Maximin-Aware Allocations of Indivisible Goods

Hau Chan, Jing Chen, Bo Li, Xiaowei Wu

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

Abstract

We study envy-free allocations of indivisible goods to agents in settings where each agent is unaware of the goods allocated to other agents. In particular, we propose the maximin aware (MMA) fairness measure, which guarantees that every agent, given the bundle allocated to her, is aware that she does not envy at least one other agent, even if she does not know how the other goods are distributed among other agents. We also introduce two of its relaxations, and discuss their egalitarian guarantee and existence. Finally, we present a polynomial-time algorithm, which computes an allocation that approximately satisfies MMA or its relaxations. Interestingly, the returned allocation is also 1/2 -approximate EFX when all agents have subadditive valuations, which improves the algorithm in [Plaut and Roughgarden, SODA 2018].
Original languageEnglish
Title of host publicationAAMAS
PublisherInternational Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS)
Pages1871-1873
Number of pages3
Publication statusPublished - 2019
Externally publishedYes

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