Academic literature on the topic 'Generalized Nash equilibrium problems'

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Journal articles on the topic "Generalized Nash equilibrium problems"

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Facchinei, Francisco, and Christian Kanzow. "Generalized Nash Equilibrium Problems." Annals of Operations Research 175, no. 1 (2009): 177–211. http://dx.doi.org/10.1007/s10479-009-0653-x.

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Facchinei, Francisco, and Christian Kanzow. "Generalized Nash equilibrium problems." 4OR 5, no. 3 (2007): 173–210. http://dx.doi.org/10.1007/s10288-007-0054-4.

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Nie, Jiawang, Xindong Tang, and Suhan Zhong. "Rational Generalized Nash Equilibrium Problems." SIAM Journal on Optimization 33, no. 3 (2023): 1587–620. http://dx.doi.org/10.1137/21m1456285.

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Pan, Chengqing, and Haishu Lu. "On the existence of solutions for systems of generalized vector quasi-variational equilibrium problems in abstract convex spaces with applications." AIMS Mathematics 9, no. 11 (2024): 29942–73. http://dx.doi.org/10.3934/math.20241447.

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<p>In this paper, we first introduced systems of generalized vector quasi-variational equilibrium problems as well as systems of vector quasi-variational equilibrium problems as their special cases in abstract convex spaces. Next, we established some existence theorems of solutions for systems of generalized vector quasi-variational equilibrium problems and systems of vector quasi-variational equilibrium problems in non-compact abstract convex spaces. Furthermore, we applied the obtained existence theorem of solutions for systems of vector quasi-variational equilibrium problems to solve
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Nasri, Mostafa, and Wilfredo Sosa. "Equilibrium problems and generalized Nash games." Optimization 60, no. 8-9 (2011): 1161–70. http://dx.doi.org/10.1080/02331934.2010.527341.

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Singh, Shipra, Aviv Gibali, and Simeon Reich. "Multi-Time Generalized Nash Equilibria with Dynamic Flow Applications." Mathematics 9, no. 14 (2021): 1658. http://dx.doi.org/10.3390/math9141658.

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We propose a multi-time generalized Nash equilibrium problem and prove its equivalence with a multi-time quasi-variational inequality problem. Then, we establish the existence of equilibria. Furthermore, we demonstrate that our multi-time generalized Nash equilibrium problem can be applied to solving traffic network problems, the aim of which is to minimize the traffic cost of each route and to solving a river basin pollution problem. Moreover, we also study the proposed multi-time generalized Nash equilibrium problem as a projected dynamical system and numerically illustrate our theoretical r
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YANG, ZHE. "Existence of solutions for a system of quasi-variational relation problems and some applications." Carpathian Journal of Mathematics 31, no. 1 (2015): 135–42. http://dx.doi.org/10.37193/cjm.2015.01.16.

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In this paper, we study the existence of solutions for a new class of systems of quasi-variational relation problems on different domains. As applications, we obtain existence theorems of solutions for systems of quasi-variational inclusions, systems of quasi-equilibrium problems, systems of generalized maximal element problems, systems of generalized KKM problems and systems of generalized quasi-Nash equilibrium problems on different domains. The results of this paper improve and generalize several known results on variational relation problems.
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Facchinei, Francisco, Andreas Fischer, and Veronica Piccialli. "Generalized Nash equilibrium problems and Newton methods." Mathematical Programming 117, no. 1-2 (2007): 163–94. http://dx.doi.org/10.1007/s10107-007-0160-2.

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Dreves, Axel, and Nathan Sudermann-Merx. "Solving linear generalized Nash equilibrium problems numerically." Optimization Methods and Software 31, no. 5 (2016): 1036–63. http://dx.doi.org/10.1080/10556788.2016.1165676.

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Dreves, Axel. "An algorithm for equilibrium selection in generalized Nash equilibrium problems." Computational Optimization and Applications 73, no. 3 (2019): 821–37. http://dx.doi.org/10.1007/s10589-019-00086-w.

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Dissertations / Theses on the topic "Generalized Nash equilibrium problems"

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Sudermann-Merx, Nathan Georg [Verfasser], and O. [Akademischer Betreuer] Stein. "Linear Generalized Nash Equilibrium Problems / Nathan Georg Sudermann-Merx. Betreuer: O. Stein." Karlsruhe : KIT-Bibliothek, 2016. http://d-nb.info/1102250236/34.

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Heusinger, Anna von. "Numerical Methods for the Solution of the Generalized Nash Equilibrium Problem." kostenfrei, 2009. http://www.opus-bayern.de/uni-wuerzburg/volltexte/2010/4766/.

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Dreves, Axel [Verfasser], and Christian [Akademischer Betreuer] Kanzow. "Globally Convergent Algorithms for the Solution of Generalized Nash Equilibrium Problems / Axel Dreves. Betreuer: Christian Kanzow." Würzburg : Universitätsbibliothek der Universität Würzburg, 2012. http://d-nb.info/1020570881/34.

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Harms, Nadja [Verfasser], and Christian [Gutachter] Kanzow. "Primal and Dual Gap Functions for Generalized Nash Equilibrium Problems and Quasi-Variational Inequalities / Nadja Harms. Gutachter: Christian Kanzow." Würzburg : Universität Würzburg, 2014. http://d-nb.info/1102828769/34.

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Börgens, Eike Alexander Lars Guido [Verfasser], Christian [Gutachter] Kanzow, and Radu Ioan [Gutachter] Boţ. "ADMM-Type Methods for Optimization and Generalized Nash Equilibrium Problems in Hilbert Spaces / Eike Alexander Lars Guido Börgens ; Gutachter: Christian Kanzow, Radu Ioan Boţ." Würzburg : Universität Würzburg, 2020. http://d-nb.info/1223851370/34.

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Rojas, Frank Navarro. "Condições de otimalidade, qualificação e métodos tipo Lagrangiano aumentado para problemas de equilíbrio de Nash generalizados." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/45/45132/tde-27032018-114413/.

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Esta tese é um estudo acerca do Problema de Equilíbrio de Nash Generalizado (GNEP). Na primeira parte, faremos um resumo dos principais conceitos sobre GNEPs, a relação com outros problemas já conhecidos e comentaremos brevemente os principais métodos já feitos até esta data para resolver numericamente este tipo de problema. Na segunda parte, estudamos condições de otimalidade e condições de qualificação (CQ) para GNEPs, fazendo uma analogia como em otimização. Estendemos os conceitos de cone tangente, normal, gerado pelas restrições ativas, linearizado e polar para a estrutura dos GNEPs. Cada
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Herrich, Markus. "Local Convergence of Newton-type Methods for Nonsmooth Constrained Equations and Applications." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-159569.

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In this thesis we consider constrained systems of equations. The focus is on local Newton-type methods for the solution of constrained systems which converge locally quadratically under mild assumptions implying neither local uniqueness of solutions nor differentiability of the equation function at solutions. The first aim of this thesis is to improve existing local convergence results of the constrained Levenberg-Marquardt method. To this end, we describe a general Newton-type algorithm. Then we prove local quadratic convergence of this general algorithm under the same four assumptions which
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Batista, Edvaldo Elias de Almeida. "Generalized vector equilibrium problems and algorithms for variational inequality in hadamard manifolds." Universidade Federal de Goiás, 2016. http://repositorio.bc.ufg.br/tede/handle/tede/6562.

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Submitted by Jaqueline Silva (jtas29@gmail.com) on 2016-12-09T17:10:49Z No. of bitstreams: 2 Tese - Edvaldo Elias de Almeida Batista - 2016.pdf: 1198471 bytes, checksum: 88d7db305f0cfe6be9b62496a226217f (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>Approved for entry into archive by Jaqueline Silva (jtas29@gmail.com) on 2016-12-09T17:11:03Z (GMT) No. of bitstreams: 2 Tese - Edvaldo Elias de Almeida Batista - 2016.pdf: 1198471 bytes, checksum: 88d7db305f0cfe6be9b62496a226217f (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>Made a
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Ye, Zhineng. "Solving Eight Treasures Of Game Theory Problems Using Bi-criteria Method." Case Western Reserve University School of Graduate Studies / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=case1454062652.

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Abada, Ibrahim. "Modélisation des marchés du gaz naturel en Europe en concurrence oligopolistique : le modèle GaMMES et quelques applications." Thesis, Paris 10, 2012. http://www.theses.fr/2012PA100043/document.

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Cette thèse étudie l’évolution des marchés du gaz naturel en Europe jusqu’en 2035 en utilisant les outils de la modélisation. Le modèle proposé, intitulé GaMMES, repose sur une description oligopolistique des marchés et ses principaux avantages sont les suivants : un niveau de détail important de la structure économique de la chaîne gazière et une prise en compte endogène des contrats de long-terme en amont ainsi que de la substitution avec les produits pétroliers et le charbon, au niveau de la demande. Dans un premier temps, nous étudions la question de la sécurité d’approvisionnement en gaz
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Books on the topic "Generalized Nash equilibrium problems"

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Aussel, Didier, and C. S. Lalitha, eds. Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-4774-9.

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Aussel, Didier, and C. S. Lalitha. Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC. Springer, 2018.

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Aussel, Didier, and C. S. Lalitha. Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC. Springer, 2018.

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Aussel, Didier, and C. S. Lalitha. Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC. Springer, 2018.

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Vanderschraaf, Peter. Dilemmas of Interaction. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199832194.003.0001.

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Problems of interaction, which give rise to justice, are structurally problems of game theory, the mathematical theory of interactive decisions. Five problems of interaction are introduced that are all intrinsically important and that help motivate important parts of the discussions in subsequent chapters: the Farmer’s Dilemma, impure coordination, the Stag Hunt, the free-rider problem, and the choice for a powerless party to acquiesce or resist. Elements of noncooperative game theory essential to analyzing problems of justice are reviewed, including especially games in the strategic and exten
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Book chapters on the topic "Generalized Nash equilibrium problems"

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Aguiar e Oliveira Junior, Hime. "Generalized Nash Equilibrium Problems and Fuzzy ASA." In Studies in Systems, Decision and Control. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-26467-7_6.

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Majig, Mend-Amar, Rentsen Enkhbat, and Masao Fukushima. "Evolutionary Algorithm for Generalized Nash Equilibrium Problems." In Optimization, Simulation, and Control. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-5131-0_7.

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Migot, Tangi, and Monica-G. Cojocaru. "Revisiting Path-Following to Solve the Generalized Nash Equilibrium Problem." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-63591-6_9.

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Gahururu, Deborah, Michael Hintermüller, Steven-Marian Stengl, and Thomas M. Surowiec. "Generalized Nash Equilibrium Problems with Partial Differential Operators: Theory, Algorithms, and Risk Aversion." In International Series of Numerical Mathematics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-79393-7_7.

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Konnov, Igor. "Application of the Decomposable Penalty Method to a Class of Generalized Nash Equilibrium Problems." In Trends in Mathematics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-93616-7_8.

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Dechboon, P., P. Kumam, and P. Chaipunya. "An Alternative Extragradient Method for a Vector Quasi-Equilibrium Problem to a Vector Generalized Nash Equilibrium Problem." In Studies in Systems, Decision and Control. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-98689-6_4.

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Grammatico, Sergio. "On Distributed Generalized Nash Equilibrium Seeking." In Analytics for the Sharing Economy: Mathematics, Engineering and Business Perspectives. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-35032-1_4.

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Ansari, Qamrul Hasan, Elisabeth Köbis, and Jen-Chih Yao. "Generalized Vector Equilibrium Problems." In Vector Optimization. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-63049-6_10.

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Gwinner, Joachim, Baasansuren Jadamba, Akhtar A. Khan, and Fabio Raciti. "Uncertainty Quantification in Nash Equilibrium Problems." In Uncertainty Quantification in Variational Inequalities. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781315228969-11.

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Balaj, Mircea, and Donal O’Regan. "A Generalized Quasi-Equilibrium Problem." In Nonlinear Analysis and Variational Problems. Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-0158-3_15.

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Conference papers on the topic "Generalized Nash equilibrium problems"

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Franci, Barbara, Filippo Fabiani, and Lorenzo Zino. "Generalized Nash equilibrium problems under partial-decision information with biased agents." In 2024 IEEE 63rd Conference on Decision and Control (CDC). IEEE, 2024. https://doi.org/10.1109/cdc56724.2024.10886508.

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Tao, Haochen, Shisheng Cui, and Jian Sun. "On the analysis of distributed splitting methods with variance reduction for stochastic generalized Nash equilibrium problems." In 2024 IEEE 63rd Conference on Decision and Control (CDC). IEEE, 2024. https://doi.org/10.1109/cdc56724.2024.10885901.

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Pan, Yong, Chuandong Li, Haonan Zhang, Ziye Hou, and Jiang Xiong. "Distributed Forward-Reflected-Douglas-Rachford Algorithms for Generalized Nash Equilibrium." In 2024 6th International Conference on Electronic Engineering and Informatics (EEI). IEEE, 2024. http://dx.doi.org/10.1109/eei63073.2024.10696033.

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Mignoni, Nicola, Paolo Scarabaggio, Sonia Marina Caselli, Raffaele Carli, and Mariagrazia Dotoli. "Generalized Nash Equilibrium Seeking for Crop Mix Selection in Sustainable Agriculture." In 2024 IEEE International Humanitarian Technologies Conference (IHTC). IEEE, 2024. https://doi.org/10.1109/ihtc61819.2024.10855039.

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Martinez-Piazuelo, Juan, Carlos Ocampo-Martinez, and Nicanor Quijano. "Generalized Nash Equilibrium Seeking in a Class of Contractive Population Games over Networks." In 2024 IEEE 63rd Conference on Decision and Control (CDC). IEEE, 2024. https://doi.org/10.1109/cdc56724.2024.10886517.

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Zhao, Yan, Min Meng, Xiuxian Li, and Jia Xu. "Distributed Generalized Nash Equilibrium Seeking for Constrained N-Cluster Games with Second-Order Dynamics." In 2024 IEEE 63rd Conference on Decision and Control (CDC). IEEE, 2024. https://doi.org/10.1109/cdc56724.2024.10885810.

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Jeria, Nicolás Rojas, Alejandro Angulo, and Lucas Bórquez Cerda. "A Real-Time Framework Design for Local Energy Markets Under a Generalized Nash Equilibrium considering Prosumers-Utility Electricity Market." In 2024 IEEE 42nd Central America and Panama Convention (CONCAPAN XLII). IEEE, 2024. https://doi.org/10.1109/concapan63470.2024.10933839.

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Hyland, David, Munyque Mittelmann, Aniello Murano, Giuseppe Perelli, and Michael Wooldridge. "Incentive Design for Rational Agents." In 21st International Conference on Principles of Knowledge Representation and Reasoning {KR-2023}. International Joint Conferences on Artificial Intelligence Organization, 2024. http://dx.doi.org/10.24963/kr.2024/44.

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We introduce Incentive Design: a new class of problems for equilibrium verification in multi-agent systems. In our model, agents attempt to maximize their utility functions, which are expressed as formulae in LTL[F], a quantitative extension of Linear Temporal Logic with functions computable in polynomial time. We assume agents are rational, in the sense that they adopt strategies consistent with game theoretic solution concepts such as Nash equilibrium. For each solution concept we consider, we analyze the problems of verifying whether an incentive scheme achieves a societal objective and fin
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Yu, Chung-Kai, Mikaela van der Schaar, and Ali H. Sayed. "Adaptive learning for stochastic generalized Nash equilibrium problems." In 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2016. http://dx.doi.org/10.1109/icassp.2016.7472597.

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Bianchi, Mattia, Emilio Benenati, and Sergio Grammatico. "Linear Convergence in Time-Varying Generalized Nash Equilibrium Problems." In 2023 62nd IEEE Conference on Decision and Control (CDC). IEEE, 2023. http://dx.doi.org/10.1109/cdc49753.2023.10383331.

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Reports on the topic "Generalized Nash equilibrium problems"

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Perdigão, Rui A. P., and Julia Hall. Spatiotemporal Causality and Predictability Beyond Recurrence Collapse in Complex Coevolutionary Systems. Meteoceanics, 2020. http://dx.doi.org/10.46337/201111.

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Causality and Predictability of Complex Systems pose fundamental challenges even under well-defined structural stochastic-dynamic conditions where the laws of motion and system symmetries are known. However, the edifice of complexity can be profoundly transformed by structural-functional coevolution and non-recurrent elusive mechanisms changing the very same invariants of motion that had been taken for granted. This leads to recurrence collapse and memory loss, precluding the ability of traditional stochastic-dynamic and information-theoretic metrics to provide reliable information about the n
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