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We study mechanisms for the facility location problem augmented with predictions of the optimal facility location. We demonstrate that an egalitarian viewpoint which considers both the maximum distance of any agent from the facility and the…

Computer Science and Game Theory · Computer Science 2025-08-07 Toby Walsh

We study the facility location games with candidate locations from a mechanism design perspective. Suppose there are n agents located in a metric space whose locations are their private information, and a group of candidate locations for…

Computer Science and Game Theory · Computer Science 2020-11-02 Zhongzheng Tang , Chenhao Wang , Mengqi Zhang , Yingchao Zhao

We consider a strategic variant of the facility location problem. We would like to locate a facility on a closed interval. There are n agents located on that interval, divided into two types: type 1 agents, who wish for the facility to be…

Computer Science and Game Theory · Computer Science 2015-07-20 Itai Feigenbaum , Jay Sethuraman

We consider a facility location game in which $n$ agents reside at known locations on a path, and $k$ heterogeneous facilities are to be constructed on the path. Each agent is adversely affected by some subset of the facilities, and is…

Computer Science and Game Theory · Computer Science 2023-05-23 Fu Li , C. Gregory Plaxton , Vaibhav B. Sinha

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 consider the facility location problem in the one-dimensional setting where each facility can serve a limited number of agents from the algorithmic and mechanism design perspectives. From the algorithmic perspective, we prove that the…

Computer Science and Game Theory · Computer Science 2019-11-25 Haris Aziz , Hau Chan , Barton E. Lee , Bo Li , Toby Walsh

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

In this work we introduce an alternative model for the design and analysis of strategyproof mechanisms that is motivated by the recent surge of work in "learning-augmented algorithms". Aiming to complement the traditional approach in…

Computer Science and Game Theory · Computer Science 2022-04-05 Priyank Agrawal , Eric Balkanski , Vasilis Gkatzelis , Tingting Ou , Xizhi Tan

We consider a truthful facility location problem with agents that have private positions on the line of real numbers and known optional preferences over two obnoxious facilities that must be placed at locations chosen from a given set of…

Computer Science and Game Theory · Computer Science 2024-10-22 Panagiotis Kanellopoulos , Alexandros A. Voudouris

We study the classic mechanism design problem of locating a public facility on a real line. In contrast to previous work, we assume that the agents are unable to fully specify where their preferred location lies, and instead only provide…

Computer Science and Game Theory · Computer Science 2019-05-23 Vijay Menon , Kate Larson

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 study the problem of locating a single obnoxious facility on the normalized line segment $[0,1]$ with strategic agents from a mechanism design perspective. Each agent has a preference for the undesirable location of the facility and…

Computer Science and Game Theory · Computer Science 2025-12-23 Hau Chan , Jianan Lin , Chenhao Wang

We study heterogeneous $k$-facility location games. In this model there are $k$ facilities where each facility serves a different purpose. Thus, the preferences of the agents over the facilities can vary arbitrarily. Our goal is to design…

Computer Science and Game Theory · Computer Science 2020-10-13 Eleftherios Anastasiadis , Argyrios Deligkas

In this paper, we study a truthful two-obnoxious-facility location problem, in which each agent has a private location in [0, 1] and a public optional preference over two obnoxious facilities, and there is a minimum distance constraint d…

Computer Science and Game Theory · Computer Science 2025-08-12 Xiaojia Han , Wenjing Liu , Qizhi Fang

Facility location is fundamental in operations research, mechanism design, and algorithmic game theory, with applications ranging from urban infrastructure planning to distributed systems. Recent research in this area has focused on…

Data Structures and Algorithms · Computer Science 2025-07-15 Yangguang Shi , Zhenyu Xue

Algorithms with predictions have attracted much attention in the last years across various domains, including variants of facility location, as a way to surpass traditional worst-case analyses. We study the $k$-facility location mechanism…

Computer Science and Game Theory · Computer Science 2024-03-20 Zohar Barak , Anupam Gupta , Inbal Talgam-Cohen

We focus on the problem of placing two facilities along a linear space to serve a group of agents. Each agent is committed to minimizing the distance between her location and the closest facility. A mechanism is an algorithm that maps the…

Computer Science and Game Theory · Computer Science 2024-04-11 Pinyan Lu , Zihan Luo , Jialin Zhang

The study of approximate mechanism design for facility location problems has been in the center of research at the intersection of artificial intelligence and economics for the last decades, largely due to its practical importance in…

Computer Science and Game Theory · Computer Science 2021-06-10 Hau Chan , Aris Filos-Ratsikas , Bo Li , Minming Li , Chenhao Wang

In this paper, we propose a constrained heterogeneous facility location model where a set of alternative locations are feasible for building facilities and the number of facilities built at each location is limited. Supposing that a set of…

Computer Science and Game Theory · Computer Science 2022-07-08 Qi Zhao , Wenjing Liu , Qizhi Fang , Qingqin Nong

We address the problem of strategyproof (SP) facility location mechanisms on discrete trees. Our main result is a full characterization of onto and SP mechanisms. In particular, we prove that when a single agent significantly affects the…

Computer Science and Game Theory · Computer Science 2021-02-05 Alina Filimonov , Reshef Meir
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