Discrete-Time Stochastic Control and Dynamic Potential Games: The Euler-Equation Approach
​There are several techniques to study noncooperative dynamic games, such as dynamic programming and the maximum principle (also called the Lagrange method). It turns out, however, that one way to characterize dynamic potential games requires to analyze inverse optimal control problems, and it is here where the Euler equation approach comes in because it is particularly well–suited to solve inverse problems. Despite the importance of dynamic potential games, there is no systematic study about them. This monograph is the first attempt to provide a systematic, self–contained presentation of stochastic dynamic potential games.
1128876467
Discrete-Time Stochastic Control and Dynamic Potential Games: The Euler-Equation Approach
​There are several techniques to study noncooperative dynamic games, such as dynamic programming and the maximum principle (also called the Lagrange method). It turns out, however, that one way to characterize dynamic potential games requires to analyze inverse optimal control problems, and it is here where the Euler equation approach comes in because it is particularly well–suited to solve inverse problems. Despite the importance of dynamic potential games, there is no systematic study about them. This monograph is the first attempt to provide a systematic, self–contained presentation of stochastic dynamic potential games.
49.99 In Stock
Discrete-Time Stochastic Control and Dynamic Potential Games: The Euler-Equation Approach

Discrete-Time Stochastic Control and Dynamic Potential Games: The Euler-Equation Approach

Discrete-Time Stochastic Control and Dynamic Potential Games: The Euler-Equation Approach

Discrete-Time Stochastic Control and Dynamic Potential Games: The Euler-Equation Approach

eBook2013 (2013)

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Overview

​There are several techniques to study noncooperative dynamic games, such as dynamic programming and the maximum principle (also called the Lagrange method). It turns out, however, that one way to characterize dynamic potential games requires to analyze inverse optimal control problems, and it is here where the Euler equation approach comes in because it is particularly well–suited to solve inverse problems. Despite the importance of dynamic potential games, there is no systematic study about them. This monograph is the first attempt to provide a systematic, self–contained presentation of stochastic dynamic potential games.

Product Details

ISBN-13: 9783319010595
Publisher: Springer-Verlag New York, LLC
Publication date: 09/20/2013
Series: SpringerBriefs in Mathematics
Sold by: Barnes & Noble
Format: eBook
Pages: 69
File size: 1 MB

About the Author

David Gonzalez–Sanchez is Assistant Professor at ITAM Mathematics Department, Mexico City, Mexico. Onesimo Hernandez–Lerma is Professor and Chair, CINVESTAV–IPN Mathematics Department, Mexico City, Mexico.

Table of Contents

​Introduction and summary.- Direct problem: the Euler equation approach.- The inverse optimal control problem.- Dynamic games​.- Conclusion.- References.- Index
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