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Machine learning algorithms learn to solve a task, but are unable to improve their ability to learn. Meta-learning methods learn about machine learning algorithms and improve them so that they learn more quickly. However, existing…

Machine Learning · Computer Science 2025-01-28 Calarina Muslimani , Alex Lewandowski , Dale Schuurmans , Matthew E. Taylor , Jun Luo

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

It is known that learning of players who interact in a repeated game can be interpreted as an evolutionary process in a population of ideas. These analogies have so far mostly been established in deterministic models, and memory loss in…

Populations and Evolution · Quantitative Biology 2018-04-09 Robin Nicole , Peter Sollich , Tobias Galla

We study a simple adaptive model in the framework of an N -player normal form game. The model consists of a repeated game where the players only know their own action space and their own payoff scored at each stage, not those of the other…

Computer Science and Game Theory · Computer Science 2017-06-12 Mario Bravo

We present a new combined \textit{mean field control game} (MFCG) problem which can be interpreted as a competitive game between collaborating groups and its solution as a Nash equilibrium between groups. Players coordinate their strategies…

Optimization and Control · Mathematics 2023-02-16 Andrea Angiuli , Nils Detering , Jean-Pierre Fouque , Mathieu Lauriere , Jimin Lin

We study the emergence of cooperative behaviors in reinforcement learning agents by introducing a challenging competitive multi-agent soccer environment with continuous simulated physics. We demonstrate that decentralized, population-based…

Artificial Intelligence · Computer Science 2021-05-21 Siqi Liu , Guy Lever , Josh Merel , Saran Tunyasuvunakool , Nicolas Heess , Thore Graepel

In this paper, we delve into the utilization of the negative momentum technique in constrained minimax games. From an intuitive mechanical standpoint, we introduce a novel framework for momentum buffer updating, which extends the findings…

Machine Learning · Computer Science 2025-01-03 Zijian Fang , Zongkai Liu , Chao Yu , Chaohao Hu

The common purpose of applying reinforcement learning (RL) to asset management is the maximization of profit. The extrinsic reward function used to learn an optimal strategy typically does not take into account any other preferences or…

Machine Learning · Computer Science 2022-09-16 Charl Maree , Christian W. Omlin

We study a setting in which two players play a (possibly approximate) Nash equilibrium of a bimatrix game, while a learner observes only their actions and has no knowledge of the equilibrium or the underlying game. A natural question is…

Computer Science and Game Theory · Computer Science 2026-05-27 Annalisa Barbara , Riccardo Poiani , Martino Bernasconi , Andrea Celli

In reinforcement learning (RL), different reward functions can define the same optimal policy but result in drastically different learning performance. For some, the agent gets stuck with a suboptimal behavior, and for others, it solves the…

Machine Learning · Computer Science 2025-02-25 Grigorii Veviurko , Wendelin Böhmer , Mathijs de Weerdt

Federated learning offers a decentralized approach to machine learning, where multiple agents collaboratively train a model while preserving data privacy. In this paper, we investigate the decision-making and equilibrium behavior in…

Computer Science and Game Theory · Computer Science 2025-03-13 Lihui Yi , Xiaochun Niu , Ermin Wei

Mean Field Games (MFGs) have been introduced to efficiently approximate games with very large populations of strategic agents. Recently, the question of learning equilibria in MFGs has gained momentum, particularly using model-free…

This paper considers games where the utilities for agents are the sum of a term proportional to a social utility, and another term that is an individual cost or reward. The agents are assumed to be irrational in their perception of the…

Computer Science and Game Theory · Computer Science 2026-05-21 Ashok Krishnan K. S. , Helene Le Cadre , Ana Busic

Inverse Reinforcement Learning (IRL) aims to facilitate a learner's ability to imitate expert behavior by acquiring reward functions that explain the expert's decisions. Regularized IRL applies strongly convex regularizers to the learner's…

Machine Learning · Computer Science 2020-12-04 Wonseok Jeon , Chen-Yang Su , Paul Barde , Thang Doan , Derek Nowrouzezahrai , Joelle Pineau

The long-run behavior of multi-agent learning - and, in particular, no-regret learning - is relatively well-understood in potential games, where players have aligned interests. By contrast, in harmonic games - the strategic counterpart of…

Computer Science and Game Theory · Computer Science 2024-12-31 Davide Legacci , Panayotis Mertikopoulos , Christos H. Papadimitriou , Georgios Piliouras , Bary S. R. Pradelski

We study multi-player general-sum Markov games with one of the players designated as the leader and the other players regarded as followers. In particular, we focus on the class of games where the followers are myopic, i.e., they aim to…

Machine Learning · Computer Science 2021-12-28 Han Zhong , Zhuoran Yang , Zhaoran Wang , Michael I. Jordan

The objective of a reinforcement learning agent is to discover better actions through exploration. However, typical exploration techniques aim to maximize rewards, often incurring high costs in both exploration and learning processes. We…

Machine Learning · Computer Science 2024-12-24 Akane Tsuboya , Yu Kono , Tatsuji Takahashi

We show that natural classes of regularized learning algorithms with a form of recency bias achieve faster convergence rates to approximate efficiency and to coarse correlated equilibria in multiplayer normal form games. When each player in…

Computer Science and Game Theory · Computer Science 2015-12-14 Vasilis Syrgkanis , Alekh Agarwal , Haipeng Luo , Robert E. Schapire

We study learning in a dynamically evolving environment modeled as a Markov game between a learner and a strategic opponent that can adapt to the learner's strategies. While most existing works in Markov games focus on external regret as…

Machine Learning · Computer Science 2024-12-11 Thanh Nguyen-Tang , Raman Arora

We use system-theoretic passivity methods to study evolutionary Nash equilibria learning in large populations of agents engaged in strategic, non-cooperative interactions. The agents follow learning rules (rules for short) that capture…

Computer Science and Game Theory · Computer Science 2024-08-02 Nuno C. Martins , Jair Certório , Matthew S. Hankins
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