Foundations Dynamic Economic Anly

1. Essential elements of continuous time dynamic optimization; 2. Necessary conditions for a simplified control problem; 3. Concavity and sufficiency in optimal control problems; 4. The maximum principle and economic interpretations; 5. Linear optimal control problems; 6. Necessary and sufficient conditions for a general class of control problems; 7. Necessary and sufficient conditions for isoperimetric problems; 8. Economic characterization of reciprocal isoperimetric problems; 9. The dynamic envelope theorem and economic interpretations; 10. The dynamic envelope theorem and transversality conditions; 11. Comparative dynamics via envelope methods; 12. Discounting, current values, and time consistency; 13. Local stability and phase portraits of autonomous differential equations; 14. Necessary and sufficient conditions for infinite horizon control problems; 15. The neoclassical optimal economic growth model; 16. A dynamic limit pricing model of the firm; 17. The adjustment cost model of the firm; 18. Qualitative properties of infinite horizon optimal control problems with one state variable and one control variable; 19. Dynamic programming and the Hamilton-Jacobi-Bellman equation; 20. Intertemporal duality in the adjustment cost model of the firm.

Michael R. Caputo is Professor of Economics in the College of Business Administration, University of Central Florida, in Orlando. He was awarded his PhD in economics from the University of Washington, where he received the Henry C. Beuchel memorial award for distinguished undergraduate teaching by the Department of Economics in 1986. Professor Caputo then taught in the Department of Agriculture and Resource Economics at the University of California, Davis from 1987 to 2003. In 1998 he was inducted into the volume "Who's Who Among America's Teachers". Professor Caputo's research has appeared in numerous peer-reviewed journals, including the Review of Economic Studies, Journal of Economic Theory, International Economic Review, Review of Economics and Statistics, Journal of Economic Dynamics and Control, Journal of Mathematical Economics, Journal of Optimization Theory and Applications, Journal of Economics, and the American Journal of Agricultural Economics.

"Michael Caputo's Foundations of Dynamic Economic Analysis presents a well-written, complete, up to date exposition of the theory and techniques of dynamic optimization applied to a variety of economics problems. Of special interest is the presentation of Caputo's generalization of Silberberg's primal-dual approach to comparative statics and comparative dynamics." -Morton Kamien, Northwestern University