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A tournament on $n$ agents is a complete oriented graph with the agents as vertices and edges that describe the win-loss outcomes of the $\binom{n}{2}$ matches played between each pair of agents. The winner of a tournament is determined by…

计算机科学与博弈论 · 计算机科学 2024-08-21 David Pennock , Ariel Schvartzman , Eric Xue

This article explores the interaction of two agents during a geopolitical operation. Collaborative work is considered, rather than being done alone. However, each agent has the goal of maximizing personal net profit. We will have 3…

最优化与控制 · 数学 2024-05-20 O. A. Malafeyev , V. Vekovtsev

We study the problem of information sharing and cooperation in Multi-Player Multi-Armed bandits. We propose the first algorithm that achieves logarithmic regret for this problem when the collision reward is unknown. Our results are based on…

机器学习 · 计算机科学 2022-10-04 Aldo Pacchiano , Peter Bartlett , Michael I. Jordan

Stochastic multi-armed bandits solve the Exploration-Exploitation dilemma and ultimately maximize the expected reward. Nonetheless, in many practical problems, maximizing the expected reward is not the most desirable objective. In this…

机器学习 · 计算机科学 2013-01-10 Amir Sani , Alessandro Lazaric , Rémi Munos

Large scale systems are forecasted to greatly impact our future lives thanks to their wide ranging applications including cooperative robotics, mobility on demand, resource allocation, supply chain management. While technological…

最优化与控制 · 数学 2024-12-20 Dario Paccagnan

We establish that algorithmic experiments in zero-sum games "fail miserably" to confirm the unique, sharp prediction of maxmin equilibration. Contradicting nearly a century of economic thought that treats zero-sum games nearly axiomatically…

计算机科学与博弈论 · 计算机科学 2019-05-30 Yun Kuen Cheung , Georgios Piliouras

Repeated interactions are ubiquitous and known to promote social behaviour. While research often focuses on cooperation in the Prisoner's Dilemma, experimental evidence suggests repeated interactions also foster fairness. This study…

适应与自组织系统 · 物理学 2026-04-07 Prosanta Mandal , Arunava Patra , Sagar Chakraborty

Despite many distributed resource allocation (DRA) algorithms have been reported in literature, it is still unknown how to allocate the resource optimally over multiple interacting coalitions. One major challenge in solving such a problem…

最优化与控制 · 数学 2025-09-24 Jialing Zhou , Guanghui Wen , Yuezu Lv , Tao Yang , Guanrong Chen

Training agents in multi-agent competitive games presents significant challenges due to their intricate nature. These challenges are exacerbated by dynamics influenced not only by the environment but also by opponents' strategies. Existing…

机器学习 · 计算机科学 2023-08-22 The Viet Bui , Tien Mai , Thanh Hong Nguyen

Multi-player multi-armed bandit is an increasingly relevant decision-making problem, motivated by applications to cognitive radio systems. Most research for this problem focuses exclusively on the settings that players have \textit{full…

机器学习 · 计算机科学 2022-12-14 Guojun Xiong , Jian Li

The availability of challenging simulation environments is pivotal for advancing the field of Multi-Agent Reinforcement Learning (MARL). In cooperative MARL settings, the StarCraft Multi-Agent Challenge (SMAC) has gained prominence as a…

人工智能 · 计算机科学 2024-12-25 Yue Deng , Yan Yu , Weiyu Ma , Zirui Wang , Wenhui Zhu , Jian Zhao , Yin Zhang

Learning problems commonly exhibit an interesting feedback mechanism wherein the population data reacts to competing decision makers' actions. This paper formulates a new game theoretic framework for this phenomenon, called "multi-player…

计算机科学与博弈论 · 计算机科学 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

It is well known that a non-cooperative game may have multiple equilibria. In this paper we consider the efficiency of games, measured by the ratio between the aggregate payoff over all Nash equilibria and that over all admissible controls.…

计算机科学与博弈论 · 计算机科学 2025-08-20 Jianfeng Zhang

The optimal offloading of tasks in heterogeneous edge-computing scenarios is of great practical interest, both in the selfish and fully cooperative setting. In practice, such systems are typically very large, rendering exact solutions in…

分布式、并行与集群计算 · 计算机科学 2022-09-09 Kai Cui , Mustafa Burak Yilmaz , Anam Tahir , Anja Klein , Heinz Koeppl

We consider a stochastic tournament game in which each player is rewarded based on her rank in terms of the completion time of her own task and is subject to cost of effort. When players are homogeneous and the rewards are purely rank…

最优化与控制 · 数学 2018-11-02 Erhan Bayraktar , Jakša Cvitanić , Yuchong Zhang

Scalable oversight, the process by which weaker AI systems supervise stronger ones, has been proposed as a key strategy to control future superintelligent systems. However, it is still unclear how scalable oversight itself scales. To…

人工智能 · 计算机科学 2025-10-28 Joshua Engels , David D. Baek , Subhash Kantamneni , Max Tegmark

The online knapsack problem is a classic problem in the field of online algorithms. Its canonical version asks how to pack items of different values and weights arriving online into a capacity-limited knapsack so as to maximize the total…

机器学习 · 计算机科学 2024-04-18 Adam Lechowicz , Rik Sengupta , Bo Sun , Shahin Kamali , Mohammad Hajiesmaili

A key challenge in multi-robot and multi-agent systems is generating solutions that are robust to other self-interested or even adversarial parties who actively try to prevent the agents from achieving their goals. The practicality of…

人工智能 · 计算机科学 2017-10-19 Trong Nghia Hoang , Yuchen Xiao , Kavinayan Sivakumar , Christopher Amato , Jonathan How

Motivated by applications such as online labor markets we consider a variant of the stochastic multi-armed bandit problem where we have a collection of arms representing strategic agents with different performance characteristics. The…

计算机科学与博弈论 · 计算机科学 2025-03-11 Seyed A. Esmaeili , Suho Shin , Aleksandrs Slivkins

Various approaches have emerged for multi-armed bandits in distributed systems. The multiplayer dueling bandit problem, common in scenarios with only preference-based information like human feedback, introduces challenges related to…

机器学习 · 计算机科学 2025-04-24 Or Raveh , Junya Honda , Masashi Sugiyama