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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

Auctions are modeled as Bayesian games with continuous type and action spaces. Determining equilibria in auction games is computationally hard in general and no exact solution theory is known. We introduce an algorithmic framework in which…

Computer Science and Game Theory · Computer Science 2023-05-10 Martin Bichler , Maximilian Fichtl , Matthias Oberlechner

Inspired by Internet ad auction applications, we study the problem of allocating a single item via an auction when bidders place very different values on the item. We formulate this as the problem of prior-free auction and focus on…

Computer Science and Game Theory · Computer Science 2009-09-30 Vahab Mirrokni , S. Muthukrishnan , Uri Nadav

Internet search companies sell advertisement slots based on users' search queries via an auction. While there has been a lot of attention on the auction process and its game-theoretic aspects, our focus is on the advertisers. In particular,…

Data Structures and Algorithms · Computer Science 2007-05-23 Jon Feldman , S. Muthukrishnan , Martin Pal , Cliff Stein

In e-commerce advertising, the ad platform usually relies on auction mechanisms to optimize different performance metrics, such as user experience, advertiser utility, and platform revenue. However, most of the state-of-the-art auction…

Computer Science and Game Theory · Computer Science 2021-01-11 Zhilin Zhang , Xiangyu Liu , Zhenzhe Zheng , Chenrui Zhang , Miao Xu , Junwei Pan , Chuan Yu , Fan Wu , Jian Xu , Kun Gai

In online advertising, search engines sell ad placements for keywords continuously through auctions. This problem can be seen as an infinitely repeated game since the auction is executed whenever a user performs a query with the keyword. As…

Computer Science and Game Theory · Computer Science 2022-01-25 Francesco Belardinelli , Wojtek Jamroga , Vadim Malvone , Munyque Mittelmann , Aniello Murano , Laurent Perrussel

Mature internet advertising platforms offer high-level campaign management tools to help advertisers run their campaigns, often abstracting away the intricacies of how each ad is placed and focusing on aggregate metrics of interest to…

Computer Science and Game Theory · Computer Science 2021-09-07 Vincent Conitzer , Christian Kroer , Debmalya Panigrahi , Okke Schrijvers , Eric Sodomka , Nicolas E. Stier-Moses , Chris Wilkens

The popular generalized second price (GSP) auction for sponsored search is built upon a separable model of click-through-rates that decomposes the likelihood of a click into the product of a "slot effect" and an "advertiser effect" --- if…

Computer Science and Game Theory · Computer Science 2014-10-14 Ruggiero Cavallo , Christopher A. Wilkens

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

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

A seller wants to sell an item to $n$ buyers. Buyer valuations are drawn i.i.d. from a distribution unknown to the seller; the seller only knows that the support is included in $[a, b]$. To be robust, the seller chooses a DSIC mechanism…

Theoretical Economics · Economics 2025-01-03 Jerry Anunrojwong , Santiago R. Balseiro , Omar Besbes

The internet advertising market is a multi-billion dollar industry, in which advertisers buy thousands of ad placements every day by repeatedly participating in auctions. An important and ubiquitous feature of these auctions is the presence…

Computer Science and Game Theory · Computer Science 2022-10-11 Santiago Balseiro , Christian Kroer , Rachitesh Kumar

Sponsored search adopts generalized second price (GSP) auction mechanism which works on the concept of pay per click which is most commonly used for the allocation of slots in the searched page. Two main aspects associated with GSP are the…

Information Retrieval · Computer Science 2014-03-26 Rahul Gupta , Gitansh Khirbat , Sanjay Singh

Since economic mechanisms are often applied to very different instances of the same problem, it is desirable to identify mechanisms that work well in a wide range of circumstances. We pursue this goal for a position auction setting and…

Computer Science and Game Theory · Computer Science 2013-07-22 Paul Duetting , Felix Fischer , David C. Parkes

This paper explores the integration of strategic optimization methods in search advertising, focusing on ad ranking and bidding mechanisms within E-commerce platforms. By employing a combination of reinforcement learning and evolutionary…

Machine Learning · Computer Science 2024-05-30 Chang Zhou , Yang Zhao , Jin Cao , Yi Shen , Xiaoling Cui , Chiyu Cheng

The auction theory literature has so far focused mostly on the design of mechanisms that takes the revenue or the efficiency as a yardstick. However, scenarios where the {\it capacity}, which we define as \textit{``the number of bidders the…

Computer Science and Game Theory · Computer Science 2007-11-13 Sudhir Kumar Singh , Vwani P. Roychowdhury

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

Real-Time Bidding is a new Internet advertising system that has become very popular in recent years. This system works like a global auction where advertisers bid to display their impressions in the publishers' ad slots. The most popular…

Computer Science and Game Theory · Computer Science 2020-10-26 Luis Miralles-Pechuán , Fernando Jiménez , José Manuel García

We study combinatorial auctions where each item is sold separately but simultaneously via a second price auction. We ask whether it is possible to efficiently compute in this game a pure Nash equilibrium with social welfare close to the…

Computer Science and Game Theory · Computer Science 2015-06-10 Shahar Dobzinski , Hu Fu , Robert Kleinberg

We propose an auction for online advertising where each ad occupies either one square or two horizontally-adjacent squares of a grid of squares. Our primary application are ads for products shown on retail websites such as Instacart or…

Computer Science and Game Theory · Computer Science 2022-07-12 Jonathan Gu , David Pal , Kevin Ryan