On Stackelberg-Nash equilibria in bilevel optimization games

Damien Bazin (), Ludovic Julien () and Olivier Musy
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Damien Bazin: GREDEG - Groupe de Recherche en Droit, Economie et Gestion - UNS - Université Nice Sophia Antipolis (1965 - 2019) - CNRS - Centre National de la Recherche Scientifique - UniCA - Université Côte d'Azur

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Abstract: 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. 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.

Keywords: mathematical optimization; management science; game theory; bilevel optimization (search for similar items in EconPapers)
Date: 2021-03-11
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Published in Dempe, Stephan, Zemkoho, Alain (Eds.). Bilevel optimization: Advances and next challenges, Springer, pp.21-51, In press, 978-3-030-52119-6

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Related works:
Chapter: On Stackelberg–Nash Equilibria in Bilevel Optimization Games (2020)
Working Paper: On Stackelberg-Nash equilibria in bilevel optimization games (2020)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-03045523

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