Bilevel Optimization : Advances and Next Challenges /

2019 marked the 85th anniversary of Heinrich Freiherr von Stackelberg's 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. Bes...

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Bibliographic Details
Corporate Author:	SpringerLink (Online service)
Other Authors:	Dempe, Stephan (Editor), Zemkoho, Alain (Editor)
Format:	eBook
Language:	English
Published:	Cham : Springer International Publishing : Imprint: Springer, 2020.
Edition:	1st ed. 2020.
Series:	Springer Optimization and Its Applications, 161
Subjects:	Operations research. Decision making. Mathematical optimization. Game theory. Operations Research/Decision Theory. Optimization. Game Theory. Game Theory, Economics, Social and Behav. Sciences. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Part I: Bilevel optimization, game theory, and applications
Interactions between bilevel optimization and Nash games
On Stackelberg-Nash equilibria in bilevel optimization games
A short state of the art on Multi-Leader-Follower games
Regularization and approximation methods in Stackelberg games and bilevel optimization
Applications of bilevel optimization in energy and electricity markets
Bilevel optimization of regularization hyperparameters in machine Learning
Part II: Theory and methods for linear and nonlinear bilevel optimization
Bilevel optimization and variational analysis
Constraint qualifications and optimality conditions in bilevel optimization
Algorithms for simple bilevel programming
Algorithms for linear bilevel optimization
Global search for bilevel optimization with quadratic data
MPEC methods for bilevel optimization problems
Approximate bilevel optimization with population-based evolutionary algorithms
Methods for pessimistic bilevel optimization
Part III: Extensions and uncertainty in bilevel optimization
Methods for multiobjective bilevel optimization
Bilevel optimal control: existence results and stationarity conditions
Bilevel linear optimization under uncertainty
A unified framework for multistage mixed integer linear optimization
Part IV: Numerical and research tools for bilevel optimization
BOLIB: Bilevel Optimization LIBrary of test problems
Bilevel optimization: theory, algorithms and applications
Appendix: Bilevel optimization: bibliography.