The Dynamic Systems of Basic Economic Growth Models

1994
ISBN: 978-0-7923-3091-2
Verlag: Springer Netherlands

Buch, Englisch, Band 302, 356 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1540 g

Reihe: Mathematics and Its Applications

Two central problems in the pure theory of economic growth are analysed in this monograph: 1) the dynamic laws governing the economic growth processes, 2) the kinematic and geometric properties of the set of solutions to the dynamic systems. With allegiance to rigor and the emphasis on the theoretical fundamentals of prototype mathematical growth models, the treatise is written in the theorem-proof style. To keep the exposition orderly and as smooth as possible, the economic analysis has been separated from the purely mathematical issues, and hence the monograph is organized in two books. Regarding the scope and content of the two books, an "Introduction and Over­ view" has been prepared to offer both motivation and a brief account. The introduc­ tion is especially designed to give a recapitulation of the mathematical theory and results presented in Book II, which are used as the unifying mathematical framework in the analysis and exposition of the different economic growth models in Book I. Economists would probably prefer to go directly to Book I and proceed by consult­ ing the mathematical theorems of Book II in confirming the economic theorems in Book I. Thereby, both the independence and interdependence of the economic and mathematical argumentations are respected.

Zielgruppe

Research

Autoren/Hrsg.

Jensen, Bjarne S.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Wirtschaftstheorie, Wirtschaftsphilosophie
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Wirtschaftswachstum
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Geldwirtschaft, Währungspolitik
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Makroökonomie
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie

Inhaltsverzeichnis

and Overview.- 1 Basic laws of production.- 2 Classical growth models and homogeneity.- 3 Classical growth models and minimal factor rewards.- 4 Aggregate endogenous growth models.- Synopsis of endogenous growth models.- 5 Neoclassical growth models.- 6 Keynesian growth models.- 7 Leontief technology and efficient factor utilization.- 8 Flexible technologies and proportional saving.- 9 Flexible technologies and classical saving.- Synopsis of two-sector growth models.- Final comments.- 10 Homogeneous Dynamics in the Plane.- 11 Linear and Affine Dynamics in the Plane.- 12 Quasi-Homogeneous Dynamics in the Plane.- 13 Discrete Linear Dynamics in the Plane.- Addendum: Growth and Long-Run Stability.- Bibliography: Book I.- Bibliography: Book II.