Relevant bibliographies by topics / Generalized Nash equilibrium problems

Academic literature on the topic 'Generalized Nash equilibrium problems'

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Published: 10 March 2023

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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 (November 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 (September 13, 2007): 173–210. http://dx.doi.org/10.1007/s10288-007-0054-4.

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Nasri, Mostafa, and Wilfredo Sosa. "Equilibrium problems and generalized Nash games." Optimization 60, no. 8-9 (August 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 (July 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 results.
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Facchinei, Francisco, Andreas Fischer, and Veronica Piccialli. "Generalized Nash equilibrium problems and Newton methods." Mathematical Programming 117, no. 1-2 (July 19, 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 (April 14, 2016): 1036–63. http://dx.doi.org/10.1080/10556788.2016.1165676.

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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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Dreves, Axel. "An algorithm for equilibrium selection in generalized Nash equilibrium problems." Computational Optimization and Applications 73, no. 3 (March 7, 2019): 821–37. http://dx.doi.org/10.1007/s10589-019-00086-w.

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Fischer, Andreas, Markus Herrich, and Klaus Schönefeld. "GENERALIZED NASH EQUILIBRIUM PROBLEMS - RECENT ADVANCES AND CHALLENGES." Pesquisa Operacional 34, no. 3 (December 2014): 521–58. http://dx.doi.org/10.1590/0101-7438.2014.034.03.0521.

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Yuan, Yanhong, Hongwei Zhang, and Liwei Zhang. "A penalty method for generalized Nash equilibrium problems." Journal of Industrial & Management Optimization 8, no. 1 (2012): 51–65. http://dx.doi.org/10.3934/jimo.2012.8.51.

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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 CQ de otimização gera dois tipos de CQ para GNEPs, sendo que a denotada por CQ-GNEP é mais forte e útil para a análise de algoritmos para GNEPs. Mostramos que as condições de qualificação para GNEPs deste tipo em alguns casos não guardam a mesma relação que em otimização. Estendemos também o conceito de Aproximadamente Karush-KuhnTucker (AKKT) de otimização para GNEPs, o AKKT-GNEP. É bem conhecido que AKKT é uma genuína condição de otimalidade em otimização, mas para o caso dos GNEPs mostramos que isto não ocorre em geral. Por outro lado, AKKT-GNEP é satisfeito, por exemplo, em qualquer solução de um GNEP conjuntamente convexo, desde que seja um equilíbrio bvariacional. Com isso em mente, definimos um método do tipo Lagrangiano Aumentado para o GNEP usando penalidades quadráticas e exponenciais e estudamos as propriedades de otimalidade e viabilidade dos pontos limites de sequências geradas pelo algoritmo. Finalmente alguns critérios para resolver os subproblemas e resultados numéricos são apresentados.
This thesis is a study about the generalized Nash equilibrium problem (GNEP). In the first part we will summarize the main concepts about GNEPs, the relationship with other known problems and we will briefly comment on the main methods already done in order to solve these problems numerically. In the second part we study optimality conditions and constraint qualification (CQ) for GNEPs making an analogy with the optimization case. We extend the concepts of the tangent, normal and generated by the active cones, linear and polar cone to the structure of the GNEPs. Each optimization CQ generates two types of CQs for GNEPs, with the one called CQ-GNEP being the strongest and most useful for analyzing the algorithms for GNEPs. We show that the qualification conditions for GNEPs of this type in some cases do not have the same relation as in optimization. We also extend the Approximate Karush- Kuhn-Tucker (AKKT) concept used in optimization for GNEPs to AKKT-GNEP. It is well known that AKKT is a genuine optimality condition in optimization but for GNEPs we show that this does not occur in general. On the other hand, AKKT-GNEP is satisfied, for example, in any solution of a jointly convex GNEP, provided that it is a b-variational equilibrium. With this in mind, we define Augmented Lagrangian methods for the GNEP, using the quadratic and the exponential penalties, and we study the optimality and feasibility properties of the sequence of points generated by the algorithms. Finally some criteria to solve the subproblems and numerical results are presented.
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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 were recently used for the local convergence analysis of the LP-Newton method. Afterwards, we show that, besides the LP-Newton method, the constrained Levenberg-Marquardt method can be regarded as a special realization of the general Newton-type algorithm and therefore enjoys the same local convergence properties. Thus, local quadratic convergence of a nonsmooth constrained Levenberg-Marquardt method is proved without requiring conditions implying the local uniqueness of solutions. As already mentioned, we use four assumptions for the local convergence analysis of the general Newton-type algorithm. The second aim of this thesis is a detailed discussion of these convergence assumptions for the case that the equation function of the constrained system is piecewise continuously differentiable. Some of the convergence assumptions seem quite technical and difficult to check. Therefore, we look for sufficient conditions which are still mild but which seem to be more familiar. We will particularly prove that the whole set of the convergence assumptions holds if some set of local error bound conditions is satisfied and in addition the feasible set of the constrained system excludes those zeros of the selection functions which are not zeros of the equation function itself, at least in a sufficiently small neighborhood of some fixed solution. We apply our results to constrained systems arising from complementarity systems, i.e., systems of equations and inequalities which contain complementarity constraints. Our new conditions are discussed for a suitable reformulation of the complementarity system as constrained system of equations by means of the minimum function. In particular, it will turn out that the whole set of the convergence assumptions is actually implied by some set of local error bound conditions. In addition, we provide a new constant rank condition implying the whole set of the convergence assumptions. Particularly, we provide adapted formulations of our new conditions for special classes of complementarity systems. We consider Karush-Kuhn-Tucker (KKT) systems arising from optimization problems, variational inequalities, or generalized Nash equilibrium problems (GNEPs) and Fritz-John (FJ) systems arising from GNEPs. Thus, we obtain for each problem class conditions which guarantee local quadratic convergence of the general Newton-type algorithm and its special realizations to a solution of the particular problem. Moreover, we prove for FJ systems of GNEPs that generically some full row rank condition is satisfied at any solution of the FJ system of a GNEP. The latter condition implies the whole set of the convergence assumptions if the functions which characterize the GNEP are sufficiently smooth. Finally, we describe an idea for a possible globalization of our Newton-type methods, at least for the case that the constrained system arises from a certain smooth reformulation of the KKT system of a GNEP. More precisely, a hybrid method is presented whose local part is the LP-Newton method. The hybrid method turns out to be, under appropriate conditions, both globally and locally quadratically convergent.
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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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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
In this thesis, we study variational inequalities and generalized vector equilibrium problems. In Chapter 1, several results and basic definitions of Riemannian geometry are listed; we present the concept of the monotone vector field in Hadamard manifolds and many of their properties, besides, we introduce the concept of enlargement of a monotone vector field, and we display its properties in a Riemannian context. In Chapter 2, an inexact proximal point method for variational inequalities in Hadamard manifolds is introduced, and its convergence properties are studied; see [7]. To present our method, we generalize the concept of enlargement of monotone operators, from a linear setting to the Riemannian context. As an application, an inexact proximal point method for constrained optimization problems is obtained. In Chapter 3, we present an extragradient algorithm for variational inequality associated with the point-to-set vector field in Hadamard manifolds and study its convergence properties; see [8]. In order to present our method, the concept of enlargement of maximal monotone vector fields is used and its lower-semicontinuity is established to obtain the convergence of the method in this new context. In Chapter 4, we present a sufficient condition for the existence of a solution to the generalized vector equilibrium problem on Hadamard manifolds using a version of the KnasterKuratowski-Mazurkiewicz Lemma; see [6]. In particular, the existence of solutions to optimization, vector optimization, Nash equilibria, complementarity, and variational inequality is a special case of the existence result for the generalized vector equilibrium problem.
Nesta tese, estudamos desigualdades variacionais e o problema de equilíbrio vetorial generalizado. No Capítulo 1, vários resultados e definições elementares sobre geometria Riemanniana são enunciados; apresentamos o conceito de campo vetorial monótono e muitas de suas propriedades, além de introduzir o conceito de alargamento de um campo vetorial monótono e exibir suas propriedades em um contexto Riemanniano. No Capítulo 2, um método de ponto proximal inexato para desigualdades variacionais em variedades de Hadamard é introduzido e suas propriedades de convergência são estudadas; veja [7]. Para apresentar o nosso método, generalizamos o conceito de alargamento de operadores monótonos, do contexto linear ao contexto de Riemanniano. Como aplicação, é obtido um método de ponto proximal inexato para problemas de otimização com restrições. No Capítulo 3, apresentamos um algoritmo extragradiente para desigualdades variacionais associado a um campo vetorial ponto-conjunto em variedades de Hadamard e estudamos suas propriedades de convergência; veja [8]. A fim de apresentar nosso método, o conceito de alargamento de campos vetoriais monótonos é utilizado e sua semicontinuidade inferior é estabelecida, a fim de obter a convergência do método neste novo contexto. No Capítulo 4, apresentamos uma condição suficiente para a existência de soluções para o problema de equilíbrio vetorial generalizado em variedades de Hadamard usando uma versão do Lema Knaster-Kuratowski-Mazurkiewicz; veja [6]. Em particular, a existência de soluções para problemas de otimização, otimização vetorial, equilíbrio de Nash, complementaridade e desigualdades variacionais são casos especiais do resultado de existência do problema de equilíbrio vetorial generalizado.
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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 en Europe et les conditions favorables à la régulation des marchés vulnérables au risque de rupture d’approvisionnement, notamment de la part de la Russie. Trois études de cas sont proposées selon le degré de dépendance et la nature de régulation en place : le marché allemand des années 1980 et les marchés actuels de la Bulgarie et de l’Espagne. Nous étudions en particulier l’évolution des caractéristiques des marchés en fonction du risque de rupture et le type de régulation à mettre en place afin d’assurer l’optimalité du bien-être social. Ensuite, nous proposons un modèle de type systèmes dynamiques afin de prendre en compte la substitution énergétique entre le charbon, le pétrole et le gaz naturel. Notre approche permet d’estimer une nouvelle forme fonctionnelle de la fonction de demande pour le gaz naturel, qui englobe à la fois la substitution énergétique et les inerties de consommation dues aux investissements des usagers finaux. Dans un troisième temps, nous utilisons cette fonction de demande dans un modèle d’équilibre partiel des marchés du gaz naturel en Europe. Le modèle GaMMES, écrit sous forme de problème de complémentarité, représente les principaux acteurs de l’industrie du gaz naturel en considérant leurs interactions stratégiques et les pouvoirs de marchés. Il a été appliqué au marché du gaz naturel en Europe du nord-est afin d’étudier l’évolution, jusqu’en 2035, de la consommation, des prix spot, des prix et volumes long-terme, de la production et de la dépendance par rapport aux imports étrangers. Finalement, nous proposons une extension stochastique du modèle GaMMES afin d’analyser l’impact de la forte fluctuation du prix du Brent sur les marchés gaziers. Une étude économétrique a été menée afin de calculer la loi de probabilité du prix du pétrole, lorsqu’il est modélisé en tant que variable aléatoire, dans le but de construire et pondérer l’arbre des scénarii. Les résultats permettent de comprendre comment l’aléa modifie les comportements stratégiques des acteurs, notamment au niveau des contrats de long-terme. Enfin, la valeur de la solution stochastique est calculée afin de quantifier l’importance de la prise en compte des fluctuations du prix du pétrole pour chaque acteur de la chaîne
This thesis studies the evolution of the natural gas markets in Europe, until 2035, using optimization theory tools. The model we develop, named GaMMES, is based on an oligopolistic description of the markets. Its main advantages are the following: we consider an important level of detail in the economic structure of the gas chain and we endogenously take into account long-term contracts in the upstream as well as energy substitution between gas, oil, and coal in the demand. In the first part of this thesis, we study the issue of security of supply in Europe and the conditions under which it is necessary to regulate the gas markets that are strongly dependent on foreign imports. Three case studies are then presented, regarding the level of dependence and the markets' specificities: the German gas trade of the 1980s and the current Spanish and Bulgarian markets. We study in particular the evolution of the markets' outcome as a function of the supply disruption probability and the kind of regulation to implement in order to maximize the social welfare. In the second part, we develop a system dynamics model in order to capture fuel substitution between oil, coal, and natural gas. Our approach allows one to calculate a new functional form of the demand function for natural gas that contains energy substitution and consumption inertia effects due to end-users' investments. In the third part, we take advantage of our demand function and use it in a partial equilibrium model of natural gas markets in Europe. The GaMMES model, when written as a complementarity problem, describes the principal gas chain actors as well as their strategic interactions and market power. It was applied to the northwestern European gas trade to analyze the evolution of consumption, spot and long-term contract prices and volumes, production, and natural gas dependence, until 2035. In the last part, we present a stochastic extension of the GaMMES model in order to study the impact of the strong Brent price fluctuation on the gas markets. An econometric analysis allowed us to calculate the probability law of the oil price, when taken as a random variable, in order to construct the scenario tree and estimate its weights. Our results show how uncertainty changes the strategic behavior, in particular for the long-term contracting activity. Finally, the value of the stochastic solution is calculated to quantify the importance of taking into account randomness in the optimization programs of the gas chain actors
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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. Singapore: 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 extensive forms, the Nash equilibrium, the Prisoner’s Dilemma, and games of incomplete information. Each of the five motivating problems is reformulated game-theoretically. These game-theoretic reformulations reveal precisely why the agents involved would have difficulty arriving at mutually satisfactory resolutions, and why “solutions” for these problems call for principles of justice to guide the agents’ conduct.
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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, 93–107. Cham: 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, 97–106. New York, NY: 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, 93–101. Cham: 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, 145–81. Cham: 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, 149–65. Cham: 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, 27–47. Cham: 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, 39–49. Cham: 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, 429–85. Cham: 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, 307–20. Boca Raton: Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781315228969-11.

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Facchinei, Francisco, and Jong-Shi Pang. "Exact penalty functions for generalized Nash problems." In Nonconvex Optimization and Its Applications, 115–26. Boston, MA: Springer US, 2006. http://dx.doi.org/10.1007/0-387-30065-1_8.

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Conference papers on the topic "Generalized Nash equilibrium problems"

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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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Franci, Barbara, and Sergio Grammatico. "Distributed projected–reflected–gradient algorithms for stochastic generalized Nash equilibrium problems." In 2021 European Control Conference (ECC). IEEE, 2021. http://dx.doi.org/10.23919/ecc54610.2021.9655217.

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Liu, Peini, Xinjun Mao, Fu Hou, and Shuai Zhang. "Generalized Nash Equilibrium Model of the Service Provisioning Problem in Multi-Cloud Competitions." In 2018 IEEE SmartWorld, Ubiquitous Intelligence & Computing, Advanced & Trusted Computing, Scalable Computing & Communications, Cloud & Big Data Computing, Internet of People and Smart City Innovation (SmartWorld/SCALCOM/UIC/ATC/CBDCom/IOP/SCI). IEEE, 2018. http://dx.doi.org/10.1109/smartworld.2018.00257.

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Lu, Haishu. "A Generalized KKM Theorem and its Applications to Saddle Point and Nash Equilibrium Problem." In 2009 First International Workshop on Education Technology and Computer Science. IEEE, 2009. http://dx.doi.org/10.1109/etcs.2009.79.

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Chan, Hau, and Albert Xin Jiang. "An FPTAS for Computing Nash Equilibrium in Resource Graph Games." In Twenty-Seventh International Joint Conference on Artificial Intelligence {IJCAI-18}. California: International Joint Conferences on Artificial Intelligence Organization, 2018. http://dx.doi.org/10.24963/ijcai.2018/21.

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Abstract:
We consider the problem of computing a mixed-strategy Nash equilibrium (MSNE) in resource graph games (RGGs), a compact representation for games with an exponential number of strategies. In an RGG, each player's pure strategy is a subset of resources, represented by a binary vector, and her pure strategy set is represented compactly using a set of linear inequality constraints. Given the pure strategies of the players, each player's utility depends on the resource graph and the numbers of times the neighboring resources are used. RGGs are general enough to capture a wide variety of games studied in literature, including congestion games and security games.In this paper, we provide the first Fully Polytnomial Time Approximation Scheme (FPTAS) for computing an MSNE in any symmetric multilinear RGG where its constraint moralized resource graph (a graph formed between the moralized resource graph and the constraints defining the strategy polytope) has bounded treewidth. Our FPTAS can be generalized to compute optimal MSNE, and to games with a constant number of player types. As a consequence, our FPTAS provides new approximation results for security games, network congestion games, and bilinear games.
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Kim, Jong Gwang. "Equilibrium Computation of Generalized Nash Games." In EC '21: The 22nd ACM Conference on Economics and Computation. New York, NY, USA: ACM, 2021. http://dx.doi.org/10.1145/3465456.3467538.

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Zhao, Yan, Tao Chen, Yangyang Liu, Zhenhua Deng, and Yang Hu. "Generalized Nash equilibrium seeking strategy for multi-cluster games." In 2021 40th Chinese Control Conference (CCC). IEEE, 2021. http://dx.doi.org/10.23919/ccc52363.2021.9550164.

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Cai, Xin, Feng Xiao, and Bo Wei. "A distributed event-triggered generalized Nash equilibrium seeking algorithm." In 2021 40th Chinese Control Conference (CCC). IEEE, 2021. http://dx.doi.org/10.23919/ccc52363.2021.9549639.

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Xu, Wenying, Shaofu Yang, Sergio Grammatico, and Wangli He. "An Event-Triggered Distributed Generalized Nash Equilibrium Seeking Algorithm." In 2021 60th IEEE Conference on Decision and Control (CDC). IEEE, 2021. http://dx.doi.org/10.1109/cdc45484.2021.9683218.

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Fabiani, Filippo, Barbara Franci, Simone Sagratella, Martin Schmidt, and Mathias Staudigl. "Proximal-like algorithms for equilibrium seeking in mixed-integer Nash equilibrium problems." In 2022 IEEE 61st Conference on Decision and Control (CDC). IEEE, 2022. http://dx.doi.org/10.1109/cdc51059.2022.9993250.

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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, November 2020. http://dx.doi.org/10.46337/201111.

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Abstract:
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 non-recurrent emergence of fundamental new properties absent from the a priori kinematic geometric and statistical features. Unveiling causal mechanisms and eliciting system dynamic predictability under such challenging conditions is not only a fundamental problem in mathematical and statistical physics, but also one of critical importance to dynamic modelling, risk assessment and decision support e.g. regarding non-recurrent critical transitions and extreme events. In order to address these challenges, generalized metrics in non-ergodic information physics are hereby introduced for unveiling elusive dynamics, causality and predictability of complex dynamical systems undergoing far-from-equilibrium structural-functional coevolution. With these methodological developments at hand, hidden dynamic information is hereby brought out and explicitly quantified even beyond post-critical regime collapse, long after statistical information is lost. The added causal insights and operational predictive value are further highlighted by evaluating the new information metrics among statistically independent variables, where traditional techniques therefore find no information links. Notwithstanding the factorability of the distributions associated to the aforementioned independent variables, synergistic and redundant information are found to emerge from microphysical, event-scale codependencies in far-from-equilibrium nonlinear statistical mechanics. The findings are illustrated to shed light onto fundamental causal mechanisms and unveil elusive dynamic predictability of non-recurrent critical transitions and extreme events across multiscale hydro-climatic problems.
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