Generalized Nash equilibrium problems

F Facchinei, C Kanzow - Annals of Operations Research, 2010 - Springer
Abstract The Generalized Nash Equilibrium Problem is an important model that has its roots
in the economic sciences but is being fruitfully used in many different fields. In this survey …

Generalized Nash equilibrium problems

F Facchinei, C Kanzow - 4or, 2007 - Springer
Abstract The Generalized Nash equilibrium problem is an important model that has its roots
in the economic sciences but is being fruitfully used in many different fields. In this survey …

[책][B] Modern nonconvex nondifferentiable optimization

Y Cui, JS Pang - 2021 - SIAM
Mathematical optimization has always been at the heart of engineering, statistics, and
economics. In these applied domains, optimization concepts and methods have often been …

Distributed algorithms for searching generalized Nash equilibrium of noncooperative games

K Lu, G **g, L Wang - IEEE transactions on cybernetics, 2018 - ieeexplore.ieee.org
In this paper, the distributed Nash equilibrium (NE) searching problem is investigated, where
the feasible action sets are constrained by nonlinear inequalities and linear equations …

Adaptive generalized nash equilibrium seeking algorithm for nonsmooth aggregative game under dynamic event-triggered mechanism

M Wang, J Chen, C Wen, S Qin - Automatica, 2024 - Elsevier
This paper addresses a nonsmooth aggregative game to control multiple noncooperative
players, each with a nonsmooth cost function that depends not only on its own decision but …

Algames: a fast augmented lagrangian solver for constrained dynamic games

S Le Cleac'h, M Schwager, Z Manchester - Autonomous Robots, 2022 - Springer
Dynamic games are an effective paradigm for dealing with the control of multiple interacting
actors. This paper introduces augmented Lagrangian GAME-theoretic solver (ALGAMES), a …

Generalized Nash equilibrium problems-recent advances and challenges

A Fischer, M Herrich, K Schönefeld - Pesquisa Operacional, 2014 - SciELO Brasil
Generalized Nash equilibrium problems have become very important as a modeling tool
during the last decades. The aim of this survey paper is twofold. It summarizes recent …

On the solution of the KKT conditions of generalized Nash equilibrium problems

A Dreves, F Facchinei, C Kanzow, S Sagratella - SIAM Journal on …, 2011 - SIAM
We consider the solution of generalized Nash equilibrium problems by concatenating the
KKT optimality conditions of each player's optimization problem into a single KKT-like …

Inter-platform competition in a regulated ride-hail market with pooling

K Zhang, YM Nie - Transportation Research Part E: Logistics and …, 2021 - Elsevier
This paper studies an aggregate ride-hail market in which two platforms compete with each
other, as well as with transit, under different supply and regulatory conditions. The duopoly is …

Distributed generalized Nash equilibrium seeking: An operator-theoretic perspective

G Belgioioso, P Yi, S Grammatico… - IEEE Control Systems …, 2022 - ieeexplore.ieee.org
Generalized games model interactions between a set of selfish decision makers, called
players or agents, where both the objective function and the feasible decision set of each …