Black metal font. Early applications of dynamic optimization to economics are due to Ramsey and Hotelling in the 1920s. At that time the mathematical technique used to solve dynamic problems was the calculus of variations. Therefore in the following section we flrst state in a concise way the calculus of variations problem.

X Exclude words from your search Put - in front of a word you want to leave out. For example, jaguar speed -car Search for an exact match Put a word or phrase inside quotes. For example, 'tallest building'. Search for wildcards or unknown words Put a * in your word or phrase where you want to leave a placeholder. For example, 'largest * in the world'. Search within a range of numbers Put.

Between two numbers. For example, camera $50.$100. Combine searches Put 'OR' between each search query. For example, marathon OR race. • • • • • • • A list of topics by session is given in the below. Course Meeting Times Lectures: 2 sessions / week, 1.5 hours / session Recitations: 1 session / week, 1.5 hours / session Description This course focuses on dynamic optimization methods, both in discrete and in continuous time. We approach these problems from a dynamic programming and optimal control perspective.

We also study the dynamic systems that come from the solutions to these problems. The course will illustrate how these techniques are useful in various applications, drawing on many economic examples. However, the focus will remain on gaining a general command of the tools so that they can be applied later in other classes.

Prerequisites The prerequisites for this course are 14.06 Advanced Macroeconomics or permission of the instructor. Textbooks Required Stokey, Nancy L., and Robert E. Lucas, Jr., with Edward C.

Recursive Methods in Economic Dynamics. Cambridge, MA: Harvard University Press, 1989. Acemoglu, Daron. Princeton, NJ: Princeton University Press, 2008.

Recommended Chiang, Alpha C. Elements of Dynamic Optimization. Long Grove, IL: Waveland Press, 1999.

Luenberger, David. Optimization by Vector Space Methods. New York, NY: Wiley-Interscience, 1997.

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First published in 1969 by John Wiley and Sons, Inc. Kamien, Morton I., and Nancy L.

Dynamic Optimization: The Calculus of Variations and Optimal Control in Economics and Management. San Diego, CA: Elsevier, 1991. Course Requirements There will be several problem sets and a final exam. The problem sets will cover numerical methods related to lecture material.

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