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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence

Fair Procedures for Fair Stable Marriage Outcomes

February 1, 2023

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Authors

Nikolaos Tziavelis

Northeastern University


Ioannis Giannakopoulos

National Technical University of Athens


Rune Quist Johansen

Aalborg University


Katerina Doka

National Technical University of Athens


Nectarios Koziris

National Technical University of Athens


Panagiotis Karras

Aarhus University


DOI:

10.1609/aaai.v34i05.6218


Abstract:

Given a two-sided market where each agent ranks those on the other side by preference, the stable marriage problem calls for finding a perfect matching such that no pair of agents prefer each other to their matches. Recent studies show that the number of stable solutions can be large in practice. Yet the classical solution to the problem, the Gale-Shapley (GS) algorithm, assigns an optimal match to each agent on one side, and a pessimal one to each on the other side; such a solution may fare well in terms of equity only in highly asymmetric markets. Finding a stable matching that minimizes the sex equality cost, an equity measure expressing the discrepancy of mean happiness among the two sides, is strongly NP-hard. Extant heuristics either (a) oblige some agents to involuntarily abandon their matches, or (b) bias the outcome in favor of some agents, or (c) need high-polynomial or unbounded time.We provide the first procedurally fair algorithms that output equitable stable marriages and are guaranteed to terminate in at most cubic time; the key to this breakthrough is the monitoring of a monotonic state function and the use of a selective criterion for accepting proposals. Our experiments with diverse simulated markets show that: (a) extant heuristics fail to yield high equity; (b) the best solution found by the GS algorithm can be very far from optimal equity; and (c) our procedures stand out in both efficiency and equity, even when compared to a non-procedurally fair approximation scheme.

Topics: AAAI

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HOW TO CITE:

Nikolaos Tziavelis||Ioannis Giannakopoulos||Rune Quist Johansen||Katerina Doka||Nectarios Koziris||Panagiotis Karras Fair Procedures for Fair Stable Marriage Outcomes Proceedings of the AAAI Conference on Artificial Intelligence (2020) 7269-7276.

Nikolaos Tziavelis||Ioannis Giannakopoulos||Rune Quist Johansen||Katerina Doka||Nectarios Koziris||Panagiotis Karras Fair Procedures for Fair Stable Marriage Outcomes AAAI 2020, 7269-7276.

Nikolaos Tziavelis||Ioannis Giannakopoulos||Rune Quist Johansen||Katerina Doka||Nectarios Koziris||Panagiotis Karras (2020). Fair Procedures for Fair Stable Marriage Outcomes. Proceedings of the AAAI Conference on Artificial Intelligence, 7269-7276.

Nikolaos Tziavelis||Ioannis Giannakopoulos||Rune Quist Johansen||Katerina Doka||Nectarios Koziris||Panagiotis Karras. Fair Procedures for Fair Stable Marriage Outcomes. Proceedings of the AAAI Conference on Artificial Intelligence 2020 p.7269-7276.

Nikolaos Tziavelis||Ioannis Giannakopoulos||Rune Quist Johansen||Katerina Doka||Nectarios Koziris||Panagiotis Karras. 2020. Fair Procedures for Fair Stable Marriage Outcomes. "Proceedings of the AAAI Conference on Artificial Intelligence". 7269-7276.

Nikolaos Tziavelis||Ioannis Giannakopoulos||Rune Quist Johansen||Katerina Doka||Nectarios Koziris||Panagiotis Karras. (2020) "Fair Procedures for Fair Stable Marriage Outcomes", Proceedings of the AAAI Conference on Artificial Intelligence, p.7269-7276

Nikolaos Tziavelis||Ioannis Giannakopoulos||Rune Quist Johansen||Katerina Doka||Nectarios Koziris||Panagiotis Karras, "Fair Procedures for Fair Stable Marriage Outcomes", AAAI, p.7269-7276, 2020.

Nikolaos Tziavelis||Ioannis Giannakopoulos||Rune Quist Johansen||Katerina Doka||Nectarios Koziris||Panagiotis Karras. "Fair Procedures for Fair Stable Marriage Outcomes". Proceedings of the AAAI Conference on Artificial Intelligence, 2020, p.7269-7276.

Nikolaos Tziavelis||Ioannis Giannakopoulos||Rune Quist Johansen||Katerina Doka||Nectarios Koziris||Panagiotis Karras. "Fair Procedures for Fair Stable Marriage Outcomes". Proceedings of the AAAI Conference on Artificial Intelligence, (2020): 7269-7276.

Nikolaos Tziavelis||Ioannis Giannakopoulos||Rune Quist Johansen||Katerina Doka||Nectarios Koziris||Panagiotis Karras. Fair Procedures for Fair Stable Marriage Outcomes. AAAI[Internet]. 2020[cited 2023]; 7269-7276.


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
Copyright 2022, Association for the Advancement of
Artificial Intelligence 1900 Embarcadero Road, Suite
101, Palo Alto, California 94303 All Rights Reserved

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