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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 k-Facility Location games, where n strategic agents report their locations on the real line, and a mechanism maps them to k facilities. Each agent seeks to minimize his connection cost, given by a nonnegative increasing function…

Computer Science and Game Theory · Computer Science 2013-05-16 Dimitris Fotakis , Christos Tzamos

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,…

Computer Science and Game Theory · Computer Science 2015-03-26 Yukun Cheng , Sanming Zhou

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 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,…

Computer Science and Game Theory · Computer Science 2026-05-27 Zohar Barak

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…

Computer Science and Game Theory · Computer Science 2024-04-16 Mengfan Ma , Mingyu Xiao , Tian Bai , Xin Cheng

In this work we consider general facility location and social choice problems, in which sets of agents $\mathcal{A}$ and facilities $\mathcal{F}$ are located in a metric space, and our goal is to assign agents to facilities (as well as…

Multiagent Systems · Computer Science 2018-05-09 Elliot Anshelevich , Wennan Zhu

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…

Computer Science and Game Theory · Computer Science 2013-10-29 Michal Feldman , Yoav Wilf

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…

Computer Science and Game Theory · Computer Science 2025-09-19 Argyrios Deligkas , Eduard Eiben , Sophie Klumper , Guido Schäfer , Artem Tsikiridis

In Facility Location problems there are agents that should be connected to facilities and locations where facilities may be opened so that agents can connect to them. We depart from Uncapacitated Facility Location and by assuming that the…

Computer Science and Game Theory · Computer Science 2025-11-14 Thanasis Lianeas , Marios Mertzanidis , Aikaterini Nikolidaki

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,…

Computer Science and Game Theory · Computer Science 2022-06-15 Haris Aziz , Alexander Lam , Mashbat Suzuki , Toby Walsh

In this paper, we introduce and study the Facility Location Problem with Aleatory Agents (FLPAA), where the facility accommodates n agents larger than the number of agents reporting their preferences, namely n_r. The spare capacity is used…

Computer Science and Game Theory · Computer Science 2024-09-30 Gennaro Auricchio , Jie Zhang

In this paper we propose the planar obnoxious p-median problem. In the p-median problem the objective is to find p locations for facilities that minimize the weighted sum of distances between demand points and their closest facility. In the…

Optimization and Control · Mathematics 2022-09-01 Pawel Kalczynski , Zvi Drezner

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

We consider the strategyproof facility location problem on a circle. We focus on the case of 5 agents, and find a tight bound for the PCD strategyproof mechanism, which selects the reported location of an agent in proportion to the length…

Multiagent Systems · Computer Science 2025-10-21 Ido Farjoun , Reshef Meir

Man-made and natural disruptions such as planned constructions on roads, suspensions of bridges, and blocked roads by trees/mudslides/floods can often create obstacles that separate two connected regions. As a result, the traveling and…

Computer Science and Game Theory · Computer Science 2026-05-19 Hau Chan , Jianan Lin , Zining Qin , Chenhao Wang

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

The problem considered in this paper is the weighted obnoxious facility location in the convex hull of demand points. The objective function is to maximize the smallest weighted distance between a facility and a set of demand points. Three…

Optimization and Control · Mathematics 2020-08-12 Pawel Kalczynski , Atsuo Suzuki , Zvi Drezner

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 take the classic facility location problem and consider a variation, in which each agent's individual cost function is equal to their distance from the facility multiplied by a scaling factor which is determined by the facility…

Computer Science and Game Theory · Computer Science 2024-12-06 Yu He , Alexander Lam , Minming Li