activity
20122026
most citedDynamic control of agents playing aggregative games with coupling constraints

213 citations · 1.2k across the 63 of their papers we have counts for

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47 papers · 1 filter

math.OC2023

Probably approximately correct stability of allocations in uncertain coalitional games with private sampling

George Pantazis, Filiberto Fele, Filippo Fabiani +2

We study coalitional games with exogenous uncertainty in the coalition value, in which each agent is allowed to have private samples of the uncertainty. As a consequence, the agent…

math.OC2023

On data-driven Wasserstein distributionally robust Nash equilibrium problems with heterogeneous uncertainty

Georgios Pantazis, Barbara Franci, Sergio Grammatico

We study stochastic Nash equilibrium problems subject to heterogeneous uncertainty on the expected valued cost functions of the individual agents, where we assume no prior knowledg…

math.OC2023

Linear convergence in time-varying generalized Nash equilibrium problems

Mattia Bianchi, Emilio Benenati, Sergio Grammatico

We study generalized games with full row rank equality constraints and we provide a strikingly simple proof of strong monotonicity of the associated KKT operator. This allows us to…

math.OC2023

Distributionally robust stability of payoff allocations in stochastic coalitional games

George Pantazis, Barbara Franci, Sergio Grammatico +1

We consider multi-agent coalitional games with uncertainty in the coalitional values. We provide a novel methodology to study the stability of the grand coalition in the case where…

math.OC2023★ 1 cited

Stability of singularly perturbed hybrid systems with restricted systems evolving on boundary layer manifolds

Suad Krilašević, Sergio Grammatico

We present a singular perturbation theory applicable to systems with hybrid boundary layer systems and hybrid reduced systems {with} jumps from the boundary layer manifold. First,…

math.OC2023

A discrete-time averaging theorem and its application to zeroth-order Nash equilibrium seeking

Suad Krilašević, Sergio Grammatico

In this paper we present an averaging technique applicable to the design of zeroth-order Nash equilibrium seeking algorithms. First, we propose a multi-timescale discrete-time aver…

math.OC2022★ 22 cited

Data-driven stabilization of switched and constrained linear systems

Mattia Bianchi, Sergio Grammatico, Jorge Cortés

We consider the design of state feedback control laws for both the switching signal and the continuous input of an unknown switched linear system, given past noisy input-state traj…

math.OC2022

The END: Estimation Network Design for games under partial-decision information

Mattia Bianchi, Sergio Grammatico

Multi-agent decision problems are typically solved via distributed iterative algorithms, where the agents only communicate between themselves on a peer-to-peer network. Each agent…

math.OC2022

Nash equilibrium seeking under partial decision information: Monotonicity, smoothness and proximal-point algorithms

Mattia Bianchi, Sergio Grammatico

We address Nash equilibrium problems in a partial-decision information scenario, where each agent can only exchange information with some neighbors, while its cost function possibl…

math.OC2022★ 1 cited

A two-stage approach for a mixed-integer economic dispatch game in integrated electrical and gas distribution systems

Wicak Ananduta, Sergio Grammatico

We formulate for the first time the economic dispatch problem in an integrated electrical and gas distribution system as a game equilibrium problem between distributed prosumers. S…

math.OC2022

Approximate solutions to the optimal flow problem of multi-area integrated electrical and gas systems

Wicak Ananduta, Sergio Grammatico

We formulate the optimal flow problem in a multi-area integrated electrical and gas system as a mixed-integer optimization problem by approximating the non-linear gas flows with pi…

math.OC2021

Convergence of sequences: a survey

Barbara Franci, Sergio Grammatico

Convergent sequences of real numbers play a fundamental role in many different problems in system theory, e.g., in Lyapunov stability analysis, as well as in optimization theory an…

math.OC2021

The distributed dual ascent algorithm is robust to asynchrony

Mattia Bianchi, Wicak Ananduta, Sergio Grammatico

The distributed dual ascent is an established algorithm to solve strongly convex multi-agent optimization problems with separable cost functions, in the presence of coupling constr…

math.OC2021

Bregman algorithms for mixed-strategy generalized Nash equilibrium seeking in a class of mixed-integer games

Wicak Ananduta, Sergio Grammatico

We consider the problem of computing a mixed-strategy generalized Nash equilibrium (MS-GNE) for a class of games where each agent has both continuous and integer decision variables…

math.OC2021★ 2 cited

A relaxed-inertial forward-backward-forward algorithm for Stochastic Generalized Nash equilibrium seeking

Shisheng Cui, Barbara Franci, Sergio Grammatico +2

In this paper we propose a new operator splitting algorithm for distributed Nash equilibrium seeking under stochastic uncertainty, featuring relaxation and inertial effects. Our wo…

math.OC2021

Forward-Backward algorithms for stochastic Nash equilibrium seeking in restricted strongly and strictly monotone games

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…

math.OC2020

Stochastic generalized Nash equilibrium seeking under partial-decision information

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…

math.OC2020★ 16 cited

Nash equilibrium seeking under partial-decision information over directed communication networks

Mattia Bianchi, Sergio Grammatico

We consider the Nash equilibrium problem in a partial-decision information scenario. Specifically, each agent can only receive information from some neighbors via a communication n…

math.OC2020★ 25 cited

Local Stackelberg equilibrium seeking in generalized aggregative games

Filippo Fabiani, Mohammad Amin Tajeddini, Hamed Kebriaei +1

We propose a two-layer, semi-decentralized algorithm to compute a local solution to the Stackelberg equilibrium problem in aggregative games with coupling constraints. Specifically…

math.OC2020★ 84 cited

Fully distributed Nash equilibrium seeking over time-varying communication networks with linear convergence rate

Mattia Bianchi, Sergio Grammatico

We design a distributed algorithm for learning Nash equilibria over time-varying communication networks in a partial-decision information scenario, where each agent can access its…

math.OC2020

Distributed projected-reflected-gradient algorithms for stochastic generalized Nash equilibrium problems

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 pr…

math.OC2020★ 81 cited

Fast generalized Nash equilibrium seeking under partial-decision information

Mattia Bianchi, Giuseppe Belgioioso, 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…

math.OC2020

Stochastic generalized Nash equilibrium seeking in merely monotone games

Barbara Franci, Sergio Grammatico

We solve the stochastic generalized Nash equilibrium (SGNE) problem in merely monotone games with expected value cost functions. Specifically, we present the first distributed SGNE…

math.OC2019★ 4 cited

Distributed Forward-Backward algorithms for stochastic generalized Nash equilibrium seeking

Barbara Franci, Sergio Grammatico

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 GN…