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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 a multi-stage facility reallocation problems on the real line, where a facility is being moved between time stages based on the locations reported by $n$ agents. The aim of the reallocation algorithm is to minimise the social…

Computer Science and Game Theory · Computer Science 2021-03-25 Bart de Keijzer , Dominik Wojtczak

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

We consider the {\em mobile facility location} (\mfl) problem. We are given a set of facilities and clients located in a common metric space. The goal is to move each facility from its initial location to a destination and assign each…

Data Structures and Algorithms · Computer Science 2013-01-21 Sara Ahmadian , Zachary Friggstad , Chaitanya Swamy

We consider strategy proof mechanisms for facility location which maximize equitability between agents. As is common in the literature, we measure equitability with the Gini index. We first prove a simple but fundamental impossibility…

Computer Science and Game Theory · Computer Science 2025-06-13 Toby Walsh

Facility location games have been a topic of major interest in economics, operations research and computer science, starting from the seminal work by Hotelling. Spatial facility location models have successfully predicted the outcome of…

Computer Science and Game Theory · Computer Science 2017-10-10 Omer Ben-Porat , Moshe Tennenholtz

This article describes a model and an exact solution method for facility location problems with decision-dependent uncertainties. The model allows characterizing the probability distribution of the random elements as a function of the…

Optimization and Control · Mathematics 2025-09-15 Giovanni Pantuso

We present a randomized distributed approximation algorithm for the metric uncapacitated facility location problem. The algorithm is executed on a bipartite graph in the Congest model yielding a (1.861 + epsilon) approximation factor, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-09 Patrick Briest , Bastian Degener , Barbara Kempkes , Peter Kling , Peter Pietrzyk

We study Facility Location with Matching, a Facility Location problem where, given additional information about which pair of clients is compatible to be matched, we need to match as many clients as possible and assign each matched client…

Data Structures and Algorithms · Computer Science 2026-02-24 Fateme Abbasi , Martin Böhm , Jarosław Byrka , Matin Mohammadi , Yongho Shin

We consider the problem of designing mechanisms that interact with strategic agents through strategic intermediaries (or mediators), and investigate the cost to society due to the mediators' strategic behavior. Selfish agents with private…

Computer Science and Game Theory · Computer Science 2015-01-20 Moshe Babaioff , Moran Feldman , Moshe Tennenholtz

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 consider the information design problem in spatial resource competition settings. Agents gather at a location deciding whether to move to another location for possibly higher level of resources, and the utility each agent gets by moving…

Computer Science and Game Theory · Computer Science 2019-09-30 Pu Yang , Krishnamurthy Iyer , Peter Frazier

We study Nash equilibria in strategic facility location games where clients are located in an arbitrary metric space. Specifically, there are $n$ clients, and the goal is to choose a facility from a set of given locations, so that the total…

Computer Science and Game Theory · Computer Science 2026-04-21 Yue Gruszecki , Elliot Anshelevich

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

Facility location games have been a topic of major interest in economics, operations research and computer science, starting from the seminal work by Hotelling. In the classical pure location Hotelling game businesses compete for maximizing…

Computer Science and Game Theory · Computer Science 2018-08-08 Omer Ben-Porat , Moshe Tennenholtz

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 study the mechanism design problem of scheduling unrelated machines and we completely characterize the decisive truthful mechanisms for two players when the domain contains both positive and negative values. We show that the class of…

Computer Science and Game Theory · Computer Science 2008-07-23 George Christodoulou , Elias Koutsoupias , Angelina Vidali

We study a variant of the competitive facility location problem, in which a company is to locate new facilities in a market where competitor's facilities already exist. We consider the scenario where only a limited number of possible…

Optimization and Control · Mathematics 2020-02-25 Yun Hui Lin , Qingyun Tian

Facility location is a prominent optimization problem that has inspired a large quantity of both theoretical and practical studies in combinatorial optimization. Although the problem has been investigated under various settings reflecting…

Data Structures and Algorithms · Computer Science 2019-07-09 Kangsan Kim , Yongho Shin , Hyung-Chan An

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
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