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Related papers: On Optimal Multi-Dimensional Mechanism Design

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In the Bidder Selection Problem (BSP) there is a large pool of $n$ potential advertisers competing for ad slots on the user's web page. Due to strict computational restrictions, the advertising platform can run a proper auction only for a…

Computer Science and Game Theory · Computer Science 2024-04-30 Nickolai Gravin , Yixuan Even Xu , Renfei Zhou

We study risk-free bidding strategies in combinatorial auctions with incomplete information. Specifically, what is the maximum profit that a complement-free (subadditive) bidder can guarantee in a multi-item combinatorial auction? Suppose…

Computer Science and Game Theory · Computer Science 2021-11-30 Vishnu V. Narayan , Gautam Rayaprolu , Adrian Vetta

We provide a constructive proof of Border's theorem [Bor91, HR15a] and its generalization to reduced-form auctions with asymmetric bidders [Bor07, MV10, CKM13]. Given a reduced form, we identify a subset of Border constraints that are…

Computer Science and Game Theory · Computer Science 2017-11-21 Yang Cai , Constantinos Daskalakis , S. Matthew Weinberg

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

We study revenue optimization pricing algorithms for repeated posted-price auctions where a seller interacts with a single strategic buyer that holds a fixed private valuation. We show that, in the case when both the seller and the buyer…

Computer Science and Game Theory · Computer Science 2018-05-08 Arsenii Vanunts , Alexey Drutsa

It was recently shown in [http://arxiv.org/abs/1207.5518] that revenue optimization can be computationally efficiently reduced to welfare optimization in all multi-dimensional Bayesian auction problems with arbitrary (possibly…

Computer Science and Game Theory · Computer Science 2013-05-20 Yang Cai , Constantinos Daskalakis , S. Matthew Weinberg

We consider a robust version of the revenue maximization problem, where a single seller wishes to sell $n$ items to a single unit-demand buyer. In this robust version, the seller knows the buyer's marginal value distribution for each item…

Computer Science and Game Theory · Computer Science 2020-08-27 Moshe Babaioff , Michal Feldman , Yannai A. Gonczarowski , Brendan Lucier , Inbal Talgam-Cohen

An unconstrained nonlinear binary optimization problem of selecting a maximum expected value subset of items is considered. Each item is associated with a profit and probability. Each of the items succeeds or fails independently with the…

Computational Complexity · Computer Science 2017-06-23 Noam Goldberg , Gabor Rudolf

We revisit the problem of designing the profit-maximizing single-item auction, solved by Myerson in his seminal paper for the case in which bidder valuations are independently distributed. We focus on general joint distributions, seeking…

Computer Science and Game Theory · Computer Science 2012-05-15 Christos Papadimitriou , George Pierrakos

We study the optimal mechanism design problem faced by a market intermediary who makes revenue by connecting buyers and sellers. We first show that the optimal intermediation protocol has substantial structure: it is the solution to an…

Computer Science and Game Theory · Computer Science 2012-10-12 Kamal Jain , Christopher A. Wilkens

We investigate the power of randomness in the context of a fundamental Bayesian optimal mechanism design problem--a single seller aims to maximize expected revenue by allocating multiple kinds of resources to "unit-demand" agents with…

Computer Science and Game Theory · Computer Science 2010-02-24 Shuchi Chawla , David Malec , Balasubramanian Sivan

For Bayesian combinatorial auctions, we present a general framework for approximately reducing the mechanism design problem for multiple buyers to single buyer sub-problems. Our framework can be applied to any setting which roughly…

Computer Science and Game Theory · Computer Science 2012-06-18 Saeed Alaei

Simultaneous item auctions are simple procedures for allocating items to bidders with potentially complex preferences over different item sets. In a simultaneous auction, every bidder submits bids on all items simultaneously. The allocation…

Computer Science and Game Theory · Computer Science 2012-09-24 Michal Feldman , Hu Fu , Nick Gravin , Brendan Lucier

This study introduces an optimal mechanism in a dynamic stochastic knapsack environment. The model features a single seller who has a fixed quantity of a perfectly divisible item. Impatient buyers with a piece-wise linear utility function…

Computer Science and Game Theory · Computer Science 2024-02-23 Jihyeok Jung , Chan-Oi Song , Deok-Joo Lee , Kiho Yoon

We study a mechanism design problem where a seller aims to allocate a good to multiple bidders, each with a private value. The seller supports or favors a specific group, referred to as the minority group. Specifically, the seller requires…

Theoretical Economics · Economics 2025-02-13 Ruiqin Wang , Cagil Kocyigit , Napat Rujeerapaiboon

This paper considers prior-independent mechanism design, namely identifying a single mechanism that has near optimal performance on every prior distribution. We show that mechanisms with truthtelling equilibria, a.k.a., revelation…

Computer Science and Game Theory · Computer Science 2018-08-01 Yiding Feng , Jason D. Hartline

Myerson's seminal characterization of the revenue-optimal auction for a single item \cite{myerson1981optimal} remains a cornerstone of mechanism design. However, generalizing this framework to multi-item settings has proven exceptionally…

Computer Science and Game Theory · Computer Science 2025-10-08 Marios Mertzanidis , Athina Terzoglou

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

Generating good revenue is one of the most important problems in Bayesian auction design, and many (approximately) optimal dominant-strategy incentive compatible (DSIC) Bayesian mechanisms have been constructed for various auction settings.…

Computer Science and Game Theory · Computer Science 2020-08-07 Jing Chen , Bo Li , Yingkai Li , Pinyan Lu

We provide a characterization of revenue-optimal dynamic mechanisms in settings where a monopolist sells k items over k periods to a buyer who realizes his value for item i in the beginning of period i. We require that the mechanism…

Computer Science and Game Theory · Computer Science 2016-07-06 Itai Ashlagi , Constantinos Daskalakis , Nima Haghpanah