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Sparse rewards are a major bottleneck in multi-agent reinforcement learning (MARL), where simultaneous learning induces non-stationarity and makes reward design especially delicate. Reward shaping can accelerate learning, but in the…

Multiagent Systems · Computer Science 2026-05-25 Elie Abboud , Oren Gal

In fighting games, individual players of the same skill level often exhibit distinct strategies from one another through their gameplay. Despite this, the majority of AI agents for fighting games have only a single strategy for each "level"…

Machine Learning · Computer Science 2022-11-08 Emily Halina , Matthew Guzdial

Multi-round competitions often double or triple the points awarded in the final round, calling it a bonus, to maximize spectators' excitement. In a two-player competition with $n$ rounds, we aim to derive the optimal bonus size to maximize…

Computer Science and Game Theory · Computer Science 2024-06-10 Zhihuan Huang , Yuqing Kong , Tracy Xiao Liu , Grant Schoenebeck , Shengwei Xu

Effective game-theoretic modeling of defender-attacker behavior is becoming increasingly important. In many domains, the defender functions not only as a player but also the designer of the game's payoff structure. We study Stackelberg…

Computer Science and Game Theory · Computer Science 2018-05-23 Zheyuan Ryan Shi , Ziye Tang , Long Tran-Thanh , Rohit Singh , Fei Fang

Recent superhuman results in games have largely been achieved in a variety of zero-sum settings, such as Go and Poker, in which agents need to compete against others. However, just like humans, real-world AI systems have to coordinate and…

Artificial Intelligence · Computer Science 2019-12-06 Adam Lerer , Hengyuan Hu , Jakob Foerster , Noam Brown

There is a surge of interest in using formal languages such as Linear Temporal Logic (LTL) to precisely and succinctly specify complex tasks and derive reward functions for Reinforcement Learning (RL). However, existing methods often assign…

Robotics · Computer Science 2025-05-20 Minjae Kwon , Ingy ElSayed-Aly , Lu Feng

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

Playing two-player games using reinforcement learning and self-play can be challenging due to the complexity of two-player environments and the possible instability in the training process. We propose that a reinforcement learning algorithm…

Machine Learning · Computer Science 2025-02-06 Kimiya Saadat , Richard Zhao

We examine online safe multi-agent reinforcement learning using constrained Markov games in which agents compete by maximizing their expected total rewards under a constraint on expected total utilities. Our focus is confined to an episodic…

Machine Learning · Computer Science 2023-06-02 Dongsheng Ding , Xiaohan Wei , Zhuoran Yang , Zhaoran Wang , Mihailo R. Jovanović

Residential segregation in metropolitan areas is a phenomenon that can be observed all over the world. Recently, this was investigated via game-theoretic models. There, selfish agents of two types are equipped with a monotone utility…

Computer Science and Game Theory · Computer Science 2022-05-11 Davide Bilò , Vittorio Bilò , Pascal Lenzner , Louise Molitor

In the studies on symbol emergence and emergent communication in a population of agents, a computational model was employed in which agents participate in various language games. Among these, the Metropolis-Hastings naming game (MHNG)…

Computation and Language · Computer Science 2023-06-01 Jun Inukai , Tadahiro Taniguchi , Akira Taniguchi , Yoshinobu Hagiwara

This paper introduces an approach to Reinforcement Learning Algorithm by comparing their immediate rewards using a variation of Q-Learning algorithm. Unlike the conventional Q-Learning, the proposed algorithm compares current reward with…

Machine Learning · Computer Science 2010-09-15 Punit Pandey , Deepshikha Pandey , Shishir Kumar

The game of monopoly is an adversarial multi-agent domain where there is no fixed goal other than to be the last player solvent, There are useful subgoals like monopolizing sets of properties, and developing them. There is also a lot of…

Artificial Intelligence · Computer Science 2021-08-11 Sriram Gopalakrishnan , Utkarsh Soni , Tung Thai , Panagiotis Lymperopoulos , Matthias Scheutz , Subbarao Kambhampati

Reinforcement learning methods require careful design involving a reward function to obtain the desired action policy for a given task. In the absence of hand-crafted reward functions, prior work on the topic has proposed several methods…

Machine Learning · Computer Science 2018-10-16 Daiki Kimura , Subhajit Chaudhury , Ryuki Tachibana , Sakyasingha Dasgupta

We study a multi-agent decision problem in population games, where agents select from multiple available strategies and continually revise their selections based on the payoffs associated with these strategies. Unlike conventional…

Multiagent Systems · Computer Science 2024-09-17 Shinkyu Park

Deep Reinforcement Learning has been shown to be very successful in complex games, e.g. Atari or Go. These games have clearly defined rules, and hence allow simulation. In many practical applications, however, interactions with the…

Machine Learning · Computer Science 2019-02-12 Andreas Merentitis , Kashif Rasul , Roland Vollgraf , Abdul-Saboor Sheikh , Urs Bergmann

We consider concurrent games played on graphs. At every round of the game, each player simultaneously and independently selects a move; the moves jointly determine the transition to a successor state. Two basic objectives are the safety…

Computer Science and Game Theory · Computer Science 2008-12-18 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger

We study a multi-player one-round game termed Stackelberg Network Pricing Game, in which a leader can set prices for a subset of $m$ priceable edges in a graph. The other edges have a fixed cost. Based on the leader's decision one or more…

Data Structures and Algorithms · Computer Science 2008-02-21 Patrick Briest , Martin Hoefer , Piotr Krysta

In repeated interactions between individuals, we do not expect that exactly the same situation will occur from one time to another. Contrary to what is common in models of repeated games in the literature, most real situations may differ a…

Populations and Evolution · Quantitative Biology 2007-05-23 Anders Eriksson , Kristian Lindgren

Recent advances in multi-agent reinforcement learning (MARL) have achieved super-human performance in games like Quake 3 and Dota 2. Unfortunately, these techniques require orders-of-magnitude more training rounds than humans and don't…

Machine Learning · Computer Science 2020-10-19 Tianjun Zhang , Huazhe Xu , Xiaolong Wang , Yi Wu , Kurt Keutzer , Joseph E. Gonzalez , Yuandong Tian