Extension of the value function reformulation to multiobjective bilevel optimization

Abstract We consider a multiobjective bilevel optimization problem with vector-valued upper- and lower-level objective functions. Such problems have attracted lot of interest in recent years. However, so far, scalarization has appeared to be the main approach used deal problem. Here, we utilize concept frontier map that extends notion optimal value function our parametric Based on this, build tractable constraint qualification use derive necessary optimality conditions for Subsequently, show resulting represent natural extension from standard optimistic programs scalar