Lower Bound for Online MMS Assignment of Indivisible Chores

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Hauptverfasser: Seddighin, Masoud, Seddighin, Saeed
Format: Preprint
Veröffentlicht: 2025
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author Seddighin, Masoud
Seddighin, Saeed
author_facet Seddighin, Masoud
Seddighin, Saeed
contents We consider the problem of online assignment of indivisible chores under \MMS\ criteria. The previous work proves that any deterministic online algorithm for chore division has a competitive ratio of at least 2. In this work, we improve this bound by showing that no deterministic online algorithm can obtain a competitive ratio better than $n$ for $n$ agents.
format Preprint
id arxiv_https___arxiv_org_abs_2507_12984
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Lower Bound for Online MMS Assignment of Indivisible Chores
Seddighin, Masoud
Seddighin, Saeed
Computer Science and Game Theory
We consider the problem of online assignment of indivisible chores under \MMS\ criteria. The previous work proves that any deterministic online algorithm for chore division has a competitive ratio of at least 2. In this work, we improve this bound by showing that no deterministic online algorithm can obtain a competitive ratio better than $n$ for $n$ agents.
title Lower Bound for Online MMS Assignment of Indivisible Chores
topic Computer Science and Game Theory
url https://arxiv.org/abs/2507.12984