Bilevel optimization : advances and next challenges / editors Stephan Dempe, Institute of Numerical Mathematics and Optimization TU Bergakademie Freigberg Freiberg Germany, Alain Zemkoho, School of Mathematical Science University of Southampton Southampton, UK.

Contributor(s): Dempe, Stephan [editor.] | Zemkoho, Alain [editor.]Material type: TextTextLanguage: English Series: Springer optimization and its applications ; 161.Publisher: Cham, Switzerland : Springer, 2020Copyright date: ©2020Description: xv, 672 pages : illustrations ; 24 cmContent type: text Media type: unmediated Carrier type: volumeISBN: 9783030521196 (ebook)Subject(s): Mathematical optimization | Operations research | Decision making | Game theoryLOC classification: QA402.5 .D46 2020
Contents:
Part I Bilevel Optimization, Game Theory, and Application.
Part II Theory and Methods for Linear and Nonlinear Bilevel Optimization.
Summary: 2019 marked the 85th anniversary of Heinrich Freiherr von Stackelbergs habilitation thesis "Marktform und Gleichgewicht," which formed the roots of bilevel optimization. Research on the topic has grown tremendously since its introduction in the field of mathematical optimization. Besides the substantial advances that have been made from the perspective of game theory, many sub-fields of bilevel optimization have emerged concerning optimal control, multiobjective optimization, energy and electricity markets, management science, security and many more. Each chapter of this book covers a specific aspect of bilevel optimization that has grown significantly or holds great potential to grow, and was written by top experts in the corresponding area. In other words, unlike other works on the subject, this book consists of surveys of different topics on bilevel optimization. Hence, it can serve as a point of departure for students and researchers beginning their research journey or pursuing related projects. It also provides a unique opportunity for experienced researchers in the field to learn about the progress made so far and directions that warrant further investigation. All chapters have been peer-reviewed by experts on mathematical optimization
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Includes bibliographical references (pages 607-672).

Part I Bilevel Optimization, Game Theory, and Application.

Part II Theory and Methods for Linear and Nonlinear Bilevel Optimization.

2019 marked the 85th anniversary of Heinrich Freiherr von Stackelbergs habilitation thesis "Marktform und Gleichgewicht," which formed the roots of bilevel optimization. Research on the topic has grown tremendously since its introduction in the field of mathematical optimization. Besides the substantial advances that have been made from the perspective of game theory, many sub-fields of bilevel optimization have emerged concerning optimal control, multiobjective optimization, energy and electricity markets, management science, security and many more. Each chapter of this book covers a specific aspect of bilevel optimization that has grown significantly or holds great potential to grow, and was written by top experts in the corresponding area. In other words, unlike other works on the subject, this book consists of surveys of different topics on bilevel optimization. Hence, it can serve as a point of departure for students and researchers beginning their research journey or pursuing related projects. It also provides a unique opportunity for experienced researchers in the field to learn about the progress made so far and directions that warrant further investigation. All chapters have been peer-reviewed by experts on mathematical optimization