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Titlebook: Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC; Didier Aussel,C.S. Lalitha Book 2017 Springer Nature Singapore Pte Lt

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书目名称Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC
编辑Didier Aussel,C.S. Lalitha
视频video
概述Deals with three frontiers in applied mathematics: generalized Nash equilibrium problems, bi-level programming, and mathematical programs with equilibrium constants (MPECs), with equilibrium being the
丛书名称Forum for Interdisciplinary Mathematics
图书封面Titlebook: Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC; Didier Aussel,C.S. Lalitha Book 2017 Springer Nature Singapore Pte Lt
描述.The book discusses three classes of problems: the generalized Nash equilibrium problems, the bilevel problems and the mathematical programming with equilibrium constraints  (MPEC). These problems interact through their mathematical analysis as well as their applications. The primary aim of the book is to present the modern tool of variational analysis and optimization, which are used to analyze these three classes of problems. All contributing authors are respected academicians, scientists and researchers from around the globe. These contributions are based on the lectures delivered by experts at CIMPA School, held at the University of Delhi, India, from 25 November–6 December 2013, and peer-reviewed by international experts...The book contains five chapters. Chapter 1 deals with nonsmooth, nonconvex bilevel optimization problems whose feasible set is described by using the graph of the solution set mapping of a parametric optimization problem. Chapter 2 describes a constraint qualification to MPECs considered as an application of calmness concept of multifunctions and is used to derive M-stationarity conditions for MPEC. Chapter 3 discusses the first- and second-order optimality
出版日期Book 2017
关键词Bilevel Optimization Problem; Mathematical Programming; Equilibrium Constraints; Nash Equilibrium Probl
版次1
doihttps://doi.org/10.1007/978-981-10-4774-9
isbn_softcover978-981-13-3842-7
isbn_ebook978-981-10-4774-9Series ISSN 2364-6748 Series E-ISSN 2364-6756
issn_series 2364-6748
copyrightSpringer Nature Singapore Pte Ltd. 2017
The information of publication is updating

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Optimality Conditions for Bilevel Programming: An Approach Through Variational Analysis,set and not described by any equalities and inequalities. In such a situation, we can view them as MPEC problems and develop necessary optimality conditions. We also relate various solution concepts in bilevel programming and establish some new connections. We study in considerable detail the notion
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,Mechanism Design and Auctions for Electricity Networks,nism design. Some of the results stemming from these models are the computation of an optimal allocation for the Independent System Operator, the study of equilibria (existence and uniqueness in particular) and the design of mechanisms to increase the social surplus. More generally, this field of re
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Reflection Methods for Inverse Problems with Applications to Protein Conformation Determination,n of finitely many sets. In this chapter, we demonstrate that applied to a specific problem, the method can benefit from heuristics specific to said problem which exploit its special structure. In particular, we focus on the problem of protein conformation determination formulated within the framewo
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Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC
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Book 2017 solution set mapping of a parametric optimization problem. Chapter 2 describes a constraint qualification to MPECs considered as an application of calmness concept of multifunctions and is used to derive M-stationarity conditions for MPEC. Chapter 3 discusses the first- and second-order optimality
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