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Handbook on Optimal Growth 1

Discrete Time

  • Book
  • © 2006

Overview

Editors:
  1. Rose-Anne Dana

    1. CEREMADE, University of Paris IX Dauhine, Paris Cedex 16, France

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  2. Cuong Le Van

    1. CERMSEM, University of Paris 1 — Pantheon Sorbonne, paris, France

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    You can also search for this editor in PubMed   Google Scholar

  3. Tapan Mitra

    1. Department of Economics, Cornell University, Ithaca, USA

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    You can also search for this editor in PubMed   Google Scholar

  4. Kazuo Nishimura

    1. Institute of Economic Research, Kyoto University, Kyoto, Japan

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  • Provides researchers with surveys of significant results of the theory of optimal growth and the techniques of dynamic optimization theory on which they are based

  • Researchers will be in an advantageous position to apply these versatile methods of analysis to new issues in the areas of dynamic economics which contributes to the further development of the mathematical techniques of optimization over time

  • Includes supplementary material: sn.pub/extras

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XIX
    Download chapter PDF

  2. Optimal Growth Without Discounting

    • Rose-Anne Dana, Cuong Le Van
    Pages 1-17

  3. Optimal Growth Models with Discounted Return

    • Cuong Le Van
    Pages 19-54

  4. Duality Theory in Infinite Horizon Optimization Models

    • Tapan Mitra
    Pages 55-84

  5. Rationalizability in Optimal Growth Theory

    • Gerhard Sorger
    Pages 85-113

  6. On Stationary Optimal Stocks in Optimal Growth Theory: Existence and Uniqueness Results

    • Tapan Mitra, Kazuo Nishimura
    Pages 115-140

  7. Optimal Cycles and Chaos

    • Tapan Mitra, Kazuo Nishimura, Gerhard Sorger
    Pages 141-169

  8. Intertemporal Allocation with a Non-convex Technology

    • Mukul Majumdar
    Pages 171-201

  9. Isotone Recursive Methods: The Case of Homogeneous Agents

    • Manjira Datta, Kevin L. Reffett
    Pages 203-250

  10. Discrete-Time Recursive Utility

    • John H. Boyd III
    Pages 251-272

  11. Indeterminacy in Discrete-Time Infinite-Horizon Models

    • Kazuo Nishimura, Alain Venditti
    Pages 273-296

  12. Theory of Stochastic Optimal Economic Growth

    • Lars J. Olson, Santanu Roy
    Pages 297-335

  13. The von Neumann-Gale Growth Model and Its Stochastic Generalization

    • Igor V. Evstigneev, Klaus R. Schenk-Hoppé
    Pages 337-383

  14. Equilibrium Dynamics with Many Agents

    • Robert A. Becker
    Pages 385-442

  15. Dynamic Games in Economics

    • Rabah Amir
    Pages 443-477
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Keywords

About this book

The problem of e?cient or optimal allocation of resources is a fundamental concern of economic analysis. The theory of optimal economic growth can be viewedasanaspectofthiscentraltheme,whichemphasizesingeneraltheissues arising in the allocation of resources over an in?nite time horizon, and in p- ticular the consumption-investment decision process in models in which there is no natural ”terminal date”. This broad scope of ”optimal growth theory” is one which has evolved over time, as economists have discovered new interp- tations of its central results, as well as new applications of its basic methods. The purpose of this handbook is to provide surveys of some signi?cant results of the theory of optimal growth,as well as the techniques of dynamic optimi- tion theory on which they are based. Armed with the results and methods of this theory, a researcher should be in an advantageous position to apply these versatile methods of analysis to new issues in the area of dynamic economics, as well as to contribute to the further development of the mathematical te- niques of optimization over time. The survey included in this volume all have as a common starting point the seminal contribution of Frank Ramsey (1928).

Editors and Affiliations

  • CEREMADE, University of Paris IX Dauhine, Paris Cedex 16, France

    Rose-Anne Dana

  • CERMSEM, University of Paris 1 — Pantheon Sorbonne, paris, France

    Cuong Le Van

  • Department of Economics, Cornell University, Ithaca, USA

    Tapan Mitra

  • Institute of Economic Research, Kyoto University, Kyoto, Japan

    Kazuo Nishimura

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