Halkos, George and Tsilika, Kyriaki (2012): Stability analysis in economic dynamics: A computational approach.

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Abstract
Modern microeconomics and macroeconomics study dynamic phenomena. Dynamics could predict future states of an economy based on its structural characteristics. Economic dynamics are modeled in discrete and continuous time context, mainly via autonomous difference and differential equations. In this study, we use Xcas and Mathematica as software tools, in order to generate results concerning the dynamic properties of the solutions of the difference and differential equation(s) models and determine whether an economic equilibrium exists. Our computational approach does not require solving the difference or differential equation(s) and makes no assumptions for initial conditions. The results provide quantitative information based on the qualitative properties of the mathematical solutions. The computer codes are fully presented and can be reproduced as they are in computationalbased research practice and education. The relevant output of CAS software is created in a way as to be interpreted without the knowledge of advanced mathematics.
Item Type:  MPRA Paper 

Original Title:  Stability analysis in economic dynamics: A computational approach 
Language:  English 
Keywords:  Stability conditions; software tools; economic equilibrium 
Subjects:  C  Mathematical and Quantitative Methods > C6  Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C63  Computational Techniques; Simulation Modeling C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods C  Mathematical and Quantitative Methods > C8  Data Collection and Data Estimation Methodology; Computer Programs > C88  Other Computer Software C  Mathematical and Quantitative Methods > C6  Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C62  Existence and Stability Conditions of Equilibrium 
Item ID:  41371 
Depositing User:  G.E. Halkos 
Date Deposited:  17. Sep 2012 13:31 
Last Modified:  12. Feb 2013 15:42 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/41371 