Handbook on Optimal Growth 1

1. Front Matter

   Pages I-XIX

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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

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).

• Economic Growth
• Growth Theory
• Optimization Theory
• agents
• growth
• growth model
• optimization

• 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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