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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

We study discrete two player all-pay auction with complete information. We provide full characterization of mixed strategy Nash equilibria and show that they constitute a subset of Nash equilibria of discrete General Lotto game. We show…

Computer Science and Game Theory · Computer Science 2023-05-09 Marcin Dziubiński , Krzysztof Jahn

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

We study a class of manipulations in combinatorial auctions where bidders fundamentally misrepresent what goods they are interested in. Prior work has largely assumed that bidders only submit bids on their bundles of interest, which we call…

Computer Science and Game Theory · Computer Science 2021-09-13 Vitor Bosshard , Sven Seuken

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

The recent online platforms propose multiple items for bidding. The state of the art, however, is limited to the analysis of one item auction without resubmission. In this paper we study multi-item lowest unique bid auctions (LUBA) with…

Computer Science and Game Theory · Computer Science 2017-03-01 Yida Xu , Hamidou Tembine

In this paper, we investigate the computation of second-price pacing equilibria (SPPEs), a foundational model in online advertising auctions. We present a polynomial-time algorithm for computing exact SPPEs in instances with a constant…

Computer Science and Game Theory · Computer Science 2026-05-12 Yiyang Huang , Yonglei Yan , Zihe Wang , Zhengyang Liu

One method to offer some bidders a discount in a first-price auction is to augment their bids when selecting a winner but only charge them their original bids should they win. Another method is to use their original bids to select a winner,…

Computer Science and Game Theory · Computer Science 2024-03-12 Miguel Alcobendas , Eric Bax

We study correlated equilibria and coarse equilibria of simple first-price single-item auctions in the simplest auction model of full information. Nash equilibria are known to always yield full efficiency and a revenue that is at least the…

Computer Science and Game Theory · Computer Science 2017-01-09 Michal Feldman , Brendan Lucier , Noam Nisan

The Generalized Second Price auction is the primary method by which sponsered search advertisements are sold. We study the performance of this auction under various equilibrium concepts. In particular, we demonstrate that the Bayesian Price…

Computer Science and Game Theory · Computer Science 2010-11-16 Brendan Lucier , Renato Paes Leme

Classical Bayesian mechanism design relies on the common prior assumption, but such prior is often not available in practice. We study the design of prior-independent mechanisms that relax this assumption: the seller is selling an…

Theoretical Economics · Economics 2024-12-12 Jerry Anunrojwong , Santiago R. Balseiro , Omar Besbes

A double auction game with an infinite number of buyers and sellers is introduced. All sellers posses one unit of a good, all buyers desire to buy one unit. Each seller and each buyer has a private valuation of the good. The distribution of…

Computer Science and Game Theory · Computer Science 2012-10-23 Matthijs Ruijgrok

A seller chooses a reserve price in a second-price auction to maximize worst-case expected revenue when she knows only the mean of value distribution and an upper bound on either values themselves or variance. Values are private and iid.…

Theoretical Economics · Economics 2020-08-10 Alex Suzdaltsev

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

We consider a periodic double auction (PDA) setting where buyers of the auction have multiple (but finite) opportunities to procure multiple but fixed units of a commodity. The goal of each buyer participating in such auctions is to reduce…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Bharat Manvi , Easwar Subramanian

We provide an exact analytical solution of the Nash equilibrium for $k$- price auctions. We also introduce a new type of auction and demonstrate that it has fair solutions other than the second price auctions, therefore paving the way for…

Mathematical Finance · Quantitative Finance 2019-03-06 Martin Mihelich , Yan Shu

We introduce a class of Bayesian bidding games for which we prove that the set of pure Nash equilibria is a (non-empty) sublattice and we give a sufficient condition for uniqueness that is often verified in the context of markets with…

Computer Science and Game Theory · Computer Science 2023-10-06 Benjamin Heymann , Alejandro Jofré

Given a sample of bids from independent auctions, this paper examines the question of inference on auction fundamentals (e.g. valuation distributions, welfare measures) under weak assumptions on information structure. The question is…

Econometrics · Economics 2018-03-20 Vasilis Syrgkanis , Elie Tamer , Juba Ziani

In revenue maximization of selling a digital product in a social network, the utility of an agent is often considered to have two parts: a private valuation, and linearly additive influences from other agents. We study the incomplete…

Computer Science and Game Theory · Computer Science 2011-09-27 Wei Chen , Pinyan Lu , Xiaorui Sun , Bo Tang , Yajun Wang , Zeyuan Allen Zhu

We resolve the complexity of revenue-optimal deterministic auctions in the unit-demand single-buyer Bayesian setting, i.e., the optimal item pricing problem, when the buyer's values for the items are independent. We show that the problem of…

Computer Science and Game Theory · Computer Science 2017-02-24 Xi Chen , Ilias Diakonikolas , Dimitris Paparas , Xiaorui Sun , Mihalis Yannakakis