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We focus on the problem of \emph{Answer-Level Fine-Tuning} (ALFT), where the goal is to optimize a language model based on the correctness or properties of its final answers, rather than the specific reasoning traces used to produce them.…

Machine Learning · Computer Science 2026-05-01 Mehryar Mohri , Jon Schneider , Yifan Wu

Imitation learning algorithms can be used to learn a policy from expert demonstrations without access to a reward signal. However, most existing approaches are not applicable in multi-agent settings due to the existence of multiple (Nash)…

Machine Learning · Computer Science 2018-07-27 Jiaming Song , Hongyu Ren , Dorsa Sadigh , Stefano Ermon

Game-theoretic solution concepts, such as the Nash equilibrium, have been key to finding stable joint actions in multi-player games. However, it has been shown that the dynamics of agents' interactions, even in simple two-player games with…

Multiagent Systems · Computer Science 2025-05-20 Natalia Koliou , George Vouros

We present a polynomial-time algorithm that always finds an (approximate) Nash equilibrium for repeated two-player stochastic games. The algorithm exploits the folk theorem to derive a strategy profile that forms an equilibrium by…

Computer Science and Game Theory · Computer Science 2012-06-18 Enrique Munoz de Cote , Michael L. Littman

An extensive literature in economics and social science addresses contests, in which players compete to outperform each other on some measurable criterion, often referred to as a player's score, or output. Players incur costs that are an…

Computer Science and Game Theory · Computer Science 2013-08-01 Leslie Ann Goldberg , Paul W. Goldberg , Piotr Krysta , Carmine Ventre

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

Extensive-form games are a common model for multiagent interactions with imperfect information. In two-player zero-sum games, the typical solution concept is a Nash equilibrium over the unconstrained strategy set for each player. In many…

Computer Science and Game Theory · Computer Science 2019-02-07 Trevor Davis , Kevin Waugh , Michael Bowling

We consider potential games with mixed-integer variables, for which we propose two distributed, proximal-like equilibrium seeking algorithms. Specifically, we focus on two scenarios: i) the underlying game is generalized ordinal and the…

Optimization and Control · Mathematics 2022-10-28 Filippo Fabiani , Barbara Franci , Simone Sagratella , Martin Schmidt , Mathias Staudigl

Learning algorithms are often used to make decisions in sequential decision-making environments. In multi-agent settings, the decisions of each agent can affect the utilities/losses of the other agents. Therefore, if an agent is good at…

Computer Science and Game Theory · Computer Science 2024-07-09 Angelos Assos , Yuval Dagan , Constantinos Daskalakis

Model-based algorithms -- algorithms that explore the environment through building and utilizing an estimated model -- are widely used in reinforcement learning practice and theoretically shown to achieve optimal sample efficiency for…

Machine Learning · Computer Science 2021-02-09 Qinghua Liu , Tiancheng Yu , Yu Bai , Chi Jin

We discuss the problem of decentralized multi-agent reinforcement learning (MARL) in this work. In our setting, the global state, action, and reward are assumed to be fully observable, while the local policy is protected as privacy by each…

Multiagent Systems · Computer Science 2021-11-02 Kuo Li , Qing-Shan Jia

Consider a 2-player normal-form game repeated over time. We introduce an adaptive learning procedure, where the players only observe their own realized payoff at each stage. We assume that agents do not know their own payoff function, and…

Computer Science and Game Theory · Computer Science 2013-06-13 Mario Bravo , Mathieu Faure

In the theory of multi-agent systems, deception refers to the strategic manipulation of information to influence the behavior of other agents, ultimately altering the long-term dynamics of the entire system. Recently, this concept has been…

Systems and Control · Electrical Eng. & Systems 2025-08-27 Michael Tang , Miroslav Krstic , Jorge Poveda

In this paper, the problem of finding a Nash equilibrium of a multi-player game is considered. The players are only aware of their own cost functions as well as the action space of all players. We develop a relatively fast algorithm within…

Systems and Control · Computer Science 2017-05-09 Farzad Salehisadaghiani , Lacra Pavel

Many real-world applications can be described as large-scale games of imperfect information. To deal with these challenging domains, prior work has focused on computing Nash equilibria in a handcrafted abstraction of the domain. In this…

Machine Learning · Computer Science 2016-06-29 Johannes Heinrich , David Silver

This article investigates the optimal control problem with disturbance rejection for discrete-time multi-agent systems under cooperative and non-cooperative graphical games frameworks. Given the practical challenges of obtaining accurate…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Xinyang Wang , Martin Guay , Shimin Wang , Hongwei Zhang

We develop a flexible stochastic approximation framework for analyzing the long-run behavior of learning in games (both continuous and finite). The proposed analysis template incorporates a wide array of popular learning algorithms,…

Computer Science and Game Theory · Computer Science 2023-07-04 Panayotis Mertikopoulos , Ya-Ping Hsieh , Volkan Cevher

This paper investigates the evaluation of learned multiagent strategies in the incomplete information setting, which plays a critical role in ranking and training of agents. Traditionally, researchers have relied on Elo ratings for this…

Multiagent Systems · Computer Science 2020-01-13 Mark Rowland , Shayegan Omidshafiei , Karl Tuyls , Julien Perolat , Michal Valko , Georgios Piliouras , Remi Munos

Multi-agent learning is a challenging problem in machine learning that has applications in different domains such as distributed control, robotics, and economics. We develop a prescriptive model of multi-agent behavior using Markov games.…

Artificial Intelligence · Computer Science 2020-05-27 Jalal Etesami , Christoph-Nikolas Straehle

Trust region methods are widely applied in single-agent reinforcement learning problems due to their monotonic performance-improvement guarantee at every iteration. Nonetheless, when applied in multi-agent settings, the guarantee of trust…

Multiagent Systems · Computer Science 2021-06-15 Ying Wen , Hui Chen , Yaodong Yang , Zheng Tian , Minne Li , Xu Chen , Jun Wang
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