adjustment in combination with bounded rational behavior have been identified as central driving forces. We construct a model that features only these two elements and we show that this is indeed sufficient to reproduce some stylized facts of a boom and bust cycle. The bifurcation diagrams summarizing the dynamic behavior reveal complex cycles and in particular also abrupt changes in the nature of these cycles. We apply new insights from the mathematical theory of piecewise smooth dynamic systems - in particular, results from the theory of border collision bifurcations - and show that the very existence of borders such as capacity constraints or nonnegativity constraints may lie behind abrupt changes in the dynamic behavior of economic variables.
|Date of creation:||Mar 2012|
|Date of revision:|
|Contact details of provider:|| Postal: Welthandelsplatz 1, 1020 Vienna, Austria|
Web page: http://www.wu.ac.at/economics/en
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.:
- Fabio Tramontana & Frank Westerhoff & Laura Gardini, 2010.
"On the complicated price dynamics of a simple one-dimensional discontinuous financial market model with heterogeneous interacting traders,"
1005, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2010.
- Tramontana, Fabio & Westerhoff, Frank & Gardini, Laura, 2010. "On the complicated price dynamics of a simple one-dimensional discontinuous financial market model with heterogeneous interacting traders," Journal of Economic Behavior & Organization, Elsevier, vol. 74(3), pages 187-205, June.
- Gardini, Laura & Sushko, Iryna & Naimzada, Ahmad K., 2008. "Growing through chaotic intervals," Journal of Economic Theory, Elsevier, vol. 143(1), pages 541-557, November.
- Jean-Michel Grandmont & P, A, Pintus & R, De Vilder, 1997.
"Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles,"
97-28, Centre de Recherche en Economie et Statistique.
- Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
- GRANDMONT, Jean-Michel & PINTUS, Patrick & de VILDER, Robin, 1997. "Capital-labor substitution and competitive nonlinear endogenous business cycles," CORE Discussion Papers 1997087, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Roberto Dieci & Frank Westerhoff, 2010.
"Interacting cobweb markets,"
- Sushko, Iryna & Gardini, Laura & Puu, Tönu, 2010. "Regular and chaotic growth in a Hicksian floor/ceiling model," Journal of Economic Behavior & Organization, Elsevier, vol. 75(1), pages 77-94, July.
- Fabio Tramontana & Laura Gardini & Frank Westerhoff, 2011. "Heterogeneous Speculators and Asset Price Dynamics: Further Results from a One-Dimensional Discontinuous Piecewise-Linear Map," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 329-347, October.
- Currie, Martin & Kubin, Ingrid, 1995. "Non-linearities and partial analysis," Economics Letters, Elsevier, vol. 49(1), pages 27-31, July.
- Athanasiou, George & Karafyllis, Iasson & Kotsios, Stelios, 2008. "Price stabilization using buffer stocks," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1212-1235, April.
- Anna Agliari & Pasquale Commendatore & Ilaria Foroni & Ingrid Kubin, 2011. "Border Collision Bifurcations in a Footloose Capital Model with First Nature Firms," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 349-366, October.
- Mark Paich & John D. Sterman, 1993. "Boom, Bust, and Failures to Learn in Experimental Markets," Management Science, INFORMS, vol. 39(12), pages 1439-1458, December.
- David Besanko & Ulrich Doraszelski, 2004.
"Capacity Dynamics and Endogenous Asymmetries in Firm Size,"
RAND Journal of Economics,
The RAND Corporation, vol. 35(1), pages 23-49, Spring.
- David Besanko & Ulrich Doraszelski, 2002. "Capacity Dynamics and Endogenous Asymmetries in Firm Size," Computing in Economics and Finance 2002 196, Society for Computational Economics.
- Tramontana, Fabio & Gardini, Laura & Puu, Tönu, 2009.
"Cournot duopoly when the competitors operate multiple production plants,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 33(1), pages 250-265, January.
- Fabio Tramontana & Laura Gardini & Tönu Puu, 2008. "Cournot Duopoly when the Competitors Operate Multiple Production Plants," Working Papers 0809, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2008.
- Saari, Donald G, 1985. "Iterative Price Mechanisms," Econometrica, Econometric Society, vol. 53(5), pages 1117-31, September.
- Gardini, Laura & Merlone, Ugo & Tramontana, Fabio, 2011. "Inertia in binary choices: Continuity breaking and big-bang bifurcation points," Journal of Economic Behavior & Organization, Elsevier, vol. 80(1), pages 153-167.
- Lu, Yuanzhu & Poddar, Sougata, 2005.
"Mixed oligopoly and the choice of capacity,"
Research in Economics,
Elsevier, vol. 59(4), pages 365-374, December.
- John D. Sterman & Rebecca Henderson & Eric D. Beinhocker & Lee I. Newman, 2007. "Getting Big Too Fast: Strategic Dynamics with Increasing Returns and Bounded Rationality," Management Science, INFORMS, vol. 53(4), pages 683-696, April.
- Currie, Martin & Kubin, Ingrid, 1997. "Investment in Fixed Capital and Competitive Industry Dynamics," Oxford Economic Papers, Oxford University Press, vol. 49(4), pages 521-42, October.
When requesting a correction, please mention this item's handle: RePEc:wiw:wiwwuw:wuwp137. See general 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: (Department of Economics)
If references are entirely missing, you can add them using this form.