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Repeatedly Matching Items to Agents Fairly and Efficiently

Caragiannis, I and Narang, S (2023) Repeatedly Matching Items to Agents Fairly and Efficiently. In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 981 .

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Official URL: https://doi.org/10.1007/978-3-031-43254-5_20


We consider a novel setting where a set of items are matched to the same set of agents repeatedly over multiple rounds. Each agent gets exactly one item per round, which brings interesting challenges to finding efficient and/or fair repeated matchings. A particular feature of our model is that the value of an agent for an item in some round depends on the number of rounds in which the item has been used by the agent in the past. We present a set of positive and negative results about the efficiency and fairness of repeated matchings. For example, when items are goods, a variation of the well-studied fairness notion of envy-freeness up to one good (EF1 ) can be satisfied under certain conditions. Furthermore, it is intractable to achieve fairness and (approximate) efficiency simultaneously, even though they are achievable separately. For mixed items, which can be goods for some agents and chores for others, we propose and study a new notion of fairness that we call swap envy-freeness (swapEF ). © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Item Type: Journal Article
Publication: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Publisher: Springer Science and Business Media Deutschland GmbH
Additional Information: The copyright for this article belongs to the Authors.
Keywords: Artificial intelligence, Condition; Efficiency and fairness; Matchings, Efficiency
Department/Centre: Division of Electrical Sciences > Computer Science & Automation
Date Deposited: 28 Feb 2024 05:48
Last Modified: 28 Feb 2024 05:48
URI: https://eprints.iisc.ac.in/id/eprint/83559

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