The Dynamic Evolution of Industrial Clusters
-
Ferenc Szidarovszky
szidar@sie.arizona.edu
-
Jijun Zhao
jijunzhao@yahoo.com
Downloads
Abstract
A mathematical model and its implementation are presented to analyze the evolution of industrial clusters. The static model is a combination of basic ideas of oligopoly and oligopsony theory as well as fundamental economic results describing the effects of technology development. The dynamic model is based on gradient adjustment in which each decision variable is adjusted in proportion to the corresponding partial derivative of the profit function of the firm controlling this variable. The complexity of the model makes it analytically intractable, therefore computer simulation is used. A sensitivity analysis is performed to examine how the trajectories of the main characteristics of the firms depend on model parameters, and how the entire cluster develops in time.
Keywords
Most read articles by the same author(s)
- Akio Matsumoto, Ferenc Szidarovszky, An elementary study of a class of dynamic systems with two time delays , CUBO, A Mathematical Journal: Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal
- Carl Chiarella, Ferenc Szidarovszky, Dynamic Oligopolies and Intertemporal Demand Interaction , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- Akio Matsumoto, Ferenc Szidarovszky, An Elementary Study of a Class of Dynamic Systems with Single Time Delay , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Ferenc Szidarovszky, Vernon L. Smith, Steven Rassenti, Cournot Models: Dynamics, Uncertainty and Learning , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- Tamar Kugler, Ferenc Szidarovszky, An Inter-Group Conflict and its Relation to Oligopoly Theory , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- Carl Chiarella, Ferenc Szidarovszky, A Multiobjective Model of Oligopolies under Uncertainty , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- Jerome Yen, Ferenc Szidarovszky, Dynamic Negotiations , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
Similar Articles
- George Leitmann, A Direct Method of Optimization and its Application to a Class of Differential Games , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Youssef N. Raffoul, Ernest Yankson, Positive periodic solutions of functional discrete systems with a parameter , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
- Jonas Gomes, Luiz Velho, Color representation: Theory and Techniques , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- Wilfrid Hodges, Saharon Shelah, Naturality and definability II , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
- Ricardo Castro Santis, Fernando Córdova-Lepe, Ana Belén Venegas, Biorreactor de fermentación con tasa estocástica de consumo , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
- Volodymyr Sushch, Green Function for a Two-Dimensional Discrete Laplace-Beltrami Operator , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Shunsuke Kaji, The Extension of the Formula by Dupire , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Luciano Souza, Wilson Rosa de O. Júnior, Cícero Carlos R. de Brito, Christophe Chesneau, Renan L. Fernandes, Tiago A. E. Ferreira, Tan-G class of trigonometric distributions and its applications , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- E. N. Mahmudov, G. C¸i¸cek, Optimization of differential inclusions of Bolza type with state constraints and duality , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- Aníbal Coronel, Fernando Huancas, Esperanza Lozada, Jorge Torres, Análisis matemático de un problema inverso para un sistema de reacción-difusión originado en epidemiología , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2009-05-01
How to Cite
[1]
F. Szidarovszky and J. Zhao, “The Dynamic Evolution of Industrial Clusters”, CUBO, vol. 11, no. 2, pp. 37–54, May 2009.
Issue
Section
Articles
