Approximately stable, school optimal, and student-truthful many-to-one matchings (via differential privacy)

Sampath Kannan; Jamie Morgenstern; Aaron Roth; Zhiwei Steven Wu

doi:10.1137/1.9781611973730.126

Approximately stable, school optimal, and student-truthful many-to-one matchings (via differential privacy)

Sampath Kannan
, Jamie Morgenstern
, Aaron Roth
, Zhiwei Steven Wu

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

10 Scopus citations

Abstract

We present a mechanism for computing asymptotically stable school optimal matchings, while guaranteeing that it is an asymptotic dominant strategy for every student to report their true preferences to the mechanism. Our main tool in this endeavor is differential privacy: we give an algorithm that coordinates a stable matching using differentially private signals which lead to our truthfulness guarantee. This is the first setting in which it is known how to achieve nontrivial truthfulness guarantees for students when computing school optimal matchings, assuming worst-case preferences (for schools and students) in large markets.

Original language	English (US)
Title of host publication	Proceedings of the 26th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2015
Publisher	Association for Computing Machinery
Pages	1890-1903
Number of pages	14
Edition	January
ISBN (Electronic)	9781611973747
DOIs	https://doi.org/10.1137/1.9781611973730.126
State	Published - 2015
Externally published	Yes
Event	26th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2015 - San Diego, United States Duration: Jan 4 2015 → Jan 6 2015

Publication series

Name	Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms
Number	January
Volume	2015-January

Other

Other	26th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2015
Country/Territory	United States
City	San Diego
Period	1/4/15 → 1/6/15

Bibliographical note

Publisher Copyright:
Copyright © 2015 by the Society for Industrial and Applied Mathmatics.

Publisher link

10.1137/1.9781611973730.126

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Kannan, S., Morgenstern, J., Roth, A., & Wu, Z. S. (2015). Approximately stable, school optimal, and student-truthful many-to-one matchings (via differential privacy). In Proceedings of the 26th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2015 (January ed., pp. 1890-1903). (Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms; Vol. 2015-January, No. January). Association for Computing Machinery. https://doi.org/10.1137/1.9781611973730.126

Approximately stable, school optimal, and student-truthful many-to-one matchings (via differential privacy). / Kannan, Sampath; Morgenstern, Jamie; Roth, Aaron et al.
Proceedings of the 26th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2015. January. ed. Association for Computing Machinery, 2015. p. 1890-1903 (Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms; Vol. 2015-January, No. January).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Kannan, S, Morgenstern, J, Roth, A & Wu, ZS 2015, Approximately stable, school optimal, and student-truthful many-to-one matchings (via differential privacy). in Proceedings of the 26th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2015. January edn, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, no. January, vol. 2015-January, Association for Computing Machinery, pp. 1890-1903, 26th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2015, San Diego, United States, 1/4/15. https://doi.org/10.1137/1.9781611973730.126

Kannan S, Morgenstern J, Roth A, Wu ZS. Approximately stable, school optimal, and student-truthful many-to-one matchings (via differential privacy). In Proceedings of the 26th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2015. January ed. Association for Computing Machinery. 2015. p. 1890-1903. (Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms; January). doi: 10.1137/1.9781611973730.126

Kannan, Sampath ; Morgenstern, Jamie ; Roth, Aaron et al. / Approximately stable, school optimal, and student-truthful many-to-one matchings (via differential privacy). Proceedings of the 26th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2015. January. ed. Association for Computing Machinery, 2015. pp. 1890-1903 (Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms; January).

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Approximately stable, school optimal, and student-truthful many-to-one matchings (via differential privacy)

Abstract

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