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Human coordination often relies on the ability to influence the beliefs of others through strategic action. In multi-agent reinforcement learning, opponent shaping attempts to replicate this influence, though existing methods typically…

Artificial Intelligence · Computer Science 2026-05-29 Aarav G Sane , Karthik Sivachandran , Rohan Paleja

When one agent interacts with a multi-agent environment, it is challenging to deal with various opponents unseen before. Modeling the behaviors, goals, or beliefs of opponents could help the agent adjust its policy to adapt to different…

Machine Learning · Computer Science 2022-06-22 Xiaopeng Yu , Jiechuan Jiang , Wanpeng Zhang , Haobin Jiang , Zongqing Lu

Reinforcement learning solutions have great success in the 2-player general sum setting. In this setting, the paradigm of Opponent Shaping (OS), in which agents account for the learning of their co-players, has led to agents which are able…

Machine Learning · Computer Science 2023-12-27 Alexandra Souly , Timon Willi , Akbir Khan , Robert Kirk , Chris Lu , Edward Grefenstette , Tim Rocktäschel

Among the great successes of Reinforcement Learning (RL), self-play algorithms play an essential role in solving competitive games. Current self-play algorithms optimize the agent to maximize expected win-rates against its current or…

Machine Learning · Computer Science 2023-12-18 Yuhua Jiang , Qihan Liu , Xiaoteng Ma , Chenghao Li , Yiqin Yang , Jun Yang , Bin Liang , Qianchuan Zhao

A growing number of learning methods are actually differentiable games whose players optimise multiple, interdependent objectives in parallel -- from GANs and intrinsic curiosity to multi-agent RL. Opponent shaping is a powerful approach to…

Multiagent Systems · Computer Science 2021-01-19 Alistair Letcher , Jakob Foerster , David Balduzzi , Tim Rocktäschel , Shimon Whiteson

Game theory serves as a powerful tool for distributed optimization in multi-agent systems in different applications. In this paper we consider multi-agent systems that can be modeled by means of potential games whose potential function…

Optimization and Control · Mathematics 2018-04-13 Tatiana Tatarenko

Reinforcement learning involves agents interacting with an environment to complete tasks. When rewards provided by the environment are sparse, agents may not receive immediate feedback on the quality of actions that they take, thereby…

Multiagent Systems · Computer Science 2022-02-22 Baicen Xiao , Bhaskar Ramasubramanian , Radha Poovendran

Potential-based reward shaping (PBRS) is a particular category of machine learning methods which aims to improve the learning speed of a reinforcement learning agent by extracting and utilizing extra knowledge while performing a task. There…

Artificial Intelligence · Computer Science 2023-03-15 Babak Badnava , Mona Esmaeili , Nasser Mozayani , Payman Zarkesh-Ha

Proficient game agents with diverse play styles enrich the gaming experience and enhance the replay value of games. However, recent advancements in game AI based on reinforcement learning have predominantly focused on improving proficiency,…

Artificial Intelligence · Computer Science 2025-09-23 Lingfeng Li , Yunlong Lu , Yongyi Wang , Wenxin Li

We investigate the challenge of multi-agent deep reinforcement learning in partially competitive environments, where traditional methods struggle to foster reciprocity-based cooperation. LOLA and POLA agents learn reciprocity-based…

Computer Science and Game Theory · Computer Science 2024-04-11 Milad Aghajohari , Tim Cooijmans , Juan Agustin Duque , Shunichi Akatsuka , Aaron Courville

This paper presents an algorithmic framework for learning robust policies in asymmetric imperfect-information games, where the joint reward could depend on the uncertain opponent type (a private information known only to the opponent itself…

Artificial Intelligence · Computer Science 2020-03-05 Macheng Shen , Jonathan P. How

Recent RL research has utilized reward shaping--particularly complex shaping rewards such as intrinsic motivation (IM)--to encourage agent exploration in sparse-reward environments. While often effective, ``reward hacking'' can lead to the…

Machine Learning · Computer Science 2025-05-20 Grant C. Forbes , Jianxun Wang , Leonardo Villalobos-Arias , Arnav Jhala , David L. Roberts

Multi-agent settings are quickly gathering importance in machine learning. This includes a plethora of recent work on deep multi-agent reinforcement learning, but also can be extended to hierarchical RL, generative adversarial networks and…

Artificial Intelligence · Computer Science 2018-09-21 Jakob N. Foerster , Richard Y. Chen , Maruan Al-Shedivat , Shimon Whiteson , Pieter Abbeel , Igor Mordatch

Multi-Agent Reinforcement Learning (MARL) considers settings in which a set of coexisting agents interact with one another and their environment. The adaptation and learning of other agents induces non-stationarity in the environment…

Machine Learning · Computer Science 2020-06-09 Ian Davies , Zheng Tian , Jun Wang

Large Language Models (LLMs) are increasingly being deployed as autonomous agents in real-world environments. As these deployments scale, multi-agent interactions become inevitable, making it essential to understand strategic behavior in…

Machine Learning · Computer Science 2025-10-10 Marta Emili Garcia Segura , Stephen Hailes , Mirco Musolesi

In multi-agent settings with mixed incentives, methods developed for zero-sum games have been shown to lead to detrimental outcomes. To address this issue, opponent shaping (OS) methods explicitly learn to influence the learning dynamics of…

Artificial Intelligence · Computer Science 2024-02-13 Akbir Khan , Timon Willi , Newton Kwan , Andrea Tacchetti , Chris Lu , Edward Grefenstette , Tim Rocktäschel , Jakob Foerster

This paper introduces a reinforcement learning framework that enables controllable and diverse player behaviors without relying on human gameplay data. Existing approaches often require large-scale player trajectories, train separate models…

Machine Learning · Computer Science 2025-12-12 Atahan Cilan , Atay Özgövde

Many real-world multi-agent interactions consider multiple distinct criteria, i.e. the payoffs are multi-objective in nature. However, the same multi-objective payoff vector may lead to different utilities for each participant. Therefore,…

Multiagent Systems · Computer Science 2020-11-17 Roxana Rădulescu , Timothy Verstraeten , Yijie Zhang , Patrick Mannion , Diederik M. Roijers , Ann Nowé

In multi-agent reinforcement learning, multiple agents learn simultaneously while interacting with a common environment and each other. Since the agents adapt their policies during learning, not only the behavior of a single agent becomes…

Artificial Intelligence · Computer Science 2022-04-13 Yuan Tian , Klaus-Rudolf Kladny , Qin Wang , Zhiwu Huang , Olga Fink

Providing reinforcement learning agents with informationally rich human knowledge can dramatically improve various aspects of learning. Prior work has developed different kinds of shaping methods that enable agents to learn efficiently in…

Human-Computer Interaction · Computer Science 2018-11-13 Chao Yu , Tianpei Yang , Wenxuan Zhu , Dongxu wang , Guangliang Li
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