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
- Laszlo Kapolyi, Ferenc Szidarovszki, Control of Dynamic Oligopsonies with Production factors , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Abdelouaheb Ardjouni, Ahcene Djoudi, Study of global asymptotic stability in nonlinear neutral dynamic equations on time scales , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- I. M. Proudnikov, Stochastic model of money flow in economics , CUBO, A Mathematical Journal: Vol. 9 No. 3 (2007): CUBO, A Mathematical Journal
- 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
- Ruchi Arora, Dharmendra Kumar, Ishita Jhamb, Avina Kaur Narang, Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
- Saharon Shelah, On λ strong homogeneity existence for cofinality logic , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
- Nasir Ganikhodjaev, Seyit Temir, Hasan Akin, The exact solution of the Potts models with external magnetic field on the Cayley tree , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- S. Minkevicius, About cumulative idle time model of the message switching system , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
- Laurent Amour, Benoit Grébert, Jean-Claude Guillot, A mathematical model for the Fermi weak interactions , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): 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
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
