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This paper studies the problem of Nash equilibrium approximation in large-scale heterogeneous mean-field games under communication and computation constraints. A deterministic mean-field game is considered in which the non-linear utility…

最优化与控制 · 数学 2017-09-20 Ehsan Nekouei , Tansu Alpcan , Girish Nair

In this paper, we present a novel consensus-based zeroth-order algorithm tailored for non-convex multiplayer games. The proposed method leverages a metaheuristic approach using concepts from swarm intelligence to reliably identify global…

动力系统 · 数学 2024-07-30 Enis Chenchene , Hui Huang , Jinniao Qiu

This paper investigates the privacy-preserving distributed Nash equilibrium seeking problem for aggregative games. A novel differential privacy mechanism is designed by incorporating stochastic event-triggering with stochastic quantization,…

最优化与控制 · 数学 2026-05-27 Qingtan Meng , Qian Ma

We are concerned with finding Nash Equilibria in agent-based multi-cluster games, where agents are separated into distinct clusters. While the agents inside each cluster collaborate to achieve a common goal, the clusters are considered to…

系统与控制 · 电气工程与系统科学 2021-02-19 Jan Zimmermann , Tatiana Tatarenko , Volker Willert , Jürgen Adamy

Non-cooperative dynamic game theory provides a principled approach to modeling sequential decision-making among multiple noncommunicative agents. A key focus has been on finding Nash equilibria in two-agent zero-sum dynamic games under…

计算机科学与博弈论 · 计算机科学 2025-03-20 Kushagra Gupta , Ross Allen , David Fridovich-Keil , Ufuk Topcu

We consider an attacker-operator game for monitoring a large-scale network that is comprised on components that differ in their criticality levels. In this zero-sum game, the operator seeks to position a limited number of sensors to monitor…

计算机科学与博弈论 · 计算机科学 2019-03-19 Jezdimir Milosevic , Mathieu Dahan , Saurabh Amin , Henrik Sandberg

We consider a system of single- or double integrator agents playing a generalized Nash game over a network, in a partial-information scenario. We address the generalized Nash equilibrium seeking problem by designing a fully-distributed…

最优化与控制 · 数学 2021-05-07 Mattia Bianchi , Sergio Grammatico

This work proposes a policy learning algorithm for seeking generalised feedback Nash equilibria (GFNE) in $N_P$-player noncooperative dynamic games. We consider linear-quadratic games with stochastic dynamics and design a best-response…

最优化与控制 · 数学 2025-06-13 Otacilio B. L. Neto , Michela Mulas , Francesco Corona

The computational characterization of game-theoretic solution concepts is a central topic in artificial intelligence, with the aim of developing computationally efficient tools for finding optimal ways to behave in strategic interactions.…

计算机科学与博弈论 · 计算机科学 2013-04-05 Nicola Gatti , Marco Rocco , Tuomas Sandholm

In this paper, we consider the competitive diffusion game, and study the existence of its pure-strategy Nash equilibrium when defined over general undirected networks. We first determine the set of pure-strategy Nash equilibria for two…

计算机科学与博弈论 · 计算机科学 2015-06-09 Seyed Rasoul Etesami , Tamer Basar

This paper aims to accommodate games in which the players' dynamics are subject to un-modeled and disturbance terms. The un-modeled and disturbance terms are regarded as extended states for which observers are designed to estimate them.…

最优化与控制 · 数学 2020-04-22 Maojiao Ye

We study the open question of how players learn to play a social optimum pure-strategy Nash equilibrium (PSNE) through repeated interactions in general-sum coordination games. A social optimum of a game is the stable Pareto-optimal state…

计算机科学与博弈论 · 计算机科学 2023-07-26 Duong Nguyen , Langford White , Hung Nguyen

We consider the framework of average aggregative games, where the cost function of each agent depends on his own strategy and on the average population strategy. We focus on the case in which the agents are coupled not only via their cost…

系统与控制 · 计算机科学 2017-10-18 Francesca Parise , Basilio Gentile , John Lygeros

With the proliferation of distributed generations, traditional passive consumers in distribution networks are evolving into "prosumers", which can both produce and consume energy. Energy trading with the main grid or between prosumers is…

最优化与控制 · 数学 2022-10-06 Yongkai Xie , Zhaojian Wang , John Z. F. Pang , Bo Yang , Xinping Guan

We consider a class of Nash games, termed as aggregative games, being played over a networked system. In an aggregative game, a player's objective is a function of the aggregate of all the players' decisions. Every player maintains an…

最优化与控制 · 数学 2016-06-10 Jayash Koshal , Angelia Nedić , Uday V. Shanbhag

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…

系统与控制 · 电气工程与系统科学 2022-02-01 Yuanhanqing Huang , Jianghai Hu

We focus on the design of algorithms for finding equilibria in 2-player zero-sum games. Although it is well known that such problems can be solved by a single linear program, there has been a surge of interest in recent years for simpler…

计算机科学与博弈论 · 计算机科学 2025-02-03 Michail Fasoulakis , Evangelos Markakis , Giorgos Roussakis , Christodoulos Santorinaios

Distributed strategic learning has been getting attention in recent years. As systems become distributed finding Nash equilibria in a distributed fashion is becoming more important for various applications. In this paper, we develop a…

最优化与控制 · 数学 2012-10-02 A. F. Hanif , H. Tembine , M. Assaad , D. Zeghlache

Two fundamental problems in computational game theory are computing a Nash equilibrium and learning to exploit opponents given observations of their play (opponent exploitation). The latter is perhaps even more important than the former:…

计算机科学与博弈论 · 计算机科学 2018-06-29 Sam Ganzfried , Qingyun Sun

We consider a class of Wasserstein distributionally robust Nash equilibrium problems, where agents construct heterogeneous data-driven Wasserstein ambiguity sets using private samples and radii, in line with their individual risk-averse…

最优化与控制 · 数学 2025-07-18 Georgios Pantazis , Reza Rahimi Baghbadorani , Sergio Grammatico