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Titlebook: Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC; Didier Aussel,C.S. Lalitha Book 2017 Springer Nature Singapore Pte Lt

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https://doi.org/10.1007/978-1-349-14805-9applying specially adapted CQs, we want to present here a variational-analytic approach to dual stationarity conditions for MPECs on the basis of Lipschitzian properties of the perturbed generalized equation. The focus will be on the so-called calmness property, ensuring an appropriate calculus rule for the Mordukhovich normal cone.
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,Calmness as a Constraint Qualification for M-Stationarity Conditions in MPECs,applying specially adapted CQs, we want to present here a variational-analytic approach to dual stationarity conditions for MPECs on the basis of Lipschitzian properties of the perturbed generalized equation. The focus will be on the so-called calmness property, ensuring an appropriate calculus rule for the Mordukhovich normal cone.
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Optimality Conditions for Bilevel Programming: An Approach Through Variational Analysis,itions. We also relate various solution concepts in bilevel programming and establish some new connections. We study in considerable detail the notion of partial calmness and its application to derive necessary optimality conditions and also give some illustrative examples.
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Contemporary British Industrial Relationstion of this problem which leads to a nonsmooth optimization problem. Besides the resulting necessary optimality conditions, first solution algorithms for the bilevel problem using these transformations are presented.
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https://doi.org/10.1057/9781137429353lts we obtained recently. We also briefly discuss some ongoing related research. As an illustrative example, a section is devoted to the computation of the Independent System Operator response function for a symmetric binodal setting with piece-wise linear production cost functions.
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