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Previous studies have highlighted significant advancements in multimodal fusion. Nevertheless, such methods often encounter challenges regarding the efficacy of feature extraction, data integrity, consistency of feature dimensions, and…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Jiayu Xiong , Jing Wang , Hengjing Xiang , Jun Xue , Chen Xu , Zhouqiang Jiang

In this paper, we consider a Nash equilibrium seeking problem for a class of high-order multi-agent systems with unknown dynamics. Different from existing results for single integrators, we aim to steer the outputs of this class of…

Systems and Control · Electrical Eng. & Systems 2021-01-11 Yutao Tang , Peng Yi

This work proposes an algorithm for seeking generalised feedback Nash equilibria (GFNE) in noncooperative dynamic games. The focus is on cyber-physical systems with dynamics which are linear, stochastic, potentially unstable, and partially…

Optimization and Control · Mathematics 2025-04-01 Otacilio B. L. Neto , Michela Mulas , Francesco Corona

Strategic interactions can be represented more concisely, and analyzed and solved more efficiently, if we are aware of the symmetries within the multiagent system. Symmetries also have conceptual implications, for example for equilibrium…

Computer Science and Game Theory · Computer Science 2025-03-03 Emanuel Tewolde , Brian Hu Zhang , Caspar Oesterheld , Tuomas Sandholm , Vincent Conitzer

In this paper we present a scalable deep learning framework for finding Markovian Nash Equilibria in multi-agent stochastic games using fictitious play. The motivation is inspired by theoretical analysis of Forward Backward Stochastic…

Artificial Intelligence · Computer Science 2021-05-24 Tianrong Chen , Ziyi Wang , Ioannis Exarchos , Evangelos A. Theodorou

This paper presents a general mean-field game (GMFG) framework for simultaneous learning and decision-making in stochastic games with a large population. It first establishes the existence of a unique Nash Equilibrium to this GMFG, and…

Machine Learning · Computer Science 2023-01-05 Xin Guo , Anran Hu , Renyuan Xu , Junzi Zhang

We present a framework that incorporates the idea of bounded rationality into dynamic stochastic pursuit-evasion games. The solution of a stochastic game is characterized, in general, by its (Nash) equilibria in feedback form. However,…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Yue Guan , Dipankar Maity , Christopher M. Kroninger , Panagiotis Tsiotras

We develop a scheme based on active learning to compute equilibria in a generalized Nash equilibrium problem (GNEP). Specifically, an external observer (or entity), with little knowledge on the multi-agent process at hand, collects sensible…

Optimization and Control · Mathematics 2025-05-08 Barbara Franci , Filippo Fabiani , Alberto Bemporad

We propose a tactical homotopy-aware decision-making framework for game-theoretic motion planning in urban environments. We model urban driving as a generalized Nash equilibrium problem and employ a mixed-integer approach to tame the…

Multiagent Systems · Computer Science 2024-06-21 Michael Khayyat , Alessandro Zanardi , Stefano Arrigoni , Francesco Braghin

We introduce a novel framework to model and solve mean-field game systems with nonlocal interactions. Our approach relies on kernel-based representations of mean-field interactions and feature-space expansions in the spirit of kernel…

Optimization and Control · Mathematics 2020-04-29 Siting Liu , Matthew Jacobs , Wuchen Li , Levon Nurbekyan , Stanley J. Osher

We provide the first fully polynomial time approximation scheme (FPTAS) for computing an approximate mixed-strategy Nash equilibrium in tree-structured graphical multi-hypermatrix games (GMhGs). GMhGs are generalizations of normal-form…

Computer Science and Game Theory · Computer Science 2017-02-07 Luis E. Ortiz , Mohammad T. Irfan

Network games provide a natural machinery to compactly represent strategic interactions among agents whose payoffs exhibit sparsity in their dependence on the actions of others. Besides encoding interaction sparsity, however, real networks…

Computational Engineering, Finance, and Science · Computer Science 2021-01-22 Kun Jin , Yevgeniy Vorobeychik , Mingyan Liu

We address a multi-class traffic model, for which we computationally assess the ability of mean-field games (MFGs) to yield approximate Nash equilibria for traffic flow games of intractable large finite-players. We introduce ad hoc…

Optimization and Control · Mathematics 2025-03-28 Amal Machtalay , Abderrahmane Habbal , Ahmed Ratnani , Imad Kissami

Multiagent systems where agents interact among themselves and with a stochastic environment can be formalized as stochastic games. We study a subclass named Markov potential games (MPGs) that appear often in economic and engineering…

Multiagent Systems · Computer Science 2018-05-23 Sergio Valcarcel Macua , Javier Zazo , Santiago Zazo

Physical human-robot interaction can improve human ergonomics, task efficiency, and the flexibility of automation, but often requires application-specific methods to detect human state and determine robot response. At the same time, many…

Robotics · Computer Science 2026-02-17 Kevin Haninger , Christian Hegeler , Luka Peternel

We propose a game-theoretic framework for adaptive multi-agent intelligent systems. Unlike classical game theory, which often treats strategies as primitive objects chosen by perfectly rational agents, the proposed framework provides a…

Neural and Evolutionary Computing · Computer Science 2026-05-12 Zhe Sage Chen , Quanyan Zhu

We investigate both stationary and time-varying, nonmonotone generalized Nash equilibrium problems that exhibit symmetric interactions among the agents, which are known to be potential. As may happen in practical cases, however, we envision…

Optimization and Control · Mathematics 2024-07-09 Filippo Fabiani , Andrea Simonetto , Paul J. Goulart

We address in this paper Reinforcement Learning (RL) among agents that are grouped into teams such that there is cooperation within each team but general-sum (non-zero sum) competition across different teams. To develop an RL method that…

Machine Learning · Computer Science 2025-02-11 Muhammad Aneeq uz Zaman , Alec Koppel , Mathieu Laurière , Tamer Başar

Many important real-world settings contain multiple players interacting over an unknown duration with probabilistic state transitions, and are naturally modeled as stochastic games. Prior research on algorithms for stochastic games has…

Computer Science and Game Theory · Computer Science 2021-02-19 Sam Ganzfried

Self-play reinforcement learning has demonstrated significant success in learning complex strategic and interactive behaviors in competitive multi-agent games. However, achieving such behaviors in continuous decision spaces remains…

Machine Learning · Computer Science 2025-11-18 Akash Karthikeyan , Yash Vardhan Pant