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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

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…

计算机科学与博弈论 · 计算机科学 2019-11-25 Haris Aziz , Hau Chan , Barton E. Lee , Bo Li , Toby Walsh

We study the facility location mechanism design problem where $n$ agents report their locations in Euclidean space, and the output is a single facility location. The cost function of each agent is the distance from the returned facility,…

计算机科学与博弈论 · 计算机科学 2026-05-27 Zohar Barak

We revisit the discrete heterogeneous two-facility location problem, in which there is a set of agents that occupy nodes of a line graph, and have private approval preferences over two facilities. When the facilities are located at some…

计算机科学与博弈论 · 计算机科学 2021-09-10 Panagiotis Kanellopoulos , Alexandros A. Voudouris , Rongsen Zhang

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

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…

计算机科学与博弈论 · 计算机科学 2024-10-11 Qingyun Chen , Nick Gravin , Sungjin Im

We revisit the problem of designing strategyproof mechanisms for allocating divisible items among two agents who have linear utilities, where payments are disallowed and there is no prior information on the agents' preferences. The…

计算机科学与博弈论 · 计算机科学 2017-04-13 Yun Kuen Cheung

We study the facility location problems where agents are located on a real line and divided into groups based on criteria such as ethnicity or age. Our aim is to design mechanisms to locate a facility to approximately minimize the costs of…

计算机科学与博弈论 · 计算机科学 2023-06-06 Houyu Zhou , Minming Li , Hau Chan

We study a truthful facility location problem where one out of $k\geq2$ available facilities must be built at a location chosen from a set of candidate ones in the interval $[0,1]$. This decision aims to accommodate a set of agents with…

计算机科学与博弈论 · 计算机科学 2025-05-07 Panagiotis Kanellopoulos , Alexandros A. Voudouris

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 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…

计算机科学与博弈论 · 计算机科学 2025-08-07 Toby Walsh

We consider the problem of locating a public facility on a line, where a set of $n$ strategic agents report their \emph{locations} and a mechanism determines, either deterministically or randomly, the location of the facility. Game…

计算机科学与博弈论 · 计算机科学 2013-10-29 Michal Feldman , Yoav Wilf

In this paper, we study mechanism design for single-facility location games where each agent has multiple private locations in [0, 1]. The individual objective is a satisfaction function that measures the discrepancy between the optimal…

计算机科学与博弈论 · 计算机科学 2025-12-30 Huanjun Wang , Qizhi Fang , Wenjing Liu

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 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…

计算机科学与博弈论 · 计算机科学 2025-07-17 Gabriel Istrate , Cosmin Bonchis

We study the problem of design of strategyproof in expectation (SP) mechanisms for facility location on a cycle, with the objective of minimizing the sum of costs of $n$ agents. We show that there exists an SP mechanism that attains an…

计算机科学与博弈论 · 计算机科学 2025-05-20 Krzysztof Rogowski , Marcin Dziubiński

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 consider a new setting of facility location games with ordinal preferences. In such a setting, we have a set of agents and a set of facilities. Each agent is located on a line and has an ordinal preference over the facilities. Our goal…

计算机科学与博弈论 · 计算机科学 2021-07-06 Hau Chan , Minming Li , Chenhao Wang

Facility location problems often permit facilities to be located at any position. But what if this is not the case in practice? What if facilities can only be located at particular locations like a highway exit or close to a bus stop? We…

人工智能 · 计算机科学 2021-07-22 Toby Walsh