Abstract

Multi-Leader-Follower games are complex optimization problems that mix a bilevel structure with one or more Nash games. Such kinds of models have been already described in the seminal book of H. von Stackelberg ((1934)Marktform und Gleichgewicht. Springer, Berlin); von Stackelberg et al. ((2011) Market structure and equilibrium. Springer, Heidelberg) and are known to perfectly fit to a lot of applications involving non cooperative situations with hierarchical interactions. Nevertheless it is only recently that theoretical and numerical developments for Multi-Leader-Follower problems have been made. This chapter aims to propose a state of the art of this field of research at the frontier between optimization and economics.