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Author

Tamar Garbuz

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Preprint Sep 2026

Fair Share Allocations for Almost All Agents

We study fair allocation of indivisible goods among agents with additive valuations. Our main result guarantees every agent her exact AnyPrice Share (APS) whenever the total entitlement is at most $1-\varepsilon$ and each individual entitlement is sufficiently small. For equal entitlements, this yields a $1$-out-of-$(n...

T. Ezra, Tamar Garbuz · 0 citations
Preprint Sep 2026

Improved Impossibility Bounds for Maximin Share Allocations

The maximin share (MMS) is a central fairness benchmark for allocating indivisible items, but it need not be simultaneously attainable even under additive preferences. While extensive work has developed approximation guarantees, quantitative impossibility bounds have received comparatively little attention. We establis...

T. Ezra, Tamar Garbuz · 6 citations

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