Are Single-Leader-Multi-Follower Problems Particular Cases of Bilevel Optimization?
We study whether single-leader-multi-follower (SLMF) problems can be reformulated as bilevel optimization problems. We consider both optimistic and pessimistic formulations in which the followers solve a generalized Nash equilibrium problem. For the optimistic case the answer is positive: we derive an equivalent bilevel problem by representing the followers’ equilibria as fixed points of the solution … Read more