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Studies in Economic Theory

By: Mukul Majumdar, Tapan Mitra, Kazuo Nishimura

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Hardcover | 6 May 2000

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468 Pages

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23.5 x 15.88 x 3.18

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This collection of essays brings together some articles on dynamic optimization models that exhibit chaotic behavior. Chapters 3, 4, 5, 6, 7, and 9 appeared in a Symposium on Chaotic Dynamical Systems in Economic Theory (Volume 4, Number 5, 1994). Also, Chapters 10,11, and 12 appeared in the Journal of Economic The ory. We would like to thank the authors, and Academic Press for permission to reprint. We are grateful to Professor C.D. Aliprantis for suggesting the idea of a book structured around the Economic Theory Symposium, and without the support and patience of Dr. Mueller this project could not have been completed. We would like to thank Ms. Amy Gowan who cheerfully per formed the arduous task of typing the manuscript. Thanks are also due to Xiao Qing Yu, Tridip Ray and Malabika Majumdar for their help at various stages in the preparation of the manuscript. For a course on dynamic optimization addressed to students with a good background in economic theory and real analysis, one can assign Chapter 2 as a partial introduction to the basic tech niques. Chapters 3 and 4 can be assigned to provide examples of simple optmization models generating complicated behavior.

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Non-Fiction Mathematics Applied Mathematics Chaos Theory Economics Economic Theory & Philosophy Optimisation Linear Programming Econometrics

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Published: 15th December 2010

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Preface
List of Contributors
Dynamical Systems: A Tutorial	p. 1
Introduction to Dynamic Optimization Theory	p. 31
Periodic and Chaotic Programs of Optimal Intertemporal Allocation in an Aggregative Model with Wealth Effects	p. 109
Optimal Chaos, Nonlinearity, and Feasibility Conditions	p. 149
The Local Bifurcation of Ramsey Equilibrium	p. 173
On the Structure of Ramsey Equilibrium: Cycles, Indeterminacy and Sunspots	p. 209
Robust Ergodic Chaos in Discounted Dynamic Optimization Models	p. 240
Non-Linear Dynamics and Chaos in Optimal Growth: A Constructive Exposition	p. 258
Ergodic Chaos in Optimal Growth Models with Low Discount Rates	p. 296
On the Minimum Rate of Impatience for Complicated Optimal Growth Paths	p. 315
An Exact Discount Factor Restriction for Period-Three Cycles in Dynamic Optimization Models	p. 339
On the Least Upper Bound of Discount Factors that are Compatible with Optimal Period-Three Cycles	p. 368
On the Relationship between Discounting and Entropy of Dynamic Optimization Models	p. 403
References	p. 434
Table of Contents provided by Blackwell. All Rights Reserved.

Studies in Economic Theory

At a Glance

Hardcover

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How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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