Dynamic Optimization and Mathematical Economics

As an outgrowth of the advancement in modern control theory during the past 20 years, dynamic modeling and analysis of economic systems has become an important subject in the study of economic theory. Recent developments in dynamic utility, economic planning, and profit optimiza tion, for example, have been greatly influenced by results in optimal control, stabilization, estimation, optimization under conflicts, multi criteria optimization, control of large-scale systems, etc. The great success that has been achieved so far in utilizing modern control theory in economic systems should be attributed to the effort of control theorists as well as economists. Collaboration between the two groups of researchers has proven to be most successful in many instances; nevertheless, the gap between them has existed for some time. Whereas a control theorist frequently sets up a mathematically feasible model to obtain results that permit economic interpretations, an economist is concerned more with the fidelity of the model in representing a real world problem, and results that are obtained (through possibly less mathematical analysis) are due largely to economic insight. The papers appearing in this volume are divided into three parts. In Part I there are five papers on the application of control theory to economic planning. Part II contains five papers on exploration, exploita tion, and pricing of extractive natural resources. Finally, in Part III, some recent advances in large-scale systems and decentralized control appear.

Contenu
I. Control Theory in Economic Systems.- 1. Asset Pricing in an Economy with Production: A Selective Survey of Recent Work on Asset-Pricing Models.- 2. Alternative Long-Run Goals and the Theory of the Firm: Why Profit Maximization May Be a Better Assumption Than You Think.- 3. Mathematical Optimization and Economic Behavior.- 4. Performance Improvement of Uncertain Macroeconomic Systems.- 5. Stochastic Games, Oligopoly Theory, and Competitive Resource Allocation.- II. Dynamical Theory of the Economics of Extractive Natural Resources.- 6. Optimal Pricing, Use, and Exploration of Uncertain Natural Resource Stocks.- 7. Restricted Access to Common-Property Fishery Resources: A Game- Theoretic Analysis.- 8. Cartel and Oligopoly Pricing of Nonreplenishable Natural Resources.- 9. Optimum Extraction of an Exhaustible Resource: A Mathematical Analysis.- 10. Royalties and the Extraction Rate of an Exhaustible Resource.- III. Large-Scale Systems and Decentralized Control.- 11. Dynamics and Control of a System Composed of a Large Number of Similar Subsystems.- 12. Hierarchical Decisionmaking under Uncertainty.- 13. A Game-Theoretic Approach to Bureaucratic Behavior.- 14. Optimal Stabilization Policies for Decentralized Macroeconomic Systems with Conflicting Targets.- 15. A Minimum Principle for Decentralized Stochastic Control Problems.