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

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, ass...

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Bibliographic Details
Published in:The Journal of artificial intelligence research Vol. 74; p. 227
Main Authors: Amanatidis, Georgios, Birmpas, Georgios, Filos-Ratsikas, Aris, Voudouris, Alexandros A.
Format: Journal Article
Language:English
Published: San Francisco AI Access Foundation 01.01.2022
Subjects:
Artificial intelligence
Distortion
Matching
Queries
ISSN:1076-9757, 1076-9757, 1943-5037
Online Access:Get full text
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Summary: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.
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ISSN:1076-9757
1076-9757
1943-5037
DOI:10.1613/jair.1.12690