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Related papers: Obnoxious Facility Location Problems: Strategyproo…

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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…

Computer Science and Game Theory · Computer Science 2015-02-20 Aris Filos-Ratsikas , Minming Li , Jie Zhang , Qiang Zhang

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 address the problem of strategyproof (SP) facility location mechanisms on discrete trees. Our main result is a full characterization of onto and SP mechanisms. In particular, we prove that when a single agent significantly affects the…

Computer Science and Game Theory · Computer Science 2021-02-05 Alina Filimonov , Reshef Meir

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…

Computer Science and Game Theory · Computer Science 2025-05-20 Krzysztof Rogowski , Marcin Dziubiński

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

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

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 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 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 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…

Computer Science and Game Theory · Computer Science 2012-07-05 Dimitris Fotakis , Christos Tzamos

We consider multi-agent systems with general information networks where an agent may only observe a subset of other agents. A system designer assigns local utility functions to the agents guiding their actions towards an outcome which…

Computer Science and Game Theory · Computer Science 2025-01-30 Vartika Singh , Will Wesley , Philip N. Brown

The facility location problem is an NP-hard optimization problem. Therefore, approximation algorithms are often used to solve large instances. Such algorithms often perform much better than worst-case analysis suggests. Therefore,…

Data Structures and Algorithms · Computer Science 2019-03-29 Stefan Klootwijk , Bodo Manthey

We consider the problem of locating a facility to serve a set of agents located along a line. The Nash welfare objective function, defined as the product of the agents' utilities, is known to provide a compromise between fairness and…

Computer Science and Game Theory · Computer Science 2023-10-09 Alexander Lam , Haris Aziz , Toby Walsh

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…

Computer Science and Game Theory · Computer Science 2017-04-13 Yun Kuen Cheung

The design of algorithms or protocols that are able to align the goals of the planner with the selfish interests of the agents involved in these protocols is of paramount importance in almost every decentralized setting (such as, computer…

Computer Science and Game Theory · Computer Science 2023-02-28 Diodato Ferraioli , Carmine Ventre

In this paper, we investigate the $k$-Facility Location Problem ($k$-FLP) within the Bayesian Mechanism Design framework, in which agents' preferences are samples of a probability distributed on a line. Our primary contribution is…

Computer Science and Game Theory · Computer Science 2024-07-10 Gennaro Auricchio , Jie Zhang

We consider search by mobile agents for a hidden, idle target, placed on the infinite line. Feasible solutions are agent trajectories in which all agents reach the target sooner or later. A special feature of our problem is that the agents…

Data Structures and Algorithms · Computer Science 2023-03-29 Konstantinos Georgiou , Nikos Giachoudis , Evangelos Kranakis

In this paper, we study of the $m$-Capacitated Facility Location Problem ($m$-CFLP) on the line from a Bayesian Mechanism Design perspective and propose a novel class of mechanisms: the \textit{Extended Ranking Mechanisms} (ERMs). We first…

Computer Science and Game Theory · Computer Science 2024-06-18 Gennaro Auricchio , Jie Zhang , Mengxiao Zhang

We study the problem of selecting a representative committee of $k$ agents from a collection of $n$ agents in a common metric space. This problem is related to choosing $k$ facilities in facility location and $k$-median problems. However,…

Computer Science and Game Theory · Computer Science 2025-10-27 Christopher Jerrett , Elliot Anshelevich

We consider a strategic decision-making problem where a logistics provider (LP) seeks to locate collection and delivery points (CDPs) with the objective to reduce total logistics costs. The customers maximize utility that depends on their…

Optimization and Control · Mathematics 2025-12-09 David Pinzon Ulloa , Ammar Metnani , Emma Frejinger