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We study deterministic mechanisms for the two-facility location problem. Given the reported locations of n agents on the real line, such a mechanism specifies where to build the two facilities. The single-facility variant of this problem…

计算机科学与博弈论 · 计算机科学 2025-08-15 Elijah Journey Fullerton , Zeyuan Hu , C. Gregory Plaxton

The problem of scheduling unrelated machines has been studied since the inception of algorithmic mechanism design \cite{NR99}. It is a resource allocation problem that entails assigning $m$ tasks to $n$ machines for execution. Machines are…

计算机科学与博弈论 · 计算机科学 2022-04-21 Yansong Gao , Jie Zhang

We address the problem of locating facilities on the $[0,1]$ interval based on reports from strategic agents. The cost of each agent is her distance to the closest facility, and the global objective is to minimize either the maximum cost of…

计算机科学与博弈论 · 计算机科学 2017-01-04 Iddan Golomb , Christos Tzamos

Proportionality is an attractive fairness concept that has been applied to a range of problems including the facility location problem, a classic problem in social choice. In our work, we propose a concept called Strong Proportionality,…

计算机科学与博弈论 · 计算机科学 2022-06-15 Haris Aziz , Alexander Lam , Mashbat Suzuki , Toby Walsh

In a facility game one or more facilities are placed in a metric space to serve a set of selfish agents whose addresses are their private information. In a classical facility game, each agent wants to be as close to a facility as possible,…

计算机科学与博弈论 · 计算机科学 2015-03-26 Yukun Cheng , Sanming Zhou

We consider K-Facility Location games, where n strategic agents report their locations in a metric space, and a mechanism maps them to K facilities. Our main result is an elegant characterization of deterministic strategyproof mechanisms…

计算机科学与博弈论 · 计算机科学 2012-07-05 Dimitris Fotakis , Christos Tzamos

In the one-dimensional facility assignment problem, m facilities and n agents are positioned along the real line. Each agent will be assigned to a single facility to receive service. Each facility incurs a building cost, which is shared…

计算机科学与博弈论 · 计算机科学 2024-04-16 Mengfan Ma , Mingyu Xiao , Tian Bai , Xin Cheng

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…

计算机科学与博弈论 · 计算机科学 2025-08-12 Xiaojia Han , Wenjing Liu , Qizhi Fang

We initiate the study of mechanism design with outliers, where the designer can discard $z$ agents from the social cost objective. This setting is particularly relevant when some agents exhibit extreme or atypical preferences. As a natural…

计算机科学与博弈论 · 计算机科学 2025-09-19 Argyrios Deligkas , Eduard Eiben , Sophie Klumper , Guido Schäfer , Artem Tsikiridis

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…

计算机科学与博弈论 · 计算机科学 2020-10-13 Eleftherios Anastasiadis , Argyrios Deligkas

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…

计算机科学与博弈论 · 计算机科学 2023-12-19 Mohammad Lotfi , Alexandros A. Voudouris

We study the problem of locating a single facility on a real line based on the reports of self-interested agents, when agents have double-peaked preferences, with the peaks being on opposite sides of their locations. We observe that…

计算机科学与博弈论 · 计算机科学 2015-02-20 Aris Filos-Ratsikas , Minming Li , Jie Zhang , Qiang Zhang

We study a variation of facility location problems (FLPs) that aims to improve the accessibility of agents to the facility within the context of mechanism design without money. In such a variation, agents have preferences on the ideal…

计算机科学与博弈论 · 计算机科学 2024-09-16 Hau Chan , Jianan Lin , Chenhao Wang , Yanxi Xie

We study a truthful two-facility location problem in which a set of agents have private positions on the line of real numbers and known approval preferences over two different facilities. Given the locations of the two facilities, the cost…

计算机科学与博弈论 · 计算机科学 2024-01-10 Panagiotis Kanellopoulos , Alexandros A. Voudouris , Rongsen Zhang

We study the distributed facility location problem, where a set of agents with positions on the line of real numbers are partitioned into disjoint districts, and the goal is to choose a point to satisfy certain criteria, such as optimize an…

计算机科学与博弈论 · 计算机科学 2023-01-05 Aris Filos-Ratsikas , Panagiotis Kanellopoulos , Alexandros A. Voudouris , Rongsen Zhang

We study a constrained distributed heterogeneous two-facility location problem, where a set of agents with private locations on the real line are divided into disjoint groups. The constraint means that the facilities can only be built in a…

计算机科学与博弈论 · 计算机科学 2025-08-12 Xinru Xu , Wenjing Liu , Qizhi Fang

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…

计算机科学与博弈论 · 计算机科学 2024-11-08 Alexander Lam , Haris Aziz , Bo Li , Fahimeh Ramezani , Toby Walsh

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…

计算机科学与博弈论 · 计算机科学 2020-08-12 Pingzhong Tang , Dingli Yu , Shengyu Zhao

We consider a truthful facility location problem in which there is a set of agents with private locations on the line of real numbers, and the goal is to place a number of facilities at different locations chosen from the set of those…

计算机科学与博弈论 · 计算机科学 2025-02-18 Argyrios Deligkas , Mohammad Lotfi , Alexandros A. Voudouris

We study a distributed facility location problem in which a set of agents, each with a private position on the real line, is partitioned into a collection of fixed, disjoint groups. The goal is to open $k$ facilities at locations chosen…

计算机科学与博弈论 · 计算机科学 2026-01-22 Argyrios Deligkas , Panagiotis Kanellopoulos , Alexandros A. Voudouris