Overview

Treating the mathematical methods used in the economic dynamics, this book shows how they are utilised to build and analyse dynamical models. Accordingly, the focus is on the methods, and every new mathematical technique introduced is followed by its application to select economic models. The mathematical methods covered range from elementary linear difference and differential equations and simultaneous systems to the qualitative analysis of non-linear dynamical systems. Stability considerations are stressed throughout, including many advanced topics. Bifurcation theory and chaos theory are also dealt with. The reader is guided through a step-by-step analysis of each topic, be it a mathematical method or an economic model. This ""user-friendly"" feature is also present in the exercises.

Full Product Details

Author:   G. Gandolfo
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   3rd completely Revised and enlarged ed
Weight:   1.050kg
ISBN:  

9783540609889

ISBN 10:   3540609881
Pages:   635
Publication Date:   May 1996
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Contents: Introduction * Difference Equations: General Principles * First-order Difference Equations * Second-order Difference Equations * Second-order Difference Equations in Economic Models * High-order Difference Equations * High-order Difference Equations in Economic Models * Simultaneous Systems of Difference Equations * Simultaneous Difference Systems in Economic Models * Differential Equations: General Principles * First-order Differential Equations * First-order Differential Equations in Economic Models * Second-order Differential Equations * Second-order Differential Equations in Economic Models * Higher-order Differential Equations * Higher-order Differential Equations in Economic Models * Simultaneous Systems of Differential Equations * Differential Equation Systems in Economic Models * Comparative Statics and the Correspondence Principle * Stability of Equilibrium: A General Treatment * Saddle Points and Economic Dynamics * Liapunov's Second Method * Introduction to Nonlinear Dynamics * Bifurcation Theory * Complex Dynamics * Mixed Differential-Difference Equations.

Reviews

The comprehensiveness and depth of the book must make it at least approach Bible status in economic dynamics. - Economic Record

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