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In this paper, we consider game problems played by (multi)-integrator agents, subject to external disturbances. We propose Nash equilibrium seeking dynamics based on gradient-play, augmented with a dynamic internal-model based component,…

最优化与控制 · 数学 2020-04-10 Andrew R Romano , Lacra Pavel

In this paper we consider the problem of finding a Nash equilibrium (NE) via zeroth-order feedback information in games with merely monotone pseudogradient mapping. Based on hybrid system theory, we propose a novel extremum seeking…

系统与控制 · 电气工程与系统科学 2021-09-17 Suad Krilašević , Sergio Grammatico

The problem of consensus in the presence of adversarially behaving agents has been studied extensively in the literature. The proposed algorithms typically guarantee that the consensus value lies within the convex hull of initial normal…

系统与控制 · 电气工程与系统科学 2019-06-20 James Usevitch , Dimitra Panagou

Deep neural networks are highly vulnerable to adversarial examples, i.e.,small perturbations that can significantly degrade model performance. While adversarial training has become the primary defense strategy, most studies focus on…

机器学习 · 计算机科学 2026-05-14 Lilin Zhang , Yimo Guo , Yue Li , Jiancheng Shi , Xianggen Liu

Influential benchmarks incentivize competing model developers to strategically allocate post-training resources toward improvements on the leaderboard, a phenomenon dubbed benchmaxxing or training on the test task. In this work, we initiate…

计算机科学与博弈论 · 计算机科学 2026-03-10 Yatong Chen , Guanhua Zhang , Moritz Hardt

Given a bimatrix game, the associated leadership or commitment games are defined as the games at which one player, the leader, commits to a (possibly mixed) strategy and the other player, the follower, chooses his strategy after having…

计算机科学与博弈论 · 计算机科学 2016-12-30 Stefanos Leonardos , Costis Melolidakis

Robust training methods against perturbations to the input data have received great attention in the machine learning literature. A standard approach in this direction is adversarial training which learns a model using…

机器学习 · 计算机科学 2021-06-22 Farzan Farnia , Amirali Aghazadeh , James Zou , David Tse

In this paper, we examine the Nash equilibrium convergence properties of no-regret learning in general N-player games. For concreteness, we focus on the archetypal follow the regularized leader (FTRL) family of algorithms, and we consider…

计算机科学与博弈论 · 计算机科学 2021-02-05 Angeliki Giannou , Emmanouil-Vasileios Vlatakis-Gkaragkounis , Panayotis Mertikopoulos

Parsimony, including sparsity and low rank, has been shown to successfully model data in numerous machine learning and signal processing tasks. Traditionally, such modeling approaches rely on an iterative algorithm that minimizes an…

机器学习 · 计算机科学 2012-12-18 Pablo Sprechmann , Alex M. Bronstein , Guillermo Sapiro

We address the challenge of designing optimal adversarial noise algorithms for settings where a learner has access to multiple classifiers. We demonstrate how this problem can be framed as finding strategies at equilibrium in a two-player,…

机器学习 · 计算机科学 2019-06-10 Juan C. Perdomo , Yaron Singer

We study model-based and model-free policy optimization in a class of nonzero-sum stochastic dynamic games called linear quadratic (LQ) deep structured games. In such games, players interact with each other through a set of weighted…

计算机科学与博弈论 · 计算机科学 2020-12-15 Masoud Roudneshin , Jalal Arabneydi , Amir G. Aghdam

Structured game representations have recently attracted interest as models for multi-agent artificial intelligence scenarios, with rational behavior most commonly characterized by Nash equilibria. This paper presents efficient, exact…

计算机科学与博弈论 · 计算机科学 2011-10-27 B. Blum , D. Koller , C. R. Shelton

This paper investigates posterior sampling algorithms for competitive reinforcement learning (RL) in the context of general function approximations. Focusing on zero-sum Markov games (MGs) under two critical settings, namely self-play and…

机器学习 · 计算机科学 2023-11-01 Shuang Qiu , Ziyu Dai , Han Zhong , Zhaoran Wang , Zhuoran Yang , Tong Zhang

Many emerging applications - such as adversarial training, AI alignment, and robust optimization - can be framed as zero-sum games between neural nets, with von Neumann-Nash equilibria (NE) capturing the desirable system behavior. While…

机器学习 · 计算机科学 2025-12-02 Deep Patel , Emmanouil-Vasileios Vlatakis-Gkaragkounis

Training agents in multi-agent competitive games presents significant challenges due to their intricate nature. These challenges are exacerbated by dynamics influenced not only by the environment but also by opponents' strategies. Existing…

机器学习 · 计算机科学 2023-08-22 The Viet Bui , Tien Mai , Thanh Hong Nguyen

Guided cooperation allows intelligent agents with heterogeneous capabilities to work together by following a leader-follower type of interaction. However, the associated control problem becomes challenging when the leader agent does not…

系统与控制 · 电气工程与系统科学 2024-02-01 Yuhan Zhao , Quanyan Zhu

Game-theoretic techniques and equilibria analysis facilitate the design and verification of competitive systems. While algorithmic complexity of equilibria computation has been extensively studied, practical implementation and application…

计算机科学与博弈论 · 计算机科学 2022-02-02 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

We investigate robust model-free reinforcement learning algorithms designed for environments that may be dynamic or even adversarial. Traditional state-based policies often struggle to accommodate the challenges imposed by the presence of…

机器学习 · 计算机科学 2023-11-02 Udaya Ghai , Arushi Gupta , Wenhan Xia , Karan Singh , Elad Hazan

Distributed optimization and Nash equilibrium (NE) seeking problems have drawn much attention in the control community recently. This paper studies a class of non-cooperative games, known as N-cluster game, which subsumes both cooperative…

最优化与控制 · 数学 2023-03-01 Yipeng Pang , Guoqiang Hu

In a competitive game scenario, a set of agents have to learn decisions that maximize their goals and minimize their adversaries' goals at the same time. Besides dealing with the increased dynamics of the scenarios due to the opponents'…

人工智能 · 计算机科学 2023-10-03 Pablo Barros , Alessandra Sciutti
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