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Home > Business & Economics > Economics > Econometrics > LQ Dynamic Optimization and Differential Games-eBook
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LQ Dynamic Optimization and Differential Games
A self-contained introduction to an extensively used of economic models. Linear Quadratic Differential Games is an assessment of the state of the art in its field and modern book on linear-quadratic game theory, one of the most commonly used tools for modelling and analysing strategic decision making problems in economics and management. Linear quadratic dynamic models have a long tradition in economics, operations research and control engineering; and the author begins by describing the one-decision maker LQ dynamic optimization problem before introducing LQ differential games. Covers cooperative and non-cooperative scenarios, and treats the standard information structures (open-loop and feedback). Includes real-life economic examples to illustrate theoretical concepts and results. Presents problem formulations and sound mathematical problem analysis. Includes exercises and solutions, enabling use for self-study or as a course text. Supported by a website featuring solutions to exercises, further examples and computer code for numerical examples. This comprehensive introduction will appeal to applied mathematicians and econometricians as well as researchers and senior undergraduate/ graduate students in economics, mathematics, engineering and management science.
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Title of ebook: LQ Dynamic Optimization and Differential Games
ISBN: 9780470015513
Publisher: John Wiley & Sons, Inc.
Internet download file size: 3858 kb
Released online for download: 11-01-2005
Author of eBook: Engwerda, Jacob

LQ Dynamic Optimization and Differential Games


Chapter One

Introduction

1.1 Historical perspective

Dynamic game theory brings together four features that are key to many situations in economics, ecology and elsewhere: optimizing behavior, the presence of multiple agents/ players, enduring consequences of decisions and robustness with respect to variability in the environment.

To deal with problems which have these four features the dynamic game theory methodology splits the modeling of the problem into three parts. One part is the modeling of the environment in which the agents act. To obtain a mathematical model of the agents' environment a set of differential or difference equations is usually specified. These equations are assumed to capture the main dynamical features of the environment. A characteristic property of this specification is that these dynamic equations mostly contain ... read full excerpt from LQ Dynamic Optimization and Differential Games ebook



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