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

Author: Grafiati

Published: 10 March 2023

Last updated: 31 July 2025

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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

Svensson, Anton. "Non-smooth and variational analysis of optimization problems and multi-leader-follower games." Thesis, Perpignan, 2020. http://www.theses.fr/2020PERP0003.

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Cette thèse, dont le cadre général est l'optimisation, traite de problèmes d'optimisation non-lisse et de problèmes de théorie des jeux. Elle est constituée de quatre parties. Dans la première, nous présentons le contexte et l'introduction. Dans la deuxième partie, nous discutons quelques règles de calcul sous-différentiel dans des espaces généraux, et présentons notamment certaines formules plus fortes que l'état de l'art, autant dans le cas convexe que dans le cas non convexe. L'accent est mis sur les règles de calcul et conditions d'optimalité approchées et "fuzzy", pour lesquelles aucune c

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12

Dutang, Christophe. "Etude des marchés d'assurance non-vie à l'aide d'équilibre de Nash et de modèle de risques avec dépendance." Phd thesis, Université Claude Bernard - Lyon I, 2012. http://tel.archives-ouvertes.fr/tel-00703797.

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L'actuariat non-vie étudie les différents aspects quantitatifs de l'activité d'assurance. Cette thèse vise à expliquer sous différentes perspectives les interactions entre les différents agents économiques, l'assuré, l'assureur et le marché, sur un marché d'assurance. Le chapitre 1 souligne à quel point la prise en compte de la prime marché est importante dans la décision de l'assuré de renouveler ou non son contrat d'assurance avec son assureur actuel. La nécessitéd'un modèle de marché est établie. Le chapitre 2 répond à cette problématique en utilisant la théorie des jeux non-coopératifs pou

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13

Theljani, Anis. "Partial differential equations methods and regularization techniques for image inpainting." Thesis, Mulhouse, 2015. http://www.theses.fr/2015MULH0278/document.

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Cette thèse concerne le problème de désocclusion d'images, au moyen des équations aux dérivées partielles. Dans la première partie de la thèse, la désocclusion est modélisée par un problème de Cauchy qui consiste à déterminer une solution d'une équation aux dérivées partielles avec des données aux bords accessibles seulement sur une partie du bord de la partie à recouvrir. Ensuite, on a utilisé des algorithmes de minimisation issus de la théorie des jeux, pour résoudre ce problème de Cauchy. La deuxième partie de la thèse est consacrée au choix des paramètres de régularisation pour des EDP d'o

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14

Dreves, Axel. "Globally Convergent Algorithms for the Solution of Generalized Nash Equilibrium Problems." Doctoral thesis, 2011. https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-69822.

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Es werden verschiedene Verfahren zur Lösung verallgemeinerter Nash-Gleichgewichtsprobleme mit dem Schwerpunkt auf deren globaler Konvergenz entwickelt. Ein globalisiertes Newton-Verfahren zur Berechnung normalisierter Lösungen, ein nichtglattes Optimierungsverfahren basierend auf einer unrestringierten Umformulierung des spieltheoretischen Problems, und ein Minimierungsansatz sowei eine Innere-Punkte-Methode zur Lösung der gemeinsamen Karush-Kuhn-Tucker-Bedingungen der Spieler werden theoretisch untersucht und numerisch getestet. Insbesondere das Innere-Punkte Verfahren erweist sich als das zu

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15

Börgens, Eike Alexander Lars Guido. "ADMM-Type Methods for Optimization and Generalized Nash Equilibrium Problems in Hilbert Spaces." Doctoral thesis, 2020. https://doi.org/10.25972/OPUS-21877.

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This thesis is concerned with a certain class of algorithms for the solution of constrained optimization problems and generalized Nash equilibrium problems in Hilbert spaces. This class of algorithms is inspired by the alternating direction method of multipliers (ADMM) and eliminates the constraints using an augmented Lagrangian approach. The alternating direction method consists of splitting the augmented Lagrangian subproblem into smaller and more easily manageable parts. Before the algorithms are discussed, a substantial amount of background material, including the theory of Banach and Hilb

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16

Harms, Nadja. "Primal and Dual Gap Functions for Generalized Nash Equilibrium Problems and Quasi-Variational Inequalities." Doctoral thesis, 2014. https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-106027.

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In this thesis we study smoothness properties of primal and dual gap functions for generalized Nash equilibrium problems (GNEPs) and finite-dimensional quasi-variational inequalities (QVIs). These gap functions are optimal value functions of primal and dual reformulations of a corresponding GNEP or QVI as a constrained or unconstrained optimization problem. Depending on the problem type, the primal reformulation uses regularized Nikaido-Isoda or regularized gap function approaches. For player convex GNEPs and QVIs of the so-called generalized `moving set' type the respective primal gap functio

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17

von, Heusinger Anna. "Numerical Methods for the Solution of the Generalized Nash Equilibrium Problem." Doctoral thesis, 2009. https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-47662.

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In the generalized Nash equilibrium problem not only the cost function of a player depends on the rival players' decisions, but also his constraints. This thesis presents different iterative methods for the numerical computation of a generalized Nash equilibrium, some of them globally, others locally superlinearly convergent. These methods are based on either reformulations of the generalized Nash equilibrium problem as an optimization problem, or on a fixed point formulation. The key tool for these reformulations is the Nikaido-Isoda function. Numerical results for various problem from the li

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18

LAMPARIELLO, LORENZO. "Penalty methods for the solution of generalized Nash equilibrium problems and hemivariational inequalities with VI constraints." Doctoral thesis, 2012. http://hdl.handle.net/11573/918565.

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In this thesis we propose penalty methods for the solution of Generalized Nash Equilibrium Problems (GNEPs) and we consider centralized and distributed algorithms for the solution of Hemivariational Inequalities (HVIs) where the feasible set is given by the intersection of a closed convex set with the solution set of a lower-level monotone Variational Inequality (VI).

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19

Heusinger, Anna von [Verfasser]. "Numerical methods for the solution of the generalized Nash equilibrium problem / Anna von Heusinger." 2009. http://d-nb.info/1001800753/34.

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20

Galli, Leonardo. "Nonmonotone techniques for smooth optimization." Doctoral thesis, 2020. http://hdl.handle.net/2158/1202158.

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The focus of this thesis is the study and the application of nonmonotone strategies. These techniques are basically introduced to improve numerical results of existing optimization algorithms. Their first aim is that of relaxing the monotone requirement imposed by the globalization techniques. In fact, these monotone conditions might slow down the convergence rate of inher- ently nonmonotone optimization methods. This relaxation must not harm global convergence results. In this thesis we apply nonmonotone strategies to both line search and trust-region globalization techniques. We first consi

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21

Herrich, Markus. "Local Convergence of Newton-type Methods for Nonsmooth Constrained Equations and Applications." Doctoral thesis, 2014. https://tud.qucosa.de/id/qucosa%3A28495.

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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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22

Huang, Yun-ru, and 黃韻如. "Viscosity Approximation Methods for Generalized Equilibrium Problems and Fixed Point Problems." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/rrwzvc.

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碩士<br>國立中山大學<br>應用數學系研究所<br>96<br>The purpose of this paper is to investigate the problem of finding a common element of the set of solutions of a generalized equilibrium problem (for short, GEP) and the set of fixed points of a nonexpansive mapping in a Hilbert space. First, by using the well-known KKM technique we derive the existence and uniqueness of solutions of the auxiliary problems for the GEP. Second, on account of this result and Nadler''s theorem, we introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of the GEP an

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23

Liu, Yu Hsuan, and 劉毓璿. "The Study of Abstract Economies, System of Generalized Vector Quasi-Equilibrium Problems and Optimization Problems." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/83876535062785024795.

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碩士<br>國立彰化師範大學<br>數學系<br>91<br>In this paper, we apply Himmelberg''s fixed point theorem to establish existence theorems of equilibria for generalized abstract economies in which strategic spaces may not be compact and the set of players may not be countable. We apply our res- ults to establish general existence theorems of maximal elements and to establish existence theorems of system of generalized vector quasi-equilibrium problems from which we derive existence theorems of system of generalized vector quasi-variational and quasi-variational-like inequality problems and system of

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24

Chen, Li-fang, and 陳俐芳. "Existence Theorems of Abstract Economies and System of Generalized Vector Quasi-Equilibrium Problems with Applications." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/26601269909427518675.

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碩士<br>國立彰化師範大學<br>數學系<br>91<br>In this paper, we first establish the existence theorems of generalized abstract economy with a lower semicontinuous constraint correspondence and a fuzzy constraint correspondence defined on non-compact and non-paracompact strategy sets. As consequence of our results, we get existence theorems for a solution to the system of generalized vector quasi-equilibrium problems. As applications, we derive some existence results for the system of mixed vector quasi-variational-like inequality problems, Debreu type vector equilibrium problems and Nash type equilibrium pro

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25

Peng, Bo-Jun, and 彭柏鈞. "Strong Convergence Theorems for Fixed Points and Systems of Generalized Equilibrium Problems with Applications to Optimization Theory." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/38402676636001742958.

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碩士<br>國立彰化師範大學<br>數學系所<br>99<br>In this paper, we find a common solution for the system of equilibrium problems and fixed points of a strictly pseudo-contractive mapping. We prove the strong convergence theorem based on shrinking projection in a real Hilbert space. Then we apply our results to study a common solution of system of mixed equilibrium problems and fixed point of a strict pseudo-contractive mapping in a Hilbert space mathematical program with system of mixed equilibrium problems and fixed points constraints.

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26

Liu, Xinwei, and Jie Sun. "Generalized Stationary Points and an Interior Point Method for MPEC." 2003. http://hdl.handle.net/1721.1/3701.

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Mathematical program with equilibrium constraints (MPEC)has extensive applications in practical areas such as traffic control, engineering design, and economic modeling. Some generalized stationary points of MPEC are studied to better describe the limiting points produced by interior point methods for MPEC.A primal-dual interior point method is then proposed, which solves a sequence of relaxed barrier problems derived from MPEC. Global convergence results are deduced without assuming strict complementarity or linear independence constraint qualification. Under very general assumptions, the alg

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