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Titlebook: Discrete–Time Stochastic Control and Dynamic Potential Games; The Euler–Equation A David González-Sánchez,Onésimo Hernández-Lerma Book 2013

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发表于 2025-3-21 19:06:25 | 显示全部楼层 |阅读模式
书目名称Discrete–Time Stochastic Control and Dynamic Potential Games
副标题The Euler–Equation A
编辑David González-Sánchez,Onésimo Hernández-Lerma
视频video
概述Presents a systematic, comprehensive, self-contained analysis of dynamic potential games, which appears for the first time in book form?.Reader-friendly, at a graduate student level.Substantial number
丛书名称SpringerBriefs in Mathematics
图书封面Titlebook: Discrete–Time Stochastic Control and Dynamic Potential Games; The Euler–Equation A David González-Sánchez,Onésimo Hernández-Lerma Book 2013
描述​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.
出版日期Book 2013
关键词Dynamic games; Dynamic potential games; Euler equation; Inverse optimal control problems; Stochastic opt
版次1
doihttps://doi.org/10.1007/978-3-319-01059-5
isbn_softcover978-3-319-01058-8
isbn_ebook978-3-319-01059-5Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightDavid González-Sánchez and Onésimo Hernández-Lerma 2013
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发表于 2025-3-22 00:19:32 | 显示全部楼层
Direct Problem: The Euler Equation Approach,g Gâteaux differentials, that the so-called Euler equation (EE) and a transversality condition (TC) are necessary conditions for optimality. In particular, the TC is obtained in a more general form and under milder hypotheses than in previous works. Sufficient conditions are also provided. We find c
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The Inverse Optimal Control Problem,ution to a system of stochastic difference equations to be the solution of a certain OCP. Our results extend to the stochastic case the work of Dechert [21]. In particular, we present a stochastic version of an important principle in welfare economics. The presentation of this chapter is based on González–Sánchez and Hernández–Lerma [36].
发表于 2025-3-22 21:02:01 | 显示全部楼层
Dynamic Games,blems (OCPs), to find Nash equilibria in dynamic games. Second, to identify classes of dynamic potential games (DPGs), that is, games with Nash equilibria that can be found by solving a single OCP. In particular, the stochastic lake game (SLG) of Example 1.2 is included in one of these classes.
发表于 2025-3-23 00:09:15 | 显示全部楼层
Conclusions and Suggestions for Future Research,Both direct and inverse problems in optimal control were considered in Chaps. 2 and 3, respectively. In Chap. 4 we dealt with dynamic games. Some of our main results are mentioned below in addition to discussing their relevance and possible generalizations.
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发表于 2025-3-23 07:16:57 | 显示全部楼层
Irrigated Agriculture at the Crossroadsg Gâteaux differentials, that the so-called Euler equation (EE) and a transversality condition (TC) are necessary conditions for optimality. In particular, the TC is obtained in a more general form and under milder hypotheses than in previous works. Sufficient conditions are also provided. We find c
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