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We propose a novel online learning method for minimizing regret in large extensive-form games. The approach learns a function approximator online to estimate the regret for choosing a particular action. A no-regret algorithm uses these…

Artificial Intelligence · Computer Science 2015-01-05 Kevin Waugh , Dustin Morrill , J. Andrew Bagnell , Michael Bowling

Fairness plays a crucial role in various multi-agent systems (e.g., communication networks, financial markets, etc.). Many multi-agent dynamical interactions can be cast as Markov Decision Processes (MDPs). While existing research has…

Machine Learning · Computer Science 2023-06-02 Peizhong Ju , Arnob Ghosh , Ness B. Shroff

Learning individual-level treatment effect is a fundamental problem in causal inference and has received increasing attention in many areas, especially in the user growth area which concerns many internet companies. Recently, disentangled…

Machine Learning · Computer Science 2022-06-03 Mingyuan Cheng , Xinru Liao , Quan Liu , Bin Ma , Jian Xu , Bo Zheng

Regret matching (RM) -- and its modern variants -- is a foundational online algorithm that has been at the heart of many AI breakthrough results in solving benchmark zero-sum games, such as poker. Yet, surprisingly little is known so far in…

Computer Science and Game Theory · Computer Science 2025-11-18 Ioannis Anagnostides , Emanuel Tewolde , Brian Hu Zhang , Ioannis Panageas , Vincent Conitzer , Tuomas Sandholm

Follow-the-Regularized-Lead (FTRL) and Online Mirror Descent (OMD) are regret minimization algorithms for Online Convex Optimization (OCO), they are mathematically elegant but less practical in solving Extensive-Form Games (EFGs).…

Machine Learning · Computer Science 2022-04-20 Weiming Liu , Huacong Jiang , Bin Li , Houqiang Li

Blackwell approachability is a framework for reasoning about repeated games with vector-valued payoffs. We introduce predictive Blackwell approachability, where an estimate of the next payoff vector is given, and the decision maker tries to…

Computer Science and Game Theory · Computer Science 2021-03-09 Gabriele Farina , Christian Kroer , Tuomas Sandholm

Regret minimization is a powerful tool for solving large-scale problems; it was recently used in breakthrough results for large-scale extensive-form game solving. This was achieved by composing simplex regret minimizers into an overall…

Machine Learning · Computer Science 2019-02-19 Gabriele Farina , Christian Kroer , Tuomas Sandholm

Reinforcement learning (RL) in large environments often suffers from severe computational bottlenecks, as conventional regret minimization algorithms require repeated, costly calls to planning and statistical estimation oracles. While…

Machine Learning · Computer Science 2026-05-04 Haichen Hu , Jian Qian , David Simchi-Levi

We present the development and analysis of a reinforcement learning (RL) algorithm designed to solve continuous-space mean field game (MFG) and mean field control (MFC) problems in a unified manner. The proposed approach pairs the…

Optimization and Control · Mathematics 2025-03-07 Andrea Angiuli , Jean-Pierre Fouque , Ruimeng Hu , Alan Raydan

In this paper, we investigate the power of {\it regularization}, a common technique in reinforcement learning and optimization, in solving extensive-form games (EFGs). We propose a series of new algorithms based on regularizing the payoff…

Computer Science and Game Theory · Computer Science 2025-07-10 Mingyang Liu , Asuman Ozdaglar , Tiancheng Yu , Kaiqing Zhang

The theory of reinforcement learning has focused on two fundamental problems: achieving low regret, and identifying $\epsilon$-optimal policies. While a simple reduction allows one to apply a low-regret algorithm to obtain an…

Machine Learning · Computer Science 2022-06-23 Andrew Wagenmaker , Max Simchowitz , Kevin Jamieson

The framework of deep reinforcement learning (DRL) provides a powerful and widely applicable mathematical formalization for sequential decision-making. This paper present a novel DRL framework, termed \emph{$f$-Divergence Reinforcement…

Machine Learning · Computer Science 2021-12-15 Chen Gong , Qiang He , Yunpeng Bai , Zhou Yang , Xiaoyu Chen , Xinwen Hou , Xianjie Zhang , Yu Liu , Guoliang Fan

The literature on game-theoretic equilibrium finding predominantly focuses on single games or their repeated play. Nevertheless, numerous real-world scenarios feature playing a game sampled from a distribution of similar, but not identical…

Computer Science and Game Theory · Computer Science 2024-02-21 David Sychrovský , Michal Šustr , Elnaz Davoodi , Michael Bowling , Marc Lanctot , Martin Schmid

In this paper, we propose a provably convergent and practical framework for multi-objective reinforcement learning with max-min criterion. From a game-theoretic perspective, we reformulate max-min multi-objective reinforcement learning as a…

Machine Learning · Computer Science 2025-10-24 Woohyeon Byeon , Giseung Park , Jongseong Chae , Amir Leshem , Youngchul Sung

Deep Reinforcement Learning (DRL) policies have been shown to be vulnerable to small adversarial noise in observations. Such adversarial noise can have disastrous consequences in safety-critical environments. For instance, a self-driving…

Machine Learning · Computer Science 2024-03-28 Roman Belaire , Pradeep Varakantham , Thanh Nguyen , David Lo

Reinforcement Learning (RL) has been able to solve hard problems such as playing Atari games or solving the game of Go, with a unified approach. Yet modern deep RL approaches are still not widely used in real-world applications. One reason…

Machine Learning · Computer Science 2021-03-08 Achraf Azize , Othman Gaizi

We present a Reinforcement Learning (RL) algorithm to solve infinite horizon asymptotic Mean Field Game (MFG) and Mean Field Control (MFC) problems. Our approach can be described as a unified two-timescale Mean Field Q-learning: The…

Optimization and Control · Mathematics 2021-06-01 Andrea Angiuli , Jean-Pierre Fouque , Mathieu Laurière

We present a reduction from reinforcement learning (RL) to no-regret online learning based on the saddle-point formulation of RL, by which "any" online algorithm with sublinear regret can generate policies with provable performance…

Machine Learning · Computer Science 2020-01-03 Ching-An Cheng , Remi Tachet des Combes , Byron Boots , Geoff Gordon

Online learning algorithms that minimize regret provide strong guarantees in situations that involve repeatedly making decisions in an uncertain environment, e.g. a driver deciding what route to drive to work every day. While regret…

Computer Science and Game Theory · Computer Science 2013-09-06 Jeremiah Blocki , Nicolas Christin , Anupam Datta , Arunesh Sinha

Artificial intelligence (AI) has surpassed top human players in a variety of games. In imperfect information games, these achievements have primarily been driven by Counterfactual Regret Minimization (CFR) and its variants for computing…

Computer Science and Game Theory · Computer Science 2025-05-29 Qi Ju , Thomas Tellier , Meng Sun , Zhemei Fang , Yunfeng Luo
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