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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

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

The facility location game has been studied extensively in mechanism design. In the classical model, each agent's cost is solely determined by her distance to the nearest facility. In this paper, we introduce a novel model where each…

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

In this paper, we introduce and study the problem of facility location along with the notion of \emph{`social distancing'}. The input to the problem is the road network of a city where the nodes are the residential zones, edges are the road…

Multiagent Systems · Computer Science 2021-05-12 Suman Banerjee , Bithika Pal , Maheswar Singhamahapatra

We consider the problem of locating a single facility on the real line. This facility serves a set of agents, each of whom is located on the line, and incurs a cost equal to his distance from the facility. An agent's location is private…

Computer Science and Game Theory · Computer Science 2014-09-17 Itai Feigenbaum , Jay Sethuraman , Chun Ye

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 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 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…

Computer Science and Game Theory · Computer Science 2024-09-16 Hau Chan , Jianan Lin , Chenhao Wang , Yanxi Xie

Recent years have witnessed the rise of many successful e-commerce marketplace platforms like the Amazon marketplace, AirBnB, Uber/Lyft, and Upwork, where a central platform mediates economic transactions between buyers and sellers.…

Computer Science and Game Theory · Computer Science 2018-03-01 Reza Alijani , Siddhartha Banerjee , Sreenivas Gollapudi , Kostas Kollias , Kamesh Munagala

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

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

In this note, we consider the capacitated facility location problem when the transportation costs of the instance satisfy the Monge property. We show that a straightforward dynamic program finds the optimal solution when the demands are…

Data Structures and Algorithms · Computer Science 2020-01-10 Alice Paul , David P. Williamson

This paper is devoted to the two-opposite-facility location games with a penalty whose amount depends on the distance between the two facilities to be opened by an authority. The two facilities are "opposite" in that one is popular and the…

Computer Science and Game Theory · Computer Science 2018-06-25 Xujin Chen , Xiaodong Hu , Xiaohua Jia , Minming Li , Zhongzheng Tang , Chenhao Wang

Facility Location problems ask to place facilities in a way that optimizes a given objective function so as to provide a service to all clients. These are one of the most well-studied optimization problems spanning many research areas such…

Data Structures and Algorithms · Computer Science 2020-07-01 Christine Markarian , Abdul-Nasser Kassar , Manal Yunis

In traditional facility location problems, a set of points is provided, and the objective is to determine the best location for a new facility based on criteria such as minimizing cost, time, and distances between clients and facilities.…

Optimization and Control · Mathematics 2025-03-11 Nazanin Tour-Savadkoohi , Jafar Fathali

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…

Computer Science and Game Theory · Computer Science 2020-08-12 Pingzhong Tang , Dingli Yu , Shengyu Zhao

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 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 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…

Computer Science and Game Theory · Computer Science 2025-07-17 Gabriel Istrate , Cosmin Bonchis

In this paper, we study locating charging station problem as facility location problem and its variants ($k$-Median, $k$-Facility location and $k$-center). We study the connectivity and the capacity constraints in these problem. Capacity…

Data Structures and Algorithms · Computer Science 2022-02-15 Rajni Dabas , Neelima Gupta