This book provides a unified approach for the study of constrained Markov decision
processes with a finite state space and unbounded costs. Unlike the single controller case …

Bilevel programming problems are hierarchical optimization problems where the constraints
of one problem (the so-called upper level problem) are defined in part by a second …

We are concerned with weak Stackelberg problems such as those considered in [19],[23]
and [25]. Based on a method due to Molodtsov, we present new results to approximate such …

The analysis, processing, evolution, optimization and/or regulation, and control of shapes
and images appear naturally in engineering (shape optimization, image processing, visual …

A bilevel programming problem S is considered. First, sufficient conditions of minimal
character are given on the data of the problem in order to guarantee the lower …

We are concerned with two-level optimization problems called strongweak Stackelberg
problems, generalizing the class of Stackelberg problems in the strong and weak sense. In …

We explore convergence notions for bivariate functions that yield convergence and stability
results for their maxinf (or minsup) points. This lays the foundations for the study of the …

Let E be a Hausdorff topological vector space and let us consider, for any n∈ N, the
following quasi-variational inequalities (in short qvi)[1]:(1.1) n find un∈ E such that fn (un …

A two-level optimization problem corresponding to a Stackelberg game in which one of the
two players has the leadership in playing the game is considered. First, a review of previous …

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