Is pessimistic bilevel programming a special case of a mathematical program with complementarity constraints?

DOI10.1007/s10957-018-01467-7zbMath1414.90324OpenAlexW2909677344WikidataQ128624156 ScholiaQ128624156MaRDI QIDQ2420795

Anton Svensson, Didier Aussel

Publication date: 7 June 2019

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-018-01467-7

zbMATH Keywords

mathematical programming with complementarity constraintsbilevel problempessimistic approach

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Nonlinear programming (90C30) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (9)

Analysis of a new sequential optimality condition applied to mathematical programs with equilibrium constraints ⋮ A survey on bilevel optimization under uncertainty ⋮ Random multifunctions as set minimizers of infinitely many differentiable random functions ⋮ Single-Leader-Radner-equilibrium: a new approach for a class of bilevel problems under uncertainty ⋮ Semivectorial bilevel programming versus scalar bilevel programming ⋮ Tri-level mixed-binary linear programming: solution approaches and application in defending critical infrastructure ⋮ A trilevel model for best response in energy demand-side management ⋮ Methods for Pessimistic Bilevel Optimization ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography

Cites Work

• Unnamed Item
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• New Necessary Optimality Conditions for Bilevel Programs by Combining the MPEC and Value Function Approaches
• Generalized equations and their solutions, part II: Applications to nonlinear programming
• Sensitivity Analysis for Two-Level Value Functions with Applications to Bilevel Programming
• Necessary optimality conditions in pessimistic bilevel programming
• Nonlinear Programming

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