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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 66, 2017 - Issue 6: Variational Analysis and Nonsmooth Optimization Dedicated to Professor Franco Giannessi on the occasion of his 80th birthday and to Professor Diethard Pallaschke on the occasion of his 75th birthday
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Articles

Nash equilibrium in a pay-as-bid electricity market Part 2 - best response of a producer

D. AusselLab. PROMES UPR CNRS 8521, Université de Perpignan, Perpignan, France.Correspondence[email protected]
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P. BendottiOSIRIS Department, EDF R&D, Clamart, France.View further author information
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M. PištěkRegional Innovation Centre of Electrical Engineering, University of West Bohemia in Pilsen, Pilsen, Czech Republic.View further author information
Pages 1027-1053 | Received 23 Oct 2015, Accepted 27 Jun 2016, Published online: 20 Sep 2016

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Martin Branda, René Henrion & Miroslav Pištěk. (2023) Value at risk approach to producer's best response in an electricity market with uncertain demand. Optimization 72:11, pages 2745-2767.
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Michael Herty, Sonja Steffensen & Anna Thünen. (2022) Solving quadratic multi-leader-follower games by smoothing the follower's best response. Optimization Methods and Software 37:2, pages 772-799.
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Irene Benedetti & Silvia Lorenzini. (2024) Projected solutions for generalized quasivariational inequalities without compact constraint multimap. Communications in Nonlinear Science and Numerical Simulation 129, pages 107687.
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Juan Pablo Luna, Claudia Sagastizábal, Julia FilibertiSteven A. GabrielMikhail V. Solodov. (2023) Regularized Equilibrium Problems with Equilibrium Constraints with Application to Energy Markets. SIAM Journal on Optimization 33:3, pages 1767-1796.
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Wanying Li, Fugui Dong, Zhengsen Ji & Meijuan Xia. (2023) Analysis of the compound differential evolution game of new energy manufacturers’ two-stage market behavior under the weight of consumption responsibility. Energy 264, pages 126299.
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Michael Herty, Sonja Steffensen & Anna Thünen. (2022) Multiscale control of Stackelberg games. Mathematics and Computers in Simulation 200, pages 468-488.
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Gopika Jayadev, Benjamin D. Leibowicz, Jonathan F. Bard & Baturay Çalcı. (2022) Strategic interactions between liquefied natural gas and domestic gas markets: A bilevel model. Computers & Operations Research 144, pages 105807.
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Fugui Dong, Wanying Li, Zhengsen Ji & Shafaq Fatema. (2021) Bidding strategy of thermal power compound differential evolution game under the market mechanism of peak regulation auxiliary service. IET Generation, Transmission & Distribution 15:12, pages 1871-1883.
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S. Dempe, O. Khamisov & Yu. Kochetov. (2019) A special three-level optimization problem. Journal of Global Optimization 76:3, pages 519-531.
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Francesco Caruso, M. Beatrice Lignola & Jacqueline Morgan. 2020. Bilevel Optimization. Bilevel Optimization 77 138 .
Didier Aussel & Anton Svensson. 2020. Bilevel Optimization. Bilevel Optimization 53 76 .
Stephan Dempe. 2020. Bilevel Optimization. Bilevel Optimization 581 672 .
Damien Bazin, Ludovic Julien & Olivier Musy. 2020. Bilevel Optimization. Bilevel Optimization 27 51 .
Alireza Akbari-Dibavar, Behnam Mohammadi-Ivatloo & Kazem Zare. 2020. Electricity Markets. Electricity Markets 19 35 .
Le Hai Yen, Nguyen Thi Thanh Huyen & Le Dung Muu. (2019) A subgradient algorithm for a class of nonlinear split feasibility problems: application to jointly constrained Nash equilibrium models. Journal of Global Optimization 73:4, pages 849-868.
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Wim van Ackooij, Jérôme De Boeck, Boris Detienne, Stefania Pan & Michael Poss. (2018) Optimizing power generation in the presence of micro-grids. European Journal of Operational Research 271:2, pages 450-461.
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Sinan Yörükoğlu, Zeynep Müge Avşar & Bora Kat. (2018) An integrated day-ahead market clearing model: Incorporating paradoxically rejected/accepted orders and a case study. Electric Power Systems Research 163, pages 513-522.
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Elisabetta Allevi, Didier Aussel & Rossana Riccardi. (2017) On an equilibrium problem with complementarity constraints formulation of pay-as-clear electricity market with demand elasticity. Journal of Global Optimization 70:2, pages 329-346.
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Didier Aussel, Asrifa Sultana & Vellaichamy Vetrivel. (2016) On the Existence of Projected Solutions of Quasi-Variational Inequalities and Generalized Nash Equilibrium Problems. Journal of Optimization Theory and Applications 170:3, pages 818-837.
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