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Robustly Optimal Mechanisms for Selling Multiple Goods

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  • Yeon-Koo Che
  • Weijie Zhong

Abstract

We study robustly optimal mechanisms for selling multiple items. The seller maximizes revenue robustly against a worst-case distribution of a buyer's valuations within a set of distributions, called an ``ambiguity'' set. We identify the exact forms of robustly optimal selling mechanisms and the worst-case distributions when the ambiguity set satisfies a variety of moment conditions on the values of subsets of goods. We also identify general properties of the ambiguity set that lead to the robust optimality of partial bundling which includes separate sales and pure bundling as special cases.

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  • Yeon-Koo Che & Weijie Zhong, 2021. "Robustly Optimal Mechanisms for Selling Multiple Goods," Papers 2105.02828, arXiv.org, revised Aug 2022.
    • Handle: RePEc:arx:papers:2105.02828
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    References listed on IDEAS

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    Cited by:

    1. Jerry Anunrojwong & Santiago R. Balseiro & Omar Besbes, 2022. "On the Robustness of Second-Price Auctions in Prior-Independent Mechanism Design," Papers 2204.10478, arXiv.org, revised Jan 2024.

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