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Algorithmic trading in modern financial markets is widely acknowledged to exhibit strategic, game-theoretic behaviors whose complexity can be difficult to model. A recent series of papers (Chriss, 2024b,c,a, 2025) has made progress in the…

计算机科学与博弈论 · 计算机科学 2025-06-10 Michael Kearns , Mirah Shi

Deep Reinforcement Learning combined with Fictitious Play shows impressive results on many benchmark games, most of which are, however, single-stage. In contrast, real-world decision making problems may consist of multiple stages, where the…

机器学习 · 计算机科学 2023-03-08 Wei Xi , Yongxin Zhang , Changnan Xiao , Xuefeng Huang , Shihong Deng , Haowei Liang , Jie Chen , Peng Sun

In this paper, we explore the susceptibility of the independent Q-learning algorithms (a classical and widely used multi-agent reinforcement learning method) to strategic manipulation of sophisticated opponents in normal-form games played…

计算机科学与博弈论 · 计算机科学 2024-07-17 Yuksel Arslantas , Ege Yuceel , Muhammed O. Sayin

Constructing effective algorithms to converge to Nash Equilibrium (NE) is an important problem in algorithmic game theory. Prior research generally posits that the upper bound on the convergence rate for games is $O\left(T^{-1/2}\right)$.…

计算机科学与博弈论 · 计算机科学 2024-09-06 Qi Ju , Falin Hei , Yuxuan Liu , Zhemei Fang , Yunfeng Luo

We extend the formalism of Conjectural Variations games to Stackelberg games involving multiple leaders and a single follower. To solve these nonconvex games, a common assumption is that the leaders compute their strategies having perfect…

计算机科学与博弈论 · 计算机科学 2025-07-24 Francesco Morri , Hélène Le Cadre , Luce Brotcorne

To improve efficiency and reduce failures in autonomous vehicles, research has focused on developing robust and safe learning methods that take into account disturbances in the environment. Existing literature in robust reinforcement…

机器学习 · 计算机科学 2019-03-12 Xiaobai Ma , Katherine Driggs-Campbell , Mykel J. Kochenderfer

Learning in games refers to scenarios where multiple players interact in a shared environment, each aiming to minimize their regret. An equilibrium can be computed at a fast rate of $O(1/T)$ when all players follow the optimistic…

计算机科学与博弈论 · 计算机科学 2025-02-18 Taira Tsuchiya , Shinji Ito , Haipeng Luo

Previous research has shown that federated learning (FL) systems are exposed to an array of security risks. Despite the proposal of several defensive strategies, they tend to be non-adaptive and specific to certain types of attacks,…

机器学习 · 计算机科学 2023-07-18 Yunian Pan , Tao Li , Henger Li , Tianyi Xu , Zizhan Zheng , Quanyan Zhu

Federated Learning (FL) has emerged as a promising approach for privacy-preserving model training across decentralized devices. However, it faces challenges such as statistical heterogeneity and susceptibility to adversarial attacks, which…

机器学习 · 计算机科学 2024-12-13 Jialuo He , Wei Chen , Xiaojin Zhang

Fictitious play (FP) is a natural learning dynamic in two-player zero-sum games. Samuel Karlin conjectured in 1959 that FP converges at a rate of $O(t^{-1/2})$ to Nash equilibrium, where $t$ is the number of steps played. However,…

计算机科学与博弈论 · 计算机科学 2025-07-15 Yuanhao Wang

Federated learning (FL) is an emerging paradigm for training machine learning models across distributed clients. Traditionally, in FL settings, a central server assigns training efforts (or strategies) to clients. However, from a…

机器学习 · 计算机科学 2024-11-19 Kang Liu , Ziqi Wang , Enrique Zuazua

Traditional Federated Learning (FL) approaches assume collaborative clients with aligned objectives working towards a shared global model. However, in many real-world scenarios, clients act as rational players with individual objectives and…

机器学习 · 计算机科学 2025-11-10 TaeHo Yoon , Sayantan Choudhury , Nicolas Loizou

We present two variants of a multi-agent reinforcement learning algorithm based on evolutionary game theoretic considerations. The intentional simplicity of one variant enables us to prove results on its relationship to a system of ordinary…

机器学习 · 计算机科学 2024-05-29 Johann Bauer , Sheldon West , Eduardo Alonso , Mark Broom

Normal-form games (NFGs) are the fundamental model of strategic interaction. We study their representation using neural networks. We describe the inherent equivariance of NFGs -- any permutation of strategies describes an equivalent game --…

计算机科学与博弈论 · 计算机科学 2024-02-14 Siqi Liu , Luke Marris , Georgios Piliouras , Ian Gemp , Nicolas Heess

Learning meaningful representations that maintain the content necessary for a particular task while filtering away detrimental variations is a problem of great interest in machine learning. In this paper, we tackle the problem of learning…

机器学习 · 计算机科学 2018-01-30 Qizhe Xie , Zihang Dai , Yulun Du , Eduard Hovy , Graham Neubig

According to the standard imitation protocol, a less successful player adopts the strategy of the more successful one faithfully for future success. This is the cornerstone of evolutionary game theory that explores the vitality of competing…

物理与社会 · 物理学 2019-09-27 Attila Szolnoki , Xiaojie Chen

A game theoretic distributed decision making approach is presented for the problem of control effort allocation in a robotic team based on a novel variant of fictitious play. The proposed learning process allows the robots to accomplish…

多智能体系统 · 计算机科学 2016-11-18 Michalis Smyrnakis , Sandor M. Veres

Strategic classification, i.e. classification under possible strategic manipulations of features, has received a lot of attention from both the machine learning and the game theory community. Most works focus on analysing properties of the…

机器学习 · 计算机科学 2022-03-28 Tosca Lechner , Ruth Urner

We apply the generalized conditional gradient algorithm to potential mean field games and we show its well-posedeness. It turns out that this method can be interpreted as a learning method called fictitious play. More precisely, each step…

偏微分方程分析 · 数学 2021-09-14 J Frédéric Bonnans , Pierre Lavigne , Laurent Pfeiffer

Federated learning is a setting where agents, each with access to their own data source, combine models from local data to create a global model. If agents are drawing their data from different distributions, though, federated learning…

计算机科学与博弈论 · 计算机科学 2020-12-18 Kate Donahue , Jon Kleinberg