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Related papers: Truthful Facility Location with Additive Errors

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In this paper, we investigate the Mechanism Design aspects of the $m$-Capacitated Facility Location Problem ($m$-CFLP) on a line. We focus on two frameworks. In the first framework, the number of facilities is arbitrary, all facilities have…

Computer Science and Game Theory · Computer Science 2024-04-23 Gennaro Auricchio , Zihe Wang , Jie Zhang

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

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…

Computer Science and Game Theory · Computer Science 2025-08-15 Elijah Journey Fullerton , Zeyuan Hu , C. Gregory Plaxton

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 studied the Fault-Tolerant Facility Placement problem (FTFP) which generalizes the uncapacitated facility location problem (UFL). In FTFP, we are given a set F of sites at which facilities can be built, and a set C of clients with some…

Data Structures and Algorithms · Computer Science 2011-08-30 Li Yan , Marek Chrobak

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 study the distributed facility location games with candidate locations, where agents on a line are partitioned into groups. Both desirable and obnoxious facility location settings are discussed. In distributed location problems,…

Computer Science and Game Theory · Computer Science 2025-01-03 Feiyue Sun

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

We consider the facility location problem in a metric space, focusing on the case of three agents. We show that selecting the reported location of each agent with probability proportional to the distance between the other two agents results…

Computer Science and Game Theory · Computer Science 2019-07-09 Reshef Meir

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

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

In this paper, we study the two-facility location game on a line with optional preference where the acceptable set of facilities for each agent could be different and an agent's cost is his distance to the closest facility within his…

Data Structures and Algorithms · Computer Science 2019-07-23 Minming Li , Pinyan Lu , Yuhao Yao , Jialin Zhang

We study the truthful facility assignment problem, where a set of agents with private most-preferred points on a metric space are assigned to facilities that lie on the metric space, under capacity constraints on the facilities. The goal is…

Computer Science and Game Theory · Computer Science 2016-10-06 Ioannis Caragiannis , Aris Filos-Ratsikas , Soren Kristoffer Stiil Frederiksen , Kristoffer Arnsfelt Hansen , Zihan Tan

We study a joint facility location and cost planning problem in a competitive market under random utility maximization (RUM) models. The objective is to locate new facilities and make decisions on the costs (or budgets) to spend on the new…

Optimization and Control · Mathematics 2024-01-17 Ngan Ha Duong , Tien Thanh Dam , Thuy Anh Ta , Tien Mai

We study mechanisms for candidate selection that seek to minimize the social cost, where voters and candidates are associated with points in some underlying metric space. The social cost of a candidate is the sum of its distances to each…

Computer Science and Game Theory · Computer Science 2015-12-29 Michal Feldman , Amos Fiat , Iddan Golomb

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 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 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…

Computer Science and Game Theory · Computer Science 2025-12-30 Huanjun Wang , Qizhi Fang , Wenjing Liu

Location Routing is a fundamental planning problem in logistics, in which strategic location decisions on the placement of facilities (depots, distribution centers, warehouses etc.) are taken based on accurate estimates of operational…

Discrete Mathematics · Computer Science 2021-08-06 Felipe Carrasco Heine , Antonia Demleitner , Jannik Matuschke

An important feature of many real world facility location problems are capacity limits on the facilities. We show here how capacity constraints make it harder to design strategy proof mechanisms for facility location, but…

Artificial Intelligence · Computer Science 2020-09-18 Toby Walsh