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We present Coordinated Proximal Policy Optimization (CoPPO), an algorithm that extends the original Proximal Policy Optimization (PPO) to the multi-agent setting. The key idea lies in the coordinated adaptation of step size during the…

Artificial Intelligence · Computer Science 2021-11-09 Zifan Wu , Chao Yu , Deheng Ye , Junge Zhang , Haiyin Piao , Hankz Hankui Zhuo

We propose a simple, general and effective technique, Reward Randomization for discovering diverse strategic policies in complex multi-agent games. Combining reward randomization and policy gradient, we derive a new algorithm,…

Artificial Intelligence · Computer Science 2021-03-15 Zhenggang Tang , Chao Yu , Boyuan Chen , Huazhe Xu , Xiaolong Wang , Fei Fang , Simon Du , Yu Wang , Yi Wu

In iterative approaches to empirical game-theoretic analysis (EGTA), the strategy space is expanded incrementally based on analysis of intermediate game models. A common approach to strategy exploration, represented by the double oracle…

Computer Science and Game Theory · Computer Science 2023-02-13 Yongzhao Wang , Michael P. Wellman

This paper introduces a novel payoff-based learning scheme for distributed optimization in repeatedly-played strategic-form games. Standard reinforcement-based learning exhibits several limitations with respect to their asymptotic…

Computer Science and Game Theory · Computer Science 2018-03-08 Georgios C. Chasparis

We introduce a sequential estimator for continuous time dynamic discrete choice models (single-agent models and games) by adapting the nested pseudo likelihood (NPL) estimator of Aguirregabiria and Mira (2002, 2007), developed for discrete…

Econometrics · Economics 2024-08-23 Jason R. Blevins , Minhae Kim

Learning in strategy games (e.g. StarCraft, poker) requires the discovery of diverse policies. This is often achieved by iteratively training new policies against existing ones, growing a policy population that is robust to exploit. This…

Artificial Intelligence · Computer Science 2022-02-16 Siqi Liu , Luke Marris , Daniel Hennes , Josh Merel , Nicolas Heess , Thore Graepel

In this work, we consider the problem of finding a set of tours to a traveling salesperson problem (TSP) instance maximizing diversity, while satisfying a given cost constraint. This study aims to investigate the effectiveness of applying…

Neural and Evolutionary Computing · Computer Science 2022-04-20 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

We present Reward-Switching Policy Optimization (RSPO), a paradigm to discover diverse strategies in complex RL environments by iteratively finding novel policies that are both locally optimal and sufficiently different from existing ones.…

Machine Learning · Computer Science 2022-05-04 Zihan Zhou , Wei Fu , Bingliang Zhang , Yi Wu

In single-agent Markov decision processes, an agent can optimize its policy based on the interaction with environment. In multi-player Markov games (MGs), however, the interaction is non-stationary due to the behaviors of other players, so…

Computer Science and Game Theory · Computer Science 2021-10-19 Yuanheng Zhu , Dongbin Zhao , Mengchen Zhao , Dong Li

We study the problem of learning exploration-exploitation strategies that effectively adapt to dynamic environments, where the task may change over time. While RNN-based policies could in principle represent such strategies, in practice…

Recent advances in Deep Reinforcement Learning (DRL) have largely focused on improving the performance of agents with the aim of replacing humans in known and well-defined environments. The use of these techniques as a game design tool for…

Machine Learning · Computer Science 2020-12-08 Alessandro Sestini , Alexander Kuhnle , Andrew D. Bagdanov

Competitive multi-agent reinforcement learning in imperfect-information games requires agents to act under partial observability and against adversarial opponents, necessitating stochastic policies. While self-play reinforcement learning…

Machine Learning · Computer Science 2026-05-20 Zhiyuan Fan , Gabriele Farina

Reinforcement learning from human feedback (RLHF) has emerged as the standard paradigm for aligning large language models with human preferences. However, reward-based methods grounded in the Bradley-Terry assumption struggle to capture the…

Artificial Intelligence · Computer Science 2026-04-08 Fang Wu , Xu Huang , Weihao Xuan , Zhiwei Zhang , Yijia Xiao , Guancheng Wan , Xiaomin Li , Bing Hu , Peng Xia , Jure Leskovec , Yejin Choi

Self-play alignment has emerged as an effective approach for fine-tuning large language models (LLMs), formulating preference optimization as a two-player game. However, the regularization with respect to the reference policy, which is…

Machine Learning · Computer Science 2025-07-09 Xiaohang Tang , Sangwoong Yoon , Seongho Son , Huizhuo Yuan , Quanquan Gu , Ilija Bogunovic

Current research applying N-level Stackelberg Game to multi-agent systems often uses the default decision order of agents provided by the environment. However, this raises the question: does the order of agents necessarily affect the final…

Multiagent Systems · Computer Science 2026-05-11 Xiangyu Liu , Liang Zhang , Bo Jin , Ziqi Wei

Maneuver decision-making can be regarded as a Markov decision process and can be address by reinforcement learning. However, original reinforcement learning algorithms can hardly solve the maneuvering decision-making problem. One reason is…

Artificial Intelligence · Computer Science 2023-09-19 Zhang Hong-Peng

We model online recommendation systems using the hidden Markov multi-state restless multi-armed bandit problem. To solve this we present Monte Carlo rollout policy. We illustrate numerically that Monte Carlo rollout policy performs better…

Systems and Control · Electrical Eng. & Systems 2021-02-09 Rahul Meshram , Kesav Kaza

Machine learning has been adapted to help solve NP-hard combinatorial optimization problems. One prevalent way is learning to construct solutions by deep neural networks, which has been receiving more and more attention due to the high…

Machine Learning · Computer Science 2024-05-07 Chengrui Gao , Haopu Shang , Ke Xue , Dong Li , Chao Qian

Mode-dependent architectural components (layers that behave differently during training and evaluation, such as Batch Normalization or dropout) are commonly used in visual reinforcement learning but can destabilize on-policy optimization.…

Machine Learning · Computer Science 2026-02-06 Mohamad Mohamad , Francesco Ponzio , Xavier Descombes

Proximal Policy Optimization with Adaptive Exploration (axPPO) is introduced as a novel learning algorithm. This paper investigates the exploration-exploitation tradeoff within the context of reinforcement learning and aims to contribute…

Machine Learning · Computer Science 2024-05-09 Andrei Lixandru