Foundations of bilevel programming

Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Combinatorial optimization (90C27) Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming (90-02)

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Algorithms for a Class of Bilevel Optimization and Optimal Control Problems with a Nonsmooth Lower Level, Bilevel Models for Investment Policy in Resource-Rich Regions, On a Solving Bilevel D.C.-Convex Optimization Problems, Risk-Averse Models in Bilevel Stochastic Linear Programming, Semivectorial bilevel programming versus scalar bilevel programming, A Bilevel Stochastic Programming Problem with Random Parameters in the Follower’s Objective Function, A Cut Generation Algorithm of Finding an Optimal Solution in a Market Competition, Bilevel Optimization as a Regularization Approach to Pseudomonotone Equilibrium Problems, Solution of bilevel optimization problems using the KKT approach, The Standard Pessimistic Bilevel Problem, Iteration and evaluation complexity for the minimization of functions whose computation is intrinsically inexact, New subgradient extragradient methods for solving monotone bilevel equilibrium problems, Computing Feasible Points of Bilevel Problems with a Penalty Alternating Direction Method, Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation, Smoothing SQP Methods for Solving Degenerate Nonsmooth Constrained Optimization Problems with Applications to Bilevel Programs, The Price of Inexactness: Convergence Properties of Relaxation Methods for Mathematical Programs with Complementarity Constraints Revisited, A multi-leader-follower game for energy demand-side management, An inertial extrapolation method for convex simple bilevel optimization, Mathematical programs with equilibrium constraints: a sequential optimality condition, new constraint qualifications and algorithmic consequences, On Stackelberg–Nash Equilibria in Bilevel Optimization Games, A Short State of the Art on Multi-Leader-Follower Games, Regularization and Approximation Methods in Stackelberg Games and Bilevel Optimization, Bilevel Optimization and Variational Analysis, Constraint Qualifications and Optimality Conditions in Bilevel Optimization, Algorithms for Simple Bilevel Programming, Algorithms for Linear Bilevel Optimization, Global Search for Bilevel Optimization with Quadratic Data, MPEC Methods for Bilevel Optimization Problems, Methods for Pessimistic Bilevel Optimization, Methods for Multiobjective Bilevel Optimization, Bilevel Optimal Control: Existence Results and Stationarity Conditions, Bilevel Linear Optimization Under Uncertainty, Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography, Convergence of quasi-Newton methods for solving constrained generalized equations, Optimality Conditions and Duality for Semi-Infinite Mathematical Programming Problem with Equilibrium Constraints, Computational complexity of the discrete competitive facility location problem, On complexity of the bilevel location and pricing problems, Globally convergent homotopy algorithm for solving the KKT systems to the principal-agent bilevel programming, Sufficient Optimality Conditions in Bilevel Programming, Core Pricing in Combinatorial Exchanges with Financially Constrained Buyers: Computational Hardness and Algorithmic Solutions