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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…

Theoretical Economics · Economics 2021-05-27 Rahul Deb , Anne-Katrin Roesler

A seller is selling a pair of divisible complementary goods to an agent. The agent consumes the goods only in a specific ratio and freely disposes of excess in either goods. The value of the bundle and the ratio are private information of…

Theoretical Economics · Economics 2022-07-15 Komal Malik , Kolagani Paramahamsa

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…

Computer Science and Game Theory · Computer Science 2022-09-22 Sergiu Hart , Noam Nisan

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…

Computer Science and Game Theory · Computer Science 2015-10-14 Yiannis Giannakopoulos

We study the mechanism design problem of selling $k$ items to unit-demand buyers with private valuations for the items. A buyer either participates directly in the auction or is represented by an intermediary, who represents a subset of…

Computer Science and Game Theory · Computer Science 2021-11-23 Gagan Aggarwal , Kshipra Bhawalkar , Guru Guruganesh , Andres Perlroth

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 --…

Theoretical Economics · Economics 2025-09-03 Mira Frick , Ryota Iijima , Yuhta Ishii

We study the problem of designing revenue-maximizing mechanisms for a selfish mediator who facilitates trade between a buyer and a seller. We consider a setting where the mediator does not have information advantage and the buyer's…

Computer Science and Game Theory · Computer Science 2026-03-10 Zhikang Fan , Weiran Shen , Shaojie Tang , Yao Wang

A monopolistic seller aims to sell an indivisible item to multiple potential buyers. Each buyer's valuation depends on their private type and the item's quality. The seller can observe the quality but it is unknown to buyers. This quality…

Computer Science and Game Theory · Computer Science 2024-11-13 Zhikang Fan , Weiran Shen

Motivated by online retail, we consider the problem of selling one item (e.g., an ad slot) to two non-excludable buyers (say, a merchant and a brand). This problem captures, for example, situations where a merchant and a brand cooperatively…

Computer Science and Game Theory · Computer Science 2025-05-26 Gagan Aggarwal , Ashwinkumar Badanidiyuru , Paul Dütting , Federico Fusco

We provide sufficient conditions for revenue maximization in a two-good monopoly where the buyer's values for the items come from independent (but not necessarily identical) distributions over bounded intervals. Under certain distributional…

Computer Science and Game Theory · Computer Science 2015-11-24 Yiannis Giannakopoulos , Elias Koutsoupias

We analyze a nonlinear pricing model where the seller controls both product pricing (screening) and buyer information about their own values (persuasion). We prove that the optimal mechanism always consists of finitely many signals and…

Theoretical Economics · Economics 2025-03-11 Dirk Bergemann , Tibor Heumann , Stephen Morris

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…

Theoretical Economics · Economics 2020-08-27 Alex Suzdaltsev

We consider a generalization of the third degree price discrimination problem studied in Bergemann et al. (2015), where an intermediary between the buyer and the seller can design market segments to maximize any linear combination of…

Computer Science and Game Theory · Computer Science 2019-12-13 Rachel Cummings , Nikhil R. Devanur , Zhiyi Huang , Xiangning Wang

Modern ad auctions allow advertisers to target more specific segments of the user population. Unfortunately, this is not always in the best interest of the ad platform. In this paper, we examine the following basic question in the context…

Computer Science and Game Theory · Computer Science 2019-07-16 Ashwinkumar Badanidiyuru , Kshipra Bhawalkar , Haifeng Xu

Internet advertisers (buyers) repeatedly procure ad impressions from ad platforms (sellers) with the aim to maximize total conversion (i.e. ad value) while respecting both budget and return-on-investment (ROI) constraints for efficient…

Computer Science and Game Theory · Computer Science 2023-02-08 Negin Golrezaei , Patrick Jaillet , Jason Cheuk Nam Liang , Vahab Mirrokni

Displaying banner advertisements (in short, ads) on webpages has usually been discussed as an Internet economics topic where a publisher uses auction models to sell an online user's page view to advertisers and the one with the highest bid…

Computer Science and Game Theory · Computer Science 2017-08-02 Xiang Chen , Bowei Chen , Mohan Kankanhalli

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…

Theoretical Economics · Economics 2025-10-20 Shixin Wang

We examine trade-offs among stakeholders in ad auctions. Our metrics are the revenue for the utility of the auctioneer, the number of clicks for the utility of the users and the welfare for the utility of the advertisers. We show how to…

Computer Science and Game Theory · Computer Science 2014-04-22 Yoram Bachrach , Sofia Ceppi , Ian A. Kash , Peter Key , David Kurokawa

We consider the optimal pricing problem for a model of the rich media advertisement market, as well as other related applications. In this market, there are multiple buyers (advertisers), and items (slots) that are arranged in a line such…

Computer Science and Game Theory · Computer Science 2013-08-07 Xiaotie Deng , Paul Goldberg , Yang Sun , Bo Tang , Jinshan Zhang

We study the power of price discrimination via an intermediary in bilateral trade, when there is a revenue-maximizing seller selling an item to a buyer with a private value drawn from a prior. Between the seller and the buyer, there is an…

Computer Science and Game Theory · Computer Science 2023-04-28 Shao-Heng Ko , Kamesh Munagala
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