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We consider the problem of simultaneous learning in stochastic games with many players in the finite-horizon setting. While the typical target solution for a stochastic game is a Nash equilibrium, this is intractable with many players. We…

Computer Science and Game Theory · Computer Science 2022-10-27 William Brown

With the aim of improving performance in Markov Decision Problem in an Off-Policy setting, we suggest taking inspiration from what is done in Offline Reinforcement Learning (RL). In Offline RL, it is a common practice during policy learning…

Artificial Intelligence · Computer Science 2024-10-29 Jérôme Arjonilla , Abdallah Saffidine , Tristan Cazenave

Counterfactual regret minimization (CFR) is a popular method to deal with decision-making problems of two-player zero-sum games with imperfect information. Unlike existing studies that mostly explore for solving larger scale problems or…

Machine Learning · Computer Science 2020-09-15 Huale Li , Xuan Wang , Fengwei Jia , Yifan Li , Yulin Wu , Jiajia Zhang , Shuhan Qi

Entropy regularized algorithms such as Soft Q-learning and Soft Actor-Critic, recently showed state-of-the-art performance on a number of challenging reinforcement learning (RL) tasks. The regularized formulation modifies the standard RL…

Machine Learning · Statistics 2019-10-15 Elena Smirnova , Elvis Dohmatob

Solving the Goal-Conditioned Reward Sparse (GCRS) task is a challenging reinforcement learning problem due to the sparsity of reward signals. In this work, we propose a new formulation of GCRS tasks from the perspective of the drifted…

Machine Learning · Computer Science 2020-05-01 Hao Sun , Xinyu Pan , Bo Dai , Dahua Lin , Bolei Zhou

This paper provides theoretical bounds for empirical game theoretical analysis of complex multi-agent interactions. We provide insights in the empirical meta game showing that a Nash equilibrium of the meta-game is an approximate Nash…

Computer Science and Game Theory · Computer Science 2018-03-20 Karl Tuyls , Julien Perolat , Marc Lanctot , Joel Z Leibo , Thore Graepel

In this work we introduce a structured signaling game, an extension of the classical signaling game with a similarity structure between meanings in the context, along with a variant of the Rational Speech Act (RSA) framework which we call…

Artificial Intelligence · Computer Science 2023-05-18 Emil Carlsson , Devdatt Dubhashi

Large language models (LLMs) have enabled rapid progress in automatic heuristic discovery (AHD), yet most existing methods are predominantly limited by static evaluation against fixed instance distributions, leading to potential overfitting…

Artificial Intelligence · Computer Science 2026-02-10 Xinyi Ke , Kai Li , Junliang Xing , Yifan Zhang , Jian Cheng

We study synthesis problems with constraints in partially observable Markov decision processes (POMDPs), where the objective is to compute a strategy for an agent that is guaranteed to satisfy certain safety and performance specifications.…

Most provably-efficient learning algorithms introduce optimism about poorly-understood states and actions to encourage exploration. We study an alternative approach for efficient exploration, posterior sampling for reinforcement learning…

Machine Learning · Statistics 2013-12-30 Ian Osband , Daniel Russo , Benjamin Van Roy

Finding approximate equilibria for large-scale imperfect-information competitive games such as StarCraft, Dota, and CounterStrike remains computationally infeasible due to sparse rewards and challenging exploration over long horizons. In…

Machine Learning · Computer Science 2026-05-15 JB Lanier , Nathan Monette , Pierre Baldi , Roy Fox

Provably efficient and robust equilibrium computation in general-sum Markov games remains a core challenge in multi-agent reinforcement learning. Nash equilibrium is computationally intractable in general and brittle due to equilibrium…

Machine Learning · Computer Science 2026-03-11 Jake Gonzales , Max Horwitz , Eric Mazumdar , Lillian J. Ratliff

We address two-player general-sum stochastic Stackelberg games (SSGs), where the leader's policy is optimized considering the best-response follower whose policy is optimal for its reward under the leader. Existing policy gradient and value…

Computer Science and Game Theory · Computer Science 2026-03-17 Mikoto Kudo , Youhei Akimoto

Policy gradient and actor-critic algorithms form the basis of many commonly used training techniques in deep reinforcement learning. Using these algorithms in multiagent environments poses problems such as nonstationarity and instability.…

We introduce the Strategic Doubly Robust (SDR) estimator, a novel framework that integrates strategic equilibrium modeling with doubly robust estimation for causal inference in strategic environments. SDR addresses endogenous treatment…

Machine Learning · Computer Science 2026-04-03 Sibo Xiao

We introduce SCAL, an algorithm designed to perform efficient exploration-exploitation in any unknown weakly-communicating Markov decision process (MDP) for which an upper bound $c$ on the span of the optimal bias function is known. For an…

Machine Learning · Computer Science 2018-07-09 Ronan Fruit , Matteo Pirotta , Alessandro Lazaric , Ronald Ortner

Rationalization, a data-centric framework, aims to build self-explanatory models to explain the prediction outcome by generating a subset of human-intelligible pieces of the input data. It involves a cooperative game model where a generator…

Artificial Intelligence · Computer Science 2025-10-16 Yunxiao Zhao , Zhiqiang Wang , Xingtong Yu , Xiaoli Li , Jiye Liang , Ru Li

Robust Markov decision processes (MDPs) aim to handle changing or partially known system dynamics. To solve them, one typically resorts to robust optimization methods. However, this significantly increases computational complexity and…

Machine Learning · Computer Science 2023-03-14 Esther Derman , Yevgeniy Men , Matthieu Geist , Shie Mannor

In this work, we study model-based reinforcement learning (RL) in unknown stabilizable linear dynamical systems. When learning a dynamical system, one needs to stabilize the unknown dynamics in order to avoid system blow-ups. We propose an…

Machine Learning · Computer Science 2022-06-06 Sahin Lale , Kamyar Azizzadenesheli , Babak Hassibi , Anima Anandkumar

Generalization in reinforcement learning (RL) is of importance for real deployment of RL algorithms. Various schemes are proposed to address the generalization issues, including transfer learning, multi-task learning and meta learning, as…

Machine Learning · Computer Science 2022-10-07 Chang Yang , Ruiyu Wang , Xinrun Wang , Zhen Wang
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