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Differential Equations, Stability and Chaos in Dynamic Economics
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Differential Equations, Stability and Chaos in Dynamic Economics (Hardback)

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Synopsis

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.

BusinessBusiness & managementOperational researchBusinessEconomicsEconometricsScience & MathematicsMathematicsCalculus & mathematical analysisDifferential calculus & equations Publisher: Elsevier Science & Technology Publication Date: 01/05/1989 ISBN-13: 9780444705006  Details: Type: Hardback Format: Books
Availability: To Order. Estimated despatch in 1-3 weeks.  

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