No deterministic online algorithm for indivisible chores can guarantee every agent a cost below n times their maximin share, making the trivial all-to-one algorithm optimal.
Fair enough: Guaranteeing approxi- mate maximin shares.Journal of the ACM (JACM), 65(2):8, 2018
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Lower Bound for Online MMS Assignment of Indivisible Chores
No deterministic online algorithm for indivisible chores can guarantee every agent a cost below n times their maximin share, making the trivial all-to-one algorithm optimal.