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Using duality theory techniques we derive simple, closed-form formulas for bounding the optimal revenue of a monopolist selling many heterogeneous goods, in the case where the buyer's valuations for the items come i.i.d. from a uniform…

计算机科学与博弈论 · 计算机科学 2015-10-14 Yiannis Giannakopoulos

We study robustly optimal mechanisms for selling multiple items. The seller maximizes revenue 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…

理论经济学 · 经济学 2024-08-26 Yeon-Koo Che , Weijie Zhong

We study a seller who sells a single good to multiple bidders with uncertainty over the joint distribution of bidders' valuations, as well as bidders' higher-order beliefs about their opponents. The seller only knows the (possibly…

理论经济学 · 经济学 2022-02-16 Ethan Che

An indivisible object may be sold to one of $n$ agents who know their valuations of the object. The seller would like to use a revenue-maximizing mechanism but her knowledge of the valuations' distribution is scarce: she knows only the…

理论经济学 · 经济学 2020-08-27 Alex Suzdaltsev

A monopolist seller of multiple goods screens a buyer whose type is initially unknown to both but drawn from a commonly known distribution. The buyer privately learns about his type via a signal. We derive the seller's optimal mechanism in…

理论经济学 · 经济学 2021-05-27 Rahul Deb , Anne-Katrin Roesler

We consider optimal mechanism design for the case with one buyer and two items. The buyer's valuations towards the two items are independent and additive. In this setting, optimal mechanism is unknown for general valuation distributions. We…

计算机科学与博弈论 · 计算机科学 2014-04-30 Zihe Wang , Pingzhong Tang

Maximizing the revenue from selling _more than one_ good (or item) to a single buyer is a notoriously difficult problem, in stark contrast to the one-good case. For two goods, we show that simple "one-dimensional" mechanisms, such as…

计算机科学与博弈论 · 计算机科学 2022-09-22 Sergiu Hart , Noam Nisan

A multi-product monopolist faces a buyer who is privately informed about his valuations for the goods. As is well-known, optimal mechanisms are in general complicated, while simple mechanisms -- such as pure bundling or separate sales --…

理论经济学 · 经济学 2025-09-03 Mira Frick , Ryota Iijima , Yuhta Ishii

Robust mechanism design is a rising alternative to Bayesian mechanism design, which yields designs that do not rely on assumptions like full distributional knowledge. We apply this approach to mechanisms for selling a single item, assuming…

计算机科学与博弈论 · 计算机科学 2022-05-24 Nir Bachrach , Inbal Talgam-Cohen

We study the problem of multi-dimensional revenue maximization when selling $m$ items to a buyer that has additive valuations for them, drawn from a (possibly correlated) prior distribution. Unlike traditional Bayesian auction design, we…

计算机科学与博弈论 · 计算机科学 2022-04-29 Yiannis Giannakopoulos , Diogo Poças , Alexandros Tsigonias-Dimitriadis

In multi-item screening, optimal selling mechanisms are challenging to characterize and implement, even with full knowledge of valuation distributions. In this paper, we aim to develop tractable, interpretable, and implementable mechanisms…

理论经济学 · 经济学 2025-10-20 Shixin Wang

We study a robust selling problem where a seller attempts to sell one item to a buyer but is uncertain about the buyer's valuation distribution. Existing literature shows that robust screening provides a stronger theoretical guarantee than…

理论经济学 · 经济学 2024-09-27 Shixin Wang

We study revenue maximization by deterministic mechanisms for the simplest case for which Myerson's characterization does not hold: a single seller selling two items, with independently distributed values, to a single additive buyer. We…

计算机科学与博弈论 · 计算机科学 2018-04-20 Moshe Babaioff , Noam Nisan , Aviad Rubinstein

We study robust mechanisms to sell a common-value good. We assume that the mechanism designer knows the prior distribution of the buyers' common value but is unsure of the buyers' information structure about the common value. We use linear…

计算机科学与博弈论 · 计算机科学 2016-11-22 Songzi Du

Problem definition: Traditional monopoly pricing assumes sellers have full information about consumer valuations. We consider monopoly pricing under limited information, where a seller only knows the mean, variance and support of the…

最优化与控制 · 数学 2026-03-30 Tim S. G. van Eck , Pieter Kleer , Johan S. H. van Leeuwaarden

Multi-item mechanisms can be very complex offering many different bundles to the buyer that could even be randomized. Such complexity is thought to be necessary as the revenue gaps between randomized and deterministic mechanisms, or…

计算机科学与博弈论 · 计算机科学 2019-07-03 Shuchi Chawla , Yifeng Teng , Christos Tzamos

We consider a monopolist seller with $n$ heterogeneous items, facing a single buyer. The buyer has a value for each item drawn independently according to (non-identical) distributions, and her value for a set of items is additive. The…

计算机科学与博弈论 · 计算机科学 2020-08-03 Moshe Babaioff , Nicole Immorlica , Brendan Lucier , S. Matthew Weinberg

The robust multi-product pricing problem is to determine the prices of a collection of products so as to maximize the worst-case revenue, where the worst case is taken over an uncertainty set of demand models that the firm expects could be…

最优化与控制 · 数学 2025-02-17 Xinyi Guan , Velibor V. Mišić

We study the revenue maximization problem of a seller with n heterogeneous items for sale to a single buyer whose valuation function for sets of items is unknown and drawn from some distribution D. We show that if D is a distribution over…

计算机科学与博弈论 · 计算机科学 2018-07-05 Aviad Rubinstein , S. Matthew Weinberg

A monopolist sells multiple goods to an uninformed buyer. The buyer chooses to learn any one-dimensional linear signal of their values for the goods, anticipating the seller's mechanism. The seller designs an optimal mechanism, anticipating…

理论经济学 · 经济学 2025-09-23 Agathe Pernoud , Frank Yang
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