“…x ∈ X, y ∈ S(x), (1.3) which is actually designed to handle problems with multiple lower-level solutions. The setvalued mapping S in the latter problem denotes the set of optimal solutions of the lower-level problem (1.2), i.e., precisely, More details on solution methods using explicitly or implicitly imposed well-posedness can be found in [5,7,8,24,30,31,39] and references therein. It is important to note that well-posed problems are naturally advantageous for the leader, but do not reflect most real-world systems, where the reaction of the follower should be based on her/his best interest, whether it suits the upper-level or not.…”