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Many real-world decision problems involve the interaction of multiple self-interested agents with limited sensing ability. The partially observable stochastic game (POSG) provides a mathematical framework for modeling these problems,…

Computer Science and Game Theory · Computer Science 2024-10-30 Tyler Becker , Zachary Sunberg

In stochastic Nash equilibrium problems (SNEPs), it is natural for players to be uncertain about their complex environments and have multi-dimensional unknown parameters in their models. Among various SNEPs, this paper focuses on locally…

Optimization and Control · Mathematics 2022-04-06 Yuanhanqing Huang , Jianghai Hu

We study a target coverage problem in which a team of sensing agents, operating under limited communication, must collaboratively monitor targets that may be adaptively repositioned by an attacker. We model this interaction as a zero-sum…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Jayanth Bhargav , Zirui Xu , Vasileios Tzoumas , Mahsa Ghasemi , Shreyas Sundaram

We prove that in a normal form n-player game with m actions for each player, there exists an approximate Nash equilibrium where each player randomizes uniformly among a set of O(log(m) + log(n)) pure strategies. This result induces an…

Computer Science and Game Theory · Computer Science 2013-07-19 Yakov Babichenko , Ron Peretz

Facility location games have been a topic of major interest in economics, operations research and computer science, starting from the seminal work by Hotelling. Spatial facility location models have successfully predicted the outcome of…

Computer Science and Game Theory · Computer Science 2017-10-10 Omer Ben-Porat , Moshe Tennenholtz

We address the Nash equilibrium problem in a partial-decision information scenario, where each agent can only observe the actions of some neighbors, while its cost possibly depends on the strategies of other agents. Our main contribution is…

Optimization and Control · Mathematics 2021-05-07 Mattia Bianchi , Giuseppe Belgioioso , Sergio Grammatico

We define and analyze a multi-agent multi-armed bandit problem in which decision-making agents can observe the choices and rewards of their neighbors. Neighbors are defined by a network graph with heterogeneous and stochastic…

Optimization and Control · Mathematics 2019-05-22 Udari Madhushani , Naomi Ehrich Leonard

In this paper we focus on noncooperative games with uncertain constraints coupling the agents' decisions. We consider a setting where bounded deviations of agents' decisions from the equilibrium are possible, and uncertain constraints are…

Optimization and Control · Mathematics 2023-11-28 George Pantazis , Filiberto Fele , Kostas Margellos

Understanding agent behaviour in Multi-Agent Systems (MAS) is an important problem in domains such as autonomous driving, disaster response, and sports analytics. Existing MAS problems typically use uniform timesteps with observations for…

Machine Learning · Computer Science 2023-02-14 Gregory Everett , Ryan J. Beal , Tim Matthews , Joseph Early , Timothy J. Norman , Sarvapali D. Ramchurn

We consider the problem of locating a facility on a network, represented by a graph. A set of strategic agents have different ideal locations for the facility; the cost of an agent is the distance between its ideal location and the…

Computer Science and Game Theory · Computer Science 2009-07-14 Noga Alon , Michal Feldman , Ariel D. Procaccia , Moshe Tennenholtz

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…

Optimization and Control · Mathematics 2024-06-18 Gokce Dayanikli , Mathieu Lauriere

Distributed consensus has been widely studied for sensor network applications. Whereas the asymptotic convergence rate has been extensively explored in prior work, other important and practical issues, including energy efficiency and link…

Networking and Internet Architecture · Computer Science 2013-04-10 Lei Chen , Jeff Frolik

Today we rely on networks that are created and maintained by smart devices. For such networks, there is no governing central authority but instead the network structure is shaped by the decisions of selfish intelligent agents. A key…

Computer Science and Game Theory · Computer Science 2025-01-20 Julian Berger , Tobias Friedrich , Pascal Lenzner , Paraskevi Machaira , Janosch Ruff

Computing Nash equilibrium in multi-agent games is a longstanding challenge at the interface of game theory and computer science. It is well known that a general normal form game in N players and k strategies requires exponential space…

Computer Science and Game Theory · Computer Science 2021-12-09 Morris Yau

The decisions that human beings make to allocate time has significant bearing on economic output and to the sustenance of social networks. The time allocation problem motivates our formal analysis of the resource allocation game, where…

Computer Science and Game Theory · Computer Science 2018-08-28 Wei-Chun Lee , Vasilis Livanos , Ruta Mehta , Hari Sundaram

Multi-agent systems are prevalent in a wide range of domains including power systems, vehicular networks, and robotics. Two important problems to solve in these types of systems are how the intentions of non-coordinating agents can be…

Multiagent Systems · Computer Science 2025-09-30 Benjamin Alcorn , Eman Hammad

We consider multi-agent systems with general information networks where an agent may only observe a subset of other agents. A system designer assigns local utility functions to the agents guiding their actions towards an outcome which…

Computer Science and Game Theory · Computer Science 2025-01-30 Vartika Singh , Will Wesley , Philip N. Brown

Sensor locations to detect Poisson-distributed targets, such as seabed sensors that detect shipping traffic, can be selected to maximize the so-called void probability, which is the probability of detecting all targets. Because evaluation…

Robotics · Computer Science 2025-05-05 Mingyu Kim , Daniel J. Stilwell , Harun Yetkin , Jorge Jimenez

This study proposes a distributed algorithm that makes agents' adaptive grouping entrap multiple targets via automatic decision making, smooth flocking, and well-distributed entrapping. Agents make their own decisions about which targets to…

Multiagent Systems · Computer Science 2022-06-30 Chen Wang , Minqiang Gu , Wenxi Kuang , Dongliang Wang , Weicheng Luo , Zhaohui Shi , Zhun Fan

We consider any network environment in which the "best shot game" is played. This is the case where the possible actions are only two for every node (0 and 1), and the best response for a node is 1 if and only if all her neighbors play 0. A…

Physics and Society · Physics 2010-02-19 L. Dall'Asta , P. Pin , A. Ramezanpour