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Lower Bound for Online MMS Assignment of Indivisible Chores

Published: July 17, 2025 | arXiv ID: 2507.12984v1

By: Masoud Seddighin, Saeed Seddighin

Potential Business Impact:

Makes chores fairer when done one by one.

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.

Page Count
6 pages

Category
Computer Science:
CS and Game Theory