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We consider multi-agent decision making, where each agent optimizes its cost function subject to constraints. Agents' actions belong to a compact convex Euclidean space and the agents' cost functions are coupled. We propose a distributed…

最优化与控制 · 数学 2016-12-01 Tatiana Tatarenko , Maryam Kamgarpour

We formulate a general framework for competitive gradient-based learning that encompasses a wide breadth of multi-agent learning algorithms, and analyze the limiting behavior of competitive gradient-based learning algorithms using dynamical…

机器学习 · 计算机科学 2020-02-21 Eric Mazumdar , Lillian J. Ratliff , S. Shankar Sastry

Game-theoretic solution concepts, such as the Nash equilibrium, have been key to finding stable joint actions in multi-player games. However, it has been shown that the dynamics of agents' interactions, even in simple two-player games with…

多智能体系统 · 计算机科学 2025-05-20 Natalia Koliou , George Vouros

In this work, we present a novel characterization of approximate Nash equilibria in a class of convex games over the simplex. To achieve this, we regularize the utility functions using the Shannon entropy term, connect the solutions to the…

最优化与控制 · 数学 2025-07-18 Tatiana Tatarenko , S. Rasoul Etesami

Whilst network coordination games and network anti-coordination games have received a considerable amount of attention in the literature, network games with coexisting coordinating and anti-coordinating players are known to exhibit more…

计算机科学与博弈论 · 计算机科学 2021-10-26 Laura Arditti , Giacomo Como , Fabio Fagnani , Martina Vanelli

We propose an adaptive incentive mechanism that learns the optimal incentives in environments where players continuously update their strategies. Our mechanism updates incentives based on each player's externality, defined as the difference…

计算机科学与博弈论 · 计算机科学 2025-03-04 Chinmay Maheshwari , Kshitij Kulkarni , Manxi Wu , Shankar Sastry

In this paper, we present a framework for multi-agent learning in a nonstationary dynamic network environment. More specifically, we examine projected gradient play in smooth monotone repeated network games in which the agents'…

计算机科学与博弈论 · 计算机科学 2024-08-13 Feras Al Taha , Kiran Rokade , Francesca Parise

In this note, we study a class of deterministic finite-horizon linear-quadratic difference games with coupled affine inequality constraints involving both state and control variables. We show that the necessary conditions for the existence…

最优化与控制 · 数学 2025-10-06 Partha Sarathi Mohapatra , Puduru Viswanadha Reddy

In competitive multi-player interactions, simultaneous optimality is a key requirement for establishing strategic equilibria. This property is explicit when the game-theoretic equilibrium is the simultaneously optimal solution of coupled…

计算机科学与博弈论 · 计算机科学 2024-04-04 Sarah H. Q. Li , Yue Yu , Florian Dörfler , John Lygeros

Current research in distributed Nash equilibrium (NE) seeking in the partial information setting assumes that information is exchanged between agents that are "truthful". However, in general noncooperative games agents may consider sending…

最优化与控制 · 数学 2021-11-30 Dian Gadjov , Lacra Pavel

This paper studies random reshuffling (RR)-based distributed Nash equilibrium seeking for noncooperative games. The game is motivated as a sample-average approximation of an underlying expected-value stochastic game, while the algorithmic…

最优化与控制 · 数学 2026-04-06 Jun Hu , Chao Sun , Chen Bo , Jianzheng Wang , Zheming Wang

Network congestion games are a convenient model for reasoning about routing problems in a network: agents have to move from a source to a target vertex while avoiding congestion, measured as a cost depending on the number of players using…

计算机科学与博弈论 · 计算机科学 2022-07-05 Aline Goeminne , Nicolas Markey , Ocan Sankur

A fundamental problem in noncooperative dynamic game theory is the computation of Nash equilibria under different information structures, which specify the information available to each agent during decision-making. Prior work has…

计算机科学与博弈论 · 计算机科学 2026-03-20 Janani S K , Kushagra Gupta , Ufuk Topcu , David Fridovich-Keil

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…

计算机科学与博弈论 · 计算机科学 2020-05-08 Carlo Cenedese , Giuseppe Belgioioso , Sergio Grammatico , Ming Cao

Game theory is playing more and more important roles in understanding complex systems and in investigating intelligent machines with various uncertainties. As a starting point, we consider the classical two-player zero-sum linear-quadratic…

最优化与控制 · 数学 2022-04-20 Nian Liu , Lei Guo

We study a distributed approach for seeking a Nash equilibrium in $n$-cluster games with strictly monotone mappings. Each player within each cluster has access to the current value of her own smooth local cost function estimated by a…

计算机科学与博弈论 · 计算机科学 2021-07-28 Tatiana Tatarenko , Jan Zimmermann , Jürgen Adamy

We consider a Gaussian interference channel with independent direct and cross link channel gains, each of which is independent and identically distributed across time. Each transmitter-receiver user pair aims to maximize its long-term…

信息论 · 计算机科学 2016-02-01 Krishna Chaitanya A , Utpal Mukherji , Vinod Sharma

We consider a stochastic game with partial, asymmetric and non-classical information, where the agents are trying to acquire as many available opportunities/locks as possible. Agents have access only to local information, the information…

最优化与控制 · 数学 2020-09-07 Vartika Singh , Veeraruna Kavitha

Multi-agent games in dynamic nonlinear settings are challenging due to the time-varying interactions among the agents and the non-stationarity of the (potential) Nash equilibria. In this paper we consider model-free games, where agent…

系统与控制 · 电气工程与系统科学 2025-09-24 Eduardo Sebastián , Maitrayee Keskar , Eeman Iqbal , Eduardo Montijano , Carlos Sagüés , Nikolay Atanasov

One of the natural objectives of the field of the social networks is to predict agents' behaviour. To better understand the spread of various products through a social network arXiv:1105.2434 introduced a threshold model, in which the nodes…

计算机科学与博弈论 · 计算机科学 2013-04-09 Sunil Simon , Krzysztof R. Apt
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