Under MNL choices, adaptive two-sided assortment with pair-dependent revenues admits a randomized static (1/2 - ε)-approximation, and (1 - 1/e - ε) when each supplier's revenue is uniform; same-order revenues admit a deterministic 1/2 greedy.
Online Assortment Optimization for Two-Sided Matching Platforms
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Adaptive Two-sided Assortment Optimization: Revenue Maximization
Under MNL choices, adaptive two-sided assortment with pair-dependent revenues admits a randomized static (1/2 - ε)-approximation, and (1 - 1/e - ε) when each supplier's revenue is uniform; same-order revenues admit a deterministic 1/2 greedy.