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In the classical framework of local distributed network computing, it is generally assumed that the entities executing distributed algorithms are altruistic. However, in various scenarios, the value of the output produced by an entity may…

分布式、并行与集群计算 · 计算机科学 2016-07-14 Simon Collet , Pierre Fraigniaud , Paolo Penna

In this paper, we study a large population game with heterogeneous dynamics and cost functions solving a consensus problem. Moreover, the agents have communication constraints which appear as: (1) an Additive-White Gaussian Noise (AWGN)…

系统与控制 · 电气工程与系统科学 2022-08-26 Shubham Aggarwal , Muhammad Aneeq uz Zaman , Tamer Başar

In this tutorial, we provide an introduction to machine learning methods for finding Nash equilibria in games with large number of agents. These types of problems are important for the operations research community because of their…

最优化与控制 · 数学 2024-06-18 Gokce Dayanikli , Mathieu Lauriere

Network congestion games are a convenient model for reasoning about routing problems in a network: agents have to move from a source to a target vertex while avoiding congestion, measured as a cost depending on the number of players using…

计算机科学与博弈论 · 计算机科学 2022-07-05 Aline Goeminne , Nicolas Markey , Ocan Sankur

Continually arriving information is communicated through a network of $n$ agents, with the value of information to the $j$'th recipient being a decreasing function of $j/n$, and communication costs paid by recipient. Regardless of details…

概率论 · 数学 2010-05-27 David J. Aldous

Although it has been known since the 1970s that a globally optimal strategy profile in a common-payoff game is a Nash equilibrium, global optimality is a strict requirement that limits the result's applicability. In this work, we show that…

计算机科学与博弈论 · 计算机科学 2022-07-08 Scott Emmons , Caspar Oesterheld , Andrew Critch , Vincent Conitzer , Stuart Russell

The Kelly or proportional allocation mechanism is a simple and efficient auction-based scheme that distributes an infinitely divisible resource proportionally to the agents bids. When agents are aware of the allocation rule, their…

计算机科学与博弈论 · 计算机科学 2026-03-27 Younes Ben Mazziane , Cleque-Marlain Mboulou Moutoubi , Eitan Altman , Francesco De Pellegrini

Multi-agent systems outperform single agent in complex collaborative tasks. However, in large-scale scenarios, ensuring timely information exchange during decentralized task execution remains a challenge. This work presents an online…

多智能体系统 · 计算机科学 2023-09-07 Junjie Wang , Meng Guo , Zhongkui Li

The Team-maxmin equilibrium prescribes the optimal strategies for a team of rational players sharing the same goal and without the capability of correlating their strategies in strategic games against an adversary. This solution concept can…

人工智能 · 计算机科学 2016-11-21 Nicola Basilico , Andrea Celli , Giuseppe De Nittis , Nicola Gatti

We propose a new class of game-theoretic models for network formation in which strategies are not directly related to edge choices, but instead correspond more generally to the exertion of social effort. The observed social network is thus…

计算机科学与博弈论 · 计算机科学 2010-09-23 Christian Borgs , Jennifer Chayes , Jian Ding , Brendan Lucier

This paper investigates a class of mixed stochastic linear-quadratic-Gaussian (LQG) social optimization and Nash game in the context of a large scale system. Two types of interactive agents are involved: a major agent and a large number of…

最优化与控制 · 数学 2021-12-14 Xinwei Feng , Jianhui Huang , Zhenghong Qiu

Nash equilibrium is a solution concept in non-strictly competitive, non-cooperative game theory that finds applications in various scientific and engineering disciplines. A non-strictly competitive, non-cooperative game model is presented…

量子物理 · 物理学 2015-02-05 Faisal Shah Khan

Many real-world systems are composed of interdependent networks that rely on one another. Such networks are typically designed and operated by different entities, who aim at maximizing their own payoffs. There exists a game among these…

物理与社会 · 物理学 2017-03-08 Yuhang Fan , Gongze Cao , Shibo He , Jiming Chen , Youxian Sun

We consider the classical secret sharing problem in the case where all agents are selfish but rational. In recent work, Kol and Naor show that, when there are two players, in the non-simultaneous communication model, i.e. when rushing is…

数据结构与算法 · 计算机科学 2012-05-04 Varsha Dani , Mahnush Movahedi , Jared Saia

Large Language Model (LLM) agents are increasingly deployed in multi-agent systems requiring strategic coordination. While recent work has analyzed LLM behavior in two-player games, coalition formation, where $n$ agents dynamically form…

计算机科学与博弈论 · 计算机科学 2026-04-17 Dongxin Guo , Jikun Wu , Siu-Ming Yiu

We consider a general-sum N-player linear-quadratic game with stochastic dynamics over a finite horizon and prove the global convergence of the natural policy gradient method to the Nash equilibrium. In order to prove the convergence of the…

最优化与控制 · 数学 2022-08-16 Ben Hambly , Renyuan Xu , Huining Yang

We study agents on a network playing an iterated Prisoner's dilemma against their neighbors. The resulting spatially extended co-evolutionary game exhibits stationary states which are Nash equilibria. After perturbation of these equilibria,…

无序系统与神经网络 · 物理学 2009-11-07 Holger Ebel , Stefan Bornholdt

The large majority of risk-sharing transactions involve few agents, each of whom can heavily influence the structure and the prices of securities. This paper proposes a game where agents' strategic sets consist of all possible sharing…

风险管理 · 定量金融 2016-07-11 Michail Anthropelos , Constantinos Kardaras

We present a fully-distributed algorithm for Nash equilibrium seeking in aggregative games over networks. The proposed scheme endows each agent with a gradient-based scheme equipped with a tracking mechanism to locally reconstruct the…

系统与控制 · 电气工程与系统科学 2025-05-28 Guido Carnevale , Filippo Fabiani , Filiberto Fele , Kostas Margellos , Giuseppe Notarstefano

In this paper we consider a distributed coordination game played by a large number of agents with finite information sets, which characterizes emergence of a single dominant attribute out of a large number of competitors. Formally, $N$…

经济学 · 定量金融 2016-12-21 S. Agarwal , D. Ghosh , A. S. Chakrabarti