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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

We consider a problem where agents have private positions on a line, and public approval preferences over two facilities, and their cost is the maximum distance from their approved facilities. The goal is to decide the facility locations to…

Computer Science and Game Theory · Computer Science 2023-12-19 Mohammad Lotfi , Alexandros A. Voudouris

We consider a single-facility location problem, where agents are positioned on the real line and are partitioned into multiple disjoint districts. The goal is to choose a location (where a public facility is to be built) so as to minimize…

Computer Science and Game Theory · Computer Science 2021-07-13 Aris Filos-Ratsikas , Alexandros A. Voudouris

We characterize the class of group-strategyproof mechanisms for the single facility location game in any unconstrained strictly convex space. A mechanism is \emph{group-strategyproof}, if no group of agents can misreport so that all its…

Computer Science and Game Theory · Computer Science 2020-08-12 Pingzhong Tang , Dingli Yu , Shengyu Zhao

We study a version of the metric facility location problem (or, equivalently, variants of the committee selection problem) in which we must choose $k$ facilities in an arbitrary metric space to serve some set of clients $C$. We consider…

Data Structures and Algorithms · Computer Science 2025-07-24 Yue Han , Elliot Anshelevich

In the strategic facility location problem, a set of agents report their locations in a metric space and the goal is to use these reports to open a new facility, minimizing an aggregate distance measure from the agents to the facility.…

Computer Science and Game Theory · Computer Science 2024-11-06 Eric Balkanski , Vasilis Gkatzelis , Golnoosh Shahkarami

We consider the problem of locating a single facility on the real line. This facility serves a set of agents, each of whom is located on the line, and incurs a cost equal to his distance from the facility. An agent's location is private…

Computer Science and Game Theory · Computer Science 2014-09-17 Itai Feigenbaum , Jay Sethuraman , Chun Ye

The facility location with strategic agents is a canonical problem in the literature on mechanism design without money. Recently, Agrawal et. al. considered this problem in the context of machine learning augmented algorithms, where the…

Computer Science and Game Theory · Computer Science 2024-10-11 Qingyun Chen , Nick Gravin , Sungjin Im

We study the classic facility location setting, where we are given $n$ clients and $m$ possible facility locations in some arbitrary metric space, and want to choose a location to build a facility. The exact same setting also arises in…

Artificial Intelligence · Computer Science 2022-12-13 Yue Han , Christopher Jerrett , Elliot Anshelevich

Unmanned Aerial Vehicle (UAV) have emerged as a promising technique to rapidly provide wireless services to a group of mobile users simultaneously. The paper aims to address a challenging issue that each user is selfish and may misreport…

Computer Science and Game Theory · Computer Science 2019-10-08 Xinping Xu , Lingjie Duan , Minming Li

We study the mechanism design problem of facility location on a metric space in the learning-augmented framework, where mechanisms have access to imperfect predictions of the optimal facility locations. Our objective is to design…

Computer Science and Game Theory · Computer Science 2026-05-05 Hau Chan , Jianan Lin , Chenhao Wang

We consider the obnoxious facility location problem (in which agents prefer the facility location to be far from them) and propose a hierarchy of distance-based proportional fairness concepts for the problem. These fairness axioms ensure…

Computer Science and Game Theory · Computer Science 2024-11-08 Alexander Lam , Haris Aziz , Bo Li , Fahimeh Ramezani , Toby Walsh

We study facility location problems where agents control multiple locations and when reporting their locations can choose to hide some locations (hiding), report some locations more than once (replication) and lie about their locations…

Computer Science and Game Theory · Computer Science 2020-03-30 Xiang Yan , Yiling Chen

We consider the facility location problem in two dimensions. In particular, we consider a setting where agents have Euclidean preferences, defined by their ideal points, for a facility to be located in $\mathbb{R}^2$. We show that for the…

Computer Science and Game Theory · Computer Science 2022-12-14 Sumit Goel , Wade Hann-Caruthers

In this paper, we study the Facility Location Problem with Scarce Resources (FLPSR) under the assumption that agents' type follow a probability distribution. In the FLPSR, the objective is to identify the optimal locations for one or more…

Computer Science and Game Theory · Computer Science 2024-12-03 Gennaro Auricchio , Jie Zhang

We study mechanism design with predictions for the obnoxious facility location problem. We present deterministic strategyproof mechanisms that display tradeoffs between robustness and consistency on segments, squares, circles and trees. All…

Computer Science and Game Theory · Computer Science 2025-07-17 Gabriel Istrate , Cosmin Bonchis

While single-agent policy optimization in a fixed environment has attracted a lot of research attention recently in the reinforcement learning community, much less is known theoretically when there are multiple agents playing in a…

Machine Learning · Computer Science 2022-07-27 Shuang Qiu , Xiaohan Wei , Jieping Ye , Zhaoran Wang , Zhuoran Yang

This paper explores the Mechanism Design aspects of the $m$-Capacitated Facility Location Problem where the total facility capacity is less than the number of agents. Following the framework outlined by Aziz et al., the Social Welfare of…

Computer Science and Game Theory · Computer Science 2024-07-29 Gennaro Auricchio , Harry J. Clough , Jie Zhang

In the facility location problem, the task is to place one or more facilities so as to minimize the sum of the agent costs for accessing their nearest facility. Heretofore, in the strategic version, agent locations have been assumed to be…

Computer Science and Game Theory · Computer Science 2025-05-26 Richard Cole , Pranav Jangir

Our work is devoted to the metric facility location problem and addresses the selfish behavior of the players. It contributes to the line of work initiated by Procaccia and Tennenholtz [EC09] on approximate mechanism design without money.…

Computer Science and Game Theory · Computer Science 2012-02-10 Nick Gravin , Dominik Scheder