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The recent large scale availability of mobility data, which captures individual mobility patterns, poses novel operational problems that are exciting and challenging. Motivated by this, we introduce and study a variant of the…

Data Structures and Algorithms · Computer Science 2023-12-12 Ozan Candogan , Yiding Feng

We study competitive location problems in a continuous setting, in which facilities have to be placed in a rectangular domain $R$ of normalized dimensions of $1$ and $\rho\geq 1$, and distances are measured according to the Manhattan…

Computational Geometry · Computer Science 2022-09-07 Thomas Byrne , Sándor P. Fekete , Jörg Kalcsics , Linda Kleist

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 problem of locating a single obnoxious facility on the normalized line segment $[0,1]$ with strategic agents from a mechanism design perspective. Each agent has a preference for the undesirable location of the facility and…

Computer Science and Game Theory · Computer Science 2025-12-23 Hau Chan , Jianan Lin , Chenhao Wang

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

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

We study a constrained distributed heterogeneous two-facility location problem, where a set of agents with private locations on the real line are divided into disjoint groups. The constraint means that the facilities can only be built in a…

Computer Science and Game Theory · Computer Science 2025-08-12 Xinru Xu , Wenjing Liu , Qizhi Fang

We consider a two-sided matching problem in which the agents on one side have dichotomous preferences and the other side representing institutions has strict preferences (priorities). It captures several important applications in matching…

Computer Science and Game Theory · Computer Science 2025-02-17 Haris Aziz , Md. Shahidul Islam , Szilvia Pápai

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 three axioms in the model of constrained social choice under uncertainty where (i) agents have subjective expected utility preferences over acts and (ii) different states of nature have (possibly) different sets of available…

Theoretical Economics · Economics 2024-08-05 Eric Bahel

We study mechanism which operate on ordinal preference information (i.e., rank ordered lists of alternatives) on the full domain of weak preferences that admits indifferences. We present a novel decomposition of strategyproofness into three…

Computer Science and Game Theory · Computer Science 2020-07-15 Timo Mennle , Sven Seuken

We study the distributed facility location problem, where a set of agents with positions on the line of real numbers are partitioned into disjoint districts, and the goal is to choose a point to satisfy certain criteria, such as optimize an…

Computer Science and Game Theory · Computer Science 2023-01-05 Aris Filos-Ratsikas , Panagiotis Kanellopoulos , Alexandros A. Voudouris , Rongsen Zhang

The differentially private (DP) facility location problem seeks to determine a socially optimal placement for a public facility while ensuring that each participating agent's location remains private. To privatize its input data, a DP…

Data Structures and Algorithms · Computer Science 2026-04-14 Sara Fish , Yannai A. Gonczarowski , Jason Z. Tang , Salil Vadhan

We consider competitive facility location as a two-stage multi-agent system with two types of clients. For a given host graph with weighted clients on the vertices, first facility agents strategically select vertices for opening their…

Computer Science and Game Theory · Computer Science 2024-07-10 Simon Krogmann , Pascal Lenzner , Alexander Skopalik , Marc Uetz , Marnix C. Vos

We study a distributed facility location problem in which a set of agents, each with a private position on the real line, is partitioned into a collection of fixed, disjoint groups. The goal is to open $k$ facilities at locations chosen…

Computer Science and Game Theory · Computer Science 2026-01-22 Argyrios Deligkas , Panagiotis Kanellopoulos , Alexandros A. Voudouris

Whether the goal is to analyze voting behavior, locate facilities, or recommend products, the problem of translating between (ordinal) rankings and (numerical) utilities arises naturally in many contexts. This task is commonly approached by…

Theoretical Economics · Economics 2026-02-03 Joshua Zeitlin , Corinna Coupette

The study of approximate mechanism design for facility location problems has been in the center of research at the intersection of artificial intelligence and economics for the last decades, largely due to its practical importance in…

Computer Science and Game Theory · Computer Science 2021-06-10 Hau Chan , Aris Filos-Ratsikas , Bo Li , Minming Li , Chenhao Wang

A preference profile with $m$ alternatives and $n$ voters is $d$-Manhattan (resp. $d$-Euclidean) if both the alternatives and the voters can be placed into the $d$-dimensional space such that between each pair of alternatives, every voter…

Multiagent Systems · Computer Science 2022-01-25 Jiehua Chen , Martin Nöllenburg , Sofia Simola , Anaïs Villedieu , Markus Wallinger

We derive the optimal $\epsilon$-differentially private mechanism for a general two-dimensional real-valued (histogram-like) query function under a utility-maximization (or cost-minimization) framework for the $\ell^1$ cost function. We…

Cryptography and Security · Computer Science 2013-12-04 Quan Geng , Pramod Viswanath

Many allocation problems in multiagent systems rely on agents specifying cardinal preferences. However, allocation mechanisms can be sensitive to small perturbations in cardinal preferences, thus causing agents who make ``small" or…

Computer Science and Game Theory · Computer Science 2021-07-13 Vijay Menon , Kate Larson