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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.
This monograph provides the first systematic presentation of stochastic dynamic potential games, focusing on the Euler equation approach to solve inverse optimal control problems. The author, Onesimo Hernandez-Lerma, draws upon techniques from dynamic programming and the maximum principle to explore these games. The book addresses the challenge of characterizing dynamic potential games, which often requires analyzing inverse optimal control problems, a task for which the Euler equation approach is particularly well-suited. It aims to fill a gap in the literature by offering a self-contained treatment of this complex topic.
The book is presented as a foundational text, offering the first systematic treatment of stochastic dynamic potential games. Its focus on the Euler equation approach suggests a rigorous mathematical treatment aimed at researchers and advanced students in control theory and game theory. The monograph is likely to be valued for its self-contained presentation and its contribution to a specialized area of mathematical economics and engineering.
Page Count:
69
Publication Date:
2013-01-01
ISBN-10:
3319010581
ISBN-13:
9783319010588
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