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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 27 / No. 1: Twenty-Seventh AAAI Conference on Artificial Intelligence

On the Social Welfare of Mechanisms for Repeated Batch Matching

March 8, 2023

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Authors

Elliot Anshelevich

Rensselaer Polytechnic Institute


Meenal Chhabra

Virginia Tech


Sanmay Das

Virginia Tech


Matthew Gerrior

GreaneTree Technology


DOI:

10.1609/aaai.v27i1.8666


Abstract:

We study hybrid online-batch matching problems, where agents arrive continuously, but are only matched in periodic rounds, when many of them can be considered simultaneously. Agents not getting matched in a given round remain in the market for the next round. This setting models several scenarios of interest, including many job markets as well as kidney exchange mechanisms. We consider the social utility of two commonly used mechanisms for such markets: one that aims for stability in each round (greedy), and one that attempts to maximize social utility in each round (max-weight). Surprisingly, we find that in the long term, the social utility of the greedy mechanism can be higher than that of the max-weight mechanism. We hypothesize that this is because the greedy mechanism behaves similarly to a soft threshold mechanism, where all connections below a certain threshold are rejected by the participants in favor of waiting until the next round. Motivated by this observation, we propose a method to approximately calculate the optimal threshold for an individual agent to use based on characteristics of the other agents participating, and demonstrate experimentally that social utility is high when all agents use this strategy. Thresholding can also be applied by the mechanism itself to improve social welfare; we demonstrate this with an example on graphs that model pairwise kidney exchange.

Topics: AAAI

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HOW TO CITE:

Elliot Anshelevich|| Meenal Chhabra|| Sanmay Das|| Matthew Gerrior On the Social Welfare of Mechanisms for Repeated Batch Matching Proceedings of the AAAI Conference on Artificial Intelligence, 27 (2013) 60.

Elliot Anshelevich|| Meenal Chhabra|| Sanmay Das|| Matthew Gerrior On the Social Welfare of Mechanisms for Repeated Batch Matching AAAI 2013, 60.

Elliot Anshelevich|| Meenal Chhabra|| Sanmay Das|| Matthew Gerrior (2013). On the Social Welfare of Mechanisms for Repeated Batch Matching. Proceedings of the AAAI Conference on Artificial Intelligence, 27, 60.

Elliot Anshelevich|| Meenal Chhabra|| Sanmay Das|| Matthew Gerrior. On the Social Welfare of Mechanisms for Repeated Batch Matching. Proceedings of the AAAI Conference on Artificial Intelligence, 27 2013 p.60.

Elliot Anshelevich|| Meenal Chhabra|| Sanmay Das|| Matthew Gerrior. 2013. On the Social Welfare of Mechanisms for Repeated Batch Matching. "Proceedings of the AAAI Conference on Artificial Intelligence, 27". 60.

Elliot Anshelevich|| Meenal Chhabra|| Sanmay Das|| Matthew Gerrior. (2013) "On the Social Welfare of Mechanisms for Repeated Batch Matching", Proceedings of the AAAI Conference on Artificial Intelligence, 27, p.60

Elliot Anshelevich|| Meenal Chhabra|| Sanmay Das|| Matthew Gerrior, "On the Social Welfare of Mechanisms for Repeated Batch Matching", AAAI, p.60, 2013.

Elliot Anshelevich|| Meenal Chhabra|| Sanmay Das|| Matthew Gerrior. "On the Social Welfare of Mechanisms for Repeated Batch Matching". Proceedings of the AAAI Conference on Artificial Intelligence, 27, 2013, p.60.

Elliot Anshelevich|| Meenal Chhabra|| Sanmay Das|| Matthew Gerrior. "On the Social Welfare of Mechanisms for Repeated Batch Matching". Proceedings of the AAAI Conference on Artificial Intelligence, 27, (2013): 60.

Elliot Anshelevich|| Meenal Chhabra|| Sanmay Das|| Matthew Gerrior. On the Social Welfare of Mechanisms for Repeated Batch Matching. AAAI[Internet]. 2013[cited 2023]; 60.


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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