A Few Queries Go a Long Way: Information-Distortion Tradeoffs in Matching

Georgios Amanatidis, Georgios Birmpas, Aris Filos-Ratsikas, Alexandros A. Voudouris

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider the one-sided matching problem, where n agents have preferences over n items, and these preferences are induced by underlying cardinal valuation functions. The goal is to match every agent to a single item so as to maximize the social welfare. Most of the related literature, however, assumes that the values of the agents are not a priori known, and only access to the ordinal preferences of the agents over the items is provided. Consequently, this incomplete information leads to loss of efficiency, which is measured by the notion of distortion. In this paper, we further assume that the agents can answer a small number of queries, allowing us partial access to their values. We study the interplay between elicited cardinal information (measured by the number of queries per agent) and distortion for one-sided matching, as well as a wide range of well-studied related problems. Qualitatively, our results show that with a limited number of queries, it is possible to obtain significant improvements over the classic setting, where only access to ordinal information is given.
Original languageEnglish
Title of host publicationProceedings of the Thirty-Fifth AAAI Conference on Artificial Intelligence - Vol. 35 No. 6: AAAI-21 Technical Tracks 6
PublisherAAAI Press
Pages5078-5085
Number of pages8
Volume35
ISBN (Electronic)978-1-57735-866-4
Publication statusPublished - 18 May 2021
EventThe Thirty-Fifth AAAI Conference on Artificial Intelligence - Virtual Conference
Duration: 2 Feb 20219 Feb 2021
Conference number: 35
https://aaai.org/Conferences/AAAI-21/

Publication series

NameProceedings of the AAAI Conference on Artificial Intelligence
PublisherAAAI Press
Number6
Volume35
ISSN (Print)2159-5399
ISSN (Electronic)2374-3468

Conference

ConferenceThe Thirty-Fifth AAAI Conference on Artificial Intelligence
Abbreviated titleAAAI-21
Period2/02/219/02/21
Internet address

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