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

Authors

  • Georgios Amanatidis Department of Mathematical Sciences, University of Essex ILLC, University of Amsterdam
  • Georgios Birmpas Department of Computer, Control and Management Engineering, Sapienza University of Rome
  • Aris Filos-Ratsikas Department of Computer Science, University of Liverpool
  • Alexandros A. Voudouris School of Computer Science and Electronic Engineering, University of Essex

Keywords:

Social Choice / Voting

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.

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Published

2021-05-18

How to Cite

Amanatidis, G., Birmpas, G., Filos-Ratsikas, A., & Voudouris, A. A. (2021). A Few Queries Go a Long Way: Information-Distortion Tradeoffs in Matching. Proceedings of the AAAI Conference on Artificial Intelligence, 35(6), 5078-5085. Retrieved from https://ojs.aaai.org/index.php/AAAI/article/view/16642

Issue

Section

AAAI Technical Track on Game Theory and Economic Paradigms