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In mechanism design, it is challenging to design the optimal auction with correlated values in general settings. Although value distribution can be further exploited to improve revenue, the complex correlation structure makes it hard to…

Computer Science and Game Theory · Computer Science 2023-02-21 Da Huo , Zhilin Zhang , Zhenzhe Zheng , Chuan Yu , Jian Xu , Fan Wu

A single unit of a good is sold to one of two bidders. Each bidder has either a high prior valuation or a low prior valuation for the good. Their prior valuations are independently and identically distributed. Each bidder may observe an…

Theoretical Economics · Economics 2022-05-10 Wanchang Zhang

We study independent private values auction environments in which the auctioneer's revenue depends nonlinearly on bidders' interim winning probabilities. Our framework accommodates heterogeneity among bidders and places no ad hoc…

Theoretical Economics · Economics 2026-02-23 Pasha Andreyanov , Ilia Krasikov , Alex Suzdaltsev

This survey outlines a general and modular theory for proving approximation guarantees for equilibria of auctions in complex settings. This theory complements traditional economic techniques, which generally focus on exact and optimal…

Computer Science and Game Theory · Computer Science 2016-07-27 Tim Roughgarden , Vasilis Syrgkanis , Eva Tardos

This paper examines knapsack auctions as a method to solve the knapsack problem with incomplete information, where object values are private and sizes are public. We analyze three auction types-uniform price (UP), discriminatory price (DP),…

Computer Science and Game Theory · Computer Science 2024-05-02 Peyman Khezr , Vijay Mohan , Lionel Page

The rise of automated bidding strategies in online advertising presents new challenges in designing and analyzing efficient auction mechanisms. In this paper, we focus on proportional mechanisms within the context of auto-bidding and study…

Computer Science and Game Theory · Computer Science 2026-04-27 Nguyen Kim Thang

In a single-parameter mechanism design problem, a provider is looking to sell a service to a group of potential buyers. Each buyer $i$ has a private value $v_i$ for receiving the service and a feasibility constraint restricts which sets of…

Computer Science and Game Theory · Computer Science 2022-02-21 Michal Feldman , Vasilis Gkatzelis , Nick Gravin , Daniel Schoepflin

A common practice in many auctions is to offer bidders an opportunity to improve their bids, known as a Best and Final Offer (BAFO) stage. This final bid can depend on new information provided about either the asset or the competitors. This…

Computer Science and Game Theory · Computer Science 2021-04-21 Galit Ashkenazi-Golan , Yevgeny Tsodikovich , Yannick Viossat

Search auctions have become a dominant source of revenue generation on the Internet. Such auctions have typically used per-click bidding and pricing. We propose the use of hybrid auctions where an advertiser can make a per-impression as…

Computer Science and Game Theory · Computer Science 2009-01-26 Ashish Goel , Kamesh Munagala

Automated bidding, an emerging intelligent decision making paradigm powered by machine learning, has become popular in online advertising. Advertisers in automated bidding evaluate the cumulative utilities and have private financial…

Computer Science and Game Theory · Computer Science 2023-08-22 Yidan Xing , Zhilin Zhang , Zhenzhe Zheng , Chuan Yu , Jian Xu , Fan Wu , Guihai Chen

Online advertising platforms are thriving due to the customizable audiences they offer advertisers. However, recent studies show that advertisements can be discriminatory with respect to the gender or race of the audience that sees the ad,…

Computer Science and Game Theory · Computer Science 2019-05-23 L. Elisa Celis , Anay Mehrotra , Nisheeth K. Vishnoi

We provide a Polynomial Time Approximation Scheme (PTAS) for the Bayesian optimal multi-item multi-bidder auction problem under two conditions. First, bidders are independent, have additive valuations and are from the same population.…

Computer Science and Game Theory · Computer Science 2012-11-06 Yang Cai , Zhiyi Huang

We propose a uniform approach for the design and analysis of prior-free competitive auctions and online auctions. Our philosophy is to view the benchmark function as a variable parameter of the model and study a broad class of functions…

Computer Science and Game Theory · Computer Science 2014-11-11 Ning Chen , Nick Gravin , Pinyan Lu

As commerce shifts to digital marketplaces, platforms increasingly monetize traffic through Sponsored Shopping auctions. Unlike classic ``Sponsored Search", where an advertiser typically bids for a single link, these settings involve…

Computer Science and Game Theory · Computer Science 2026-02-27 Paul Dütting , Yuhao Li , Renato Paes Leme , Kelly Spendlove , Yifeng Teng

We consider a dynamic mechanism design problem where an auctioneer sells an indivisible good to groups of buyers in every round, for a total of $T$ rounds. The auctioneer aims to maximize their discounted overall revenue while adhering to a…

Computer Science and Game Theory · Computer Science 2024-10-04 Alireza Fallah , Michael I. Jordan , Annie Ulichney

We design fair sponsored search auctions that achieve a near-optimal tradeoff between fairness and quality. Our work builds upon the model and auction design of Chawla and Jagadeesan \cite{CJ22}, who considered the special case of a single…

Computer Science and Game Theory · Computer Science 2022-04-11 Shuchi Chawla , Rojin Rezvan , Nathaniel Sauerberg

We study an auction setting in which bidders bid for placement of their content within a summary generated by a large language model (LLM), e.g., an ad auction in which the display is a summary paragraph of multiple ads. This generalizes…

Computer Science and Game Theory · Computer Science 2024-04-15 Kumar Avinava Dubey , Zhe Feng , Rahul Kidambi , Aranyak Mehta , Di Wang

Designing an incentive compatible auction that maximizes expected revenue is a central problem in Auction Design. While theoretical approaches to the problem have hit some limits, a recent research direction initiated by Duetting et al.…

Computer Science and Game Theory · Computer Science 2021-10-26 Jad Rahme , Samy Jelassi , S. Matthew Weinberg

We are interested in the problem of optimal commitments in rank-and-bid based auctions, a general class of auctions that include first price and all-pay auctions as special cases. Our main contribution is a novel approach to solve for…

Computer Science and Game Theory · Computer Science 2015-02-27 Zihe Wang , Pingzhong Tang

A central problem in Microeconomics is to design auctions with good revenue properties. In this setting, the bidders' valuations for the items are private knowledge, but they are drawn from publicly known prior distributions. The goal is to…

Computer Science and Game Theory · Computer Science 2013-01-11 Sayan Bhattacharya , Janardhan Kulkarni , Xiaoming Xu
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