Economic dynamics

書誌事項

Economic dynamics

Giancarlo Gandolfo

Springer, c1996

3rd, completely rev. and enl. ed

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注記

2nd ed. was published under the title of Economic dynamics: methods and models. published by North-Holland 1980

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

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.

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