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This is a Quantitative Study study.

October 20, 2025Open Access

Improved MMS Approximations for Few Agent Types

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Analysis of approximate-MMS allocations in settings of two or three agent types, suggesting better fairness solutions.

Improved guarantees for maximin share allocations were found, achieving a $rac{4}{5}$-MMS for two types.
Novel algorithms enhance fairness in settings with two or three agent types, indicating significant progress.
Exact MMS allocations do not always exist for multiple agent types, emphasizing reliance on approximations.
The approach utilizes MMS partitions to adapt solutions for fairness, potentially impacting practical applications.

Garg et al. (2025) studied this question.

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