Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC. 1st ed. 2017

種類:

電子ブック

責任表示:

edited by Didier Aussel, C.S. Lalitha

出版情報:

Singapore : Springer Nature Singapore : Imprint: Springer, 2017

著者名:

• Aussel, Didier.
• Lalitha, C.S.
• SpringerLink (Online service)

シリーズ名:

Forum for Interdisciplinary Mathematics ;

ISBN:

9789811047749 [981104774X]    

注記:

Chapter 1. Bilevel Optimization: Reformulation and First Optimality Conditions -- Chapter 2. Calmness as a Constraint Qualification for M-Stationarity Conditions in MPECs -- Chapter 3. Optimality Conditions for Bilevel Programming: An Approach Through Variational Analysis -- Chapter 4. Mechanism Design and Auctions for Electricity Network -- Chapter 5. Reflection Methods for Inverse Problems with Applications to Protein Conformation Determination -- Chapter 6. On Single-Valuedness of Quasimonotone Set-Valued Operators.
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

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