Research map / Learning theory and algorithms / Submodular and game algorithms
Groupwise Maximin Fair Allocation of Indivisible Goods
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use the polynomial-time EFL allocation algorithm | Additive-valuation fair allocation · Additive valuations | GMMS approximation guarantee: 1/2 | Helped |
| Apply the EFL algorithm to randomly generated instances | EFL algorithm · 1000 random instances | Average GMMS approximation factor: 0.98 | Helped |
| Use the EFL algorithm instead of exact GMMS computation | GMMS computation · Random instances | Runtime: 10^7 times faster | Helped |
| Strengthen MMS to groupwise maximin share fairness | Indivisible-goods allocation · Additive valuations | Fairness guarantee | Helped |
| Use EF1 allocations under binary valuations | Additive, binary valuations · Additive, binary valuations | GMMS allocation existence | Helped |
| Choose a lexicographically maximal allocation | Agents with identical valuations · Identical valuations | GMMS allocation existence | Helped |
| Use the EFL algorithm on same-order preference instances | EFL algorithm · Same-order preferences versus non-SOP instances | Average GMMS approximation factor | Hurt |
| Use the EFL algorithm when the number of items is a multiple of the number of agents | EFL algorithm · Randomly generated instances | GMMS approximation factor | Helped |
| Use the EFL algorithm rather than arbitrary-order good assignment | Fair allocation algorithm · Additive valuations | EFL guarantee | Helped |
Closest papers by meaning
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- Achieving Maximin Share and EFX/EF1 Guarantees Simultaneously (AAAI 2025 · similarity 0.91)
- Improved Maximin Share Approximations for Chores by Bin Packing (AAAI 2025 · similarity 0.90)
- Settling the Maximin Share Fairness for Scheduling among Groups of Machines (ICML 2025 · similarity 0.89)
- Epistemic Pairwise Maximin Share (NeurIPS 2026 · similarity 0.89)
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