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This buys all copies of the first item while not touching the second item, so both µ′ and δ′ gains 1 2

When X ≥ 2k, X(1,2)<k , we let the (1 , 2) buyers go first, then the (1) buyers

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Multi-Unit Combinatorial Prophet Inequalities

cs.GT · 2025-05-21 · conditional · novelty 8.0

For XOS buyers with k copies per item, supply-based posted pricing obtains a 1-(k/(k+1))^k competitive ratio, and dynamic pricing obtains 1-O(sqrt(log k/k)).

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  • Multi-Unit Combinatorial Prophet Inequalities cs.GT · 2025-05-21 · conditional · none · ref 4

    For XOS buyers with k copies per item, supply-based posted pricing obtains a 1-(k/(k+1))^k competitive ratio, and dynamic pricing obtains 1-O(sqrt(log k/k)).