Computational Techniques for Stability Analysis of a Class of Dynamic Economic Models

作者: V.

DOI: 10.3844/AJASSP.2012.1944.1952

关键词: Stability (learning theory)Mathematical optimizationEconomic modelComputer scienceMathematical modelSoftwareDifferential equationEconomic equilibriumDiscrete time and continuous timeLinear difference equation

摘要: Modern microeconomics and macroeconomics study dynamic phenomena. Dynamics could predict future states of an economy based on its structural characteristics. Dynamic models in discrete time state economic systems may take the form one single linear difference equation or a system equations. In this we use Xcas Mathematica as software tools order to generate results concerning properties solutions equation(s) and, determine whether equilibrium exists. Our computational approach does not require solving makes no assumptions for initial conditions. The provide quantitative information qualitative mathematical rather than their quantifiable ones. relevant output CAS is created way be interpreted without knowledge advanced mathematics. computer codes are fully presented can reproduced they computational-based research practice education.

参考文章(18)
Paul L. Fackler, Mario J. Miranda, Applied Computational Economics and Finance ,(2002)
Jie Chen, Vladimir Kharitonov, Kequin Gu, Stability of Time-Delay Systems ,(2003)
M. Neumann, Weak stability for matrices Linear & Multilinear Algebra. ,vol. 7, pp. 257- 262 ,(1979) , 10.1080/03081087908817284
Marco Ratto, Analysing DSGE Models with Global Sensitivity Analysis Computing in Economics and Finance. ,vol. 31, pp. 115- 139 ,(2008) , 10.1007/S10614-007-9110-6
Roger Nils Folsom, Dan C. Boger, Harry C. Mullikin, Stability Conditions for Linear Constant Coefficient Difference Equations in Generalized Differenced Form Econometrica. ,vol. 44, pp. 575- 591 ,(1976) , 10.2307/1913983
Olivier Jean Blanchard, Charles M. Kahn, THE SOLUTION OF LINEAR DIFFERENCE MODELS UNDER RATIONAL EXPECTATIONS Econometrica. ,vol. 48, pp. 1305- 1311 ,(1980) , 10.2307/1912186
Hal R. Varian, Computational economics and finance: modeling and analysis with Mathematica Computational economics and finance: modeling and analysis with Mathematica. pp. 468- 468 ,(1996)
Philip S. Crooke, Cliff J. Huang, Mathematics and Mathematica for Economists ,(1997)
Robert S. Pindyck, Daniel L. Rubinfeld, Econometric Models and Economic Forecasts ,(1990)