Differential equations, stability and chaos in dynamic economics
著者
書誌事項
Differential equations, stability and chaos in dynamic economics
（Advanced textbooks in economics, v. 27）
North-Holland, 1989
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注記
Bibliography: p. [357]-382
Includes index
内容説明・目次
内容説明
This is the first economics work of its kind offering the economist the opportunity to acquire new and important analytical tools. It introduces the reader to three advanced mathematical methods by presenting both their theoretical bases and their applications to a wide range of economic models.
The mathematical methods presented are ordinary differential equations, stability techniques and chaotic dynamics. Topics such as existence, continuation of solutions, uniqueness, dependence on initial data and parameters, linear systems, stability of linear systems, two dimensional phase analysis, local and global stability, the stability manifold, stability of optimal control and empirical tests for chaotic dynamics are covered and their use in economic theory is illustrated in numerous applications. These applications include microeconomic dynamics, investment theory, macroeconomic policies, capital theory, business cycles, financial economics and many others.
All chapters conclude with two sections on miscellaneous applications and exercises and further remarks and references. In total the reader will find a valuable guide to over 500 selected references that use differential equations, stability analysis and chaotic dynamics. Graduate students in economics with a special interest in economic theory, economic researchers and applied mathematicians will all benefit from this volume.
目次
Basic Properties of Differential Equations. Linear Differential Equations. Stability Methods: An Introduction. Advanced Stability Methods. Stability of Optimal Control. Microeconomic Dynamics. Stability in Investment Theory. Macroeconomic Policies. Stability in Capital Theory. Introduction to Chaos and Other Aspects of Nonlinearity. Appendix. Bibliography. Index.
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