• bilevel optimization

This thesis aims to consolidate fundamental knowledge on bilevel optimization. The first chapter provides an overview of its origins, general definitions, and key problems. In the second chapter, we delve into linear cases, discussing their geometrical properties, the existence of solutions, and an exploration of various resolution algorithms. This chapter concludes with a forward-looking section on potential advancements in handling uncertainty. Each section includes illustrative examples to enhance understanding and bridge theory with practice.