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We consider the stochastic generalized Nash equilibrium problem (SGNEP) with expected-value cost functions. Inspired by Yi and Pavel (Automatica, 2019), we propose a distributed GNE seeking algorithm based on the preconditioned…

Optimization and Control · Mathematics 2020-02-24 Barbara Franci , Sergio Grammatico

We consider for the first time a stochastic generalized Nash equilibrium problem, i.e., with expected-value cost functions and joint feasibility constraints, under partial-decision information, meaning that the agents communicate only with…

Optimization and Control · Mathematics 2021-06-02 Barbara Franci , Sergio Grammatico

We consider the stochastic generalized Nash equilibrium problem (SGNEP) with joint feasibility constraints and expected-value cost functions. We propose a distributed stochastic projected reflected gradient algorithm and show its almost…

Optimization and Control · Mathematics 2021-03-22 Barbara Franci , Sergio Grammatico

We study stochastic Nash equilibrium problems with expected valued cost functions whose pseudogradient satisfies restricted monotonicity properties which hold only with respect to the solution. We propose a forward-backward algorithm and…

Optimization and Control · Mathematics 2021-11-05 Barbara Franci , Sergio Grammatico

We consider a stochastic generalized Nash equilibrium problem (GNEP) with expected-value cost functions. Inspired by Yi and Pavel (Automatica, 2019), we propose a distributed GNE seeking algorithm by exploiting the forward-backward operator…

Optimization and Control · Mathematics 2020-02-17 Barbara Franci , Sergio Grammatico

This paper investigates stochastic generalized dynamic games with coupling chance constraints, where agents have incomplete information about uncertainties satisfying a concentration of measure property. This problem, in general, is…

Systems and Control · Electrical Eng. & Systems 2026-02-06 Seyed Shahram Yadollahi , Hamed Kebriaei , Sadegh Soudjani

We design the first fully-distributed algorithm for generalized Nash equilibrium seeking in aggregative games on a time-varying communication network, under partial-decision information, i.e., the agents have no direct access to the…

Optimization and Control · Mathematics 2022-06-16 Giuseppe Belgioioso , Angelia Nedić , Sergio Grammatico

This work proposes a novel distributed approach for computing a Nash equilibrium in convex games with merely monotone and restricted strongly monotone pseudo-gradients. By leveraging the idea of the centralized operator extrapolation method…

Optimization and Control · Mathematics 2025-07-18 Tatiana Tatarenko , Angelia Nedich

In this paper we propose a new operator splitting algorithm for distributed Nash equilibrium seeking under stochastic uncertainty, featuring relaxation and inertial effects. Our work is inspired by recent deterministic operator splitting…

Optimization and Control · Mathematics 2021-03-25 Shisheng Cui , Barbara Franci , Sergio Grammatico , Uday V. Shanbhag , Mathias Staudigl

In this paper, we solve the problem of learning a generalized Nash equilibrium (GNE) in merely monotone games. First, we propose a novel continuous semi-decentralized solution algorithm without projections that uses first-order information…

Systems and Control · Electrical Eng. & Systems 2021-10-07 Suad Krilašević , Sergio Grammatico

We address the generalized Nash equilibrium seeking problem in a partial-decision information scenario, where each agent can only exchange information with some neighbors, although its cost function possibly depends on the strategies of all…

Optimization and Control · Mathematics 2021-12-14 Mattia Bianchi , Giuseppe Belgioioso , Sergio Grammatico

A fundamental open problem in monotone game theory is the computation of a specific generalized Nash equilibrium (GNE) among all the available ones, e.g. the optimal equilibrium with respect to a system-level objective. The existing GNE…

Systems and Control · Electrical Eng. & Systems 2022-03-16 Emilio Benenati , Wicak Ananduta , Sergio Grammatico

This paper investigates online stochastic aggregative games subject to local set constraints and time-varying coupled inequality constraints, where each player possesses a time-varying expectation-valued cost function relying on not only…

Optimization and Control · Mathematics 2025-11-18 Kaixin Du , Min Meng

This work proposes a novel distributed approach for computing a Nash equilibrium in convex games with restricted strongly monotone pseudo-gradients. By leveraging the idea of the centralized operator extrapolation method presented in [4] to…

Optimization and Control · Mathematics 2023-10-25 Tatiana Tatarenko , Angelia Nedich

Distributed Nash equilibrium seeking of aggregative games is investigated and a continuous-time algorithm is proposed. The algorithm is designed by virtue of projected gradient play dynamics and distributed average tracking dynamics, and is…

Optimization and Control · Mathematics 2021-12-07 Shu Liang , Peng Yi , Yiguang Hong , Kaixiang Peng

In this paper, we present three distributed algorithms to solve a class of generalized Nash equilibrium (GNE) seeking problems in strongly monotone games. The first one (SD-GENO) is based on synchronous updates of the agents, while the…

Computer Science and Game Theory · Computer Science 2020-05-08 Carlo Cenedese , Giuseppe Belgioioso , Sergio Grammatico , Ming Cao

We present two distributed algorithms for the computation of a generalized Nash equilibrium in monotone games. The first algorithm follows from a forward-backward-forward operator splitting, while the second, which requires the…

Optimization and Control · Mathematics 2020-02-17 Barbara Franci , Mathias Staudigl , Sergio Grammatico

In this paper, we investigate distributed generalized Nash equilibrium (GNE) computation of monotone games with affine coupling constraints. Each player can only utilize its local objective function, local feasible set and a local block of…

Optimization and Control · Mathematics 2020-04-10 Peng Yi , Lacra Pavel

We address the generalized Nash equilibrium seeking problem for a population of agents playing aggregative games with affine coupling constraints. We focus on semi-decentralized communication architectures, where there is a central…

Optimization and Control · Mathematics 2022-06-16 Giuseppe Belgioioso , Sergio Grammatico

In this paper, we focus on the stochastic generalized Nash equilibrium problem (SGNEP) which is an important and widely-used model in many different fields. In this model, subject to certain global resource constraints, a set of…

Systems and Control · Electrical Eng. & Systems 2022-02-01 Yuanhanqing Huang , Jianghai Hu
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