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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

The Competition Complexity of an auction measures how much competition is needed for the revenue of a simple auction to surpass the optimal revenue. A classic result from auction theory by Bulow and Klemperer [9], states that the…

Computer Science and Game Theory · Computer Science 2017-10-31 Siqi Liu , Christos-Alexandros Psomas

We quantify the value of the monopoly's bargaining power in terms of competition complexity--that is, the number of additional bidders the monopoly must attract in simple auctions to match the expected revenue of the optimal mechanisms…

Computer Science and Game Theory · Computer Science 2025-06-12 Hedyeh Beyhaghi , Linda Cai , Yiding Feng , Yingkai Li , S. Matthew Weinberg

Learning to bid in repeated first-price auctions is a fundamental problem at the interface of game theory and machine learning, which has seen a recent surge in interest due to the transition of display advertising to first-price auctions.…

Computer Science and Game Theory · Computer Science 2024-07-09 Rachitesh Kumar , Jon Schneider , Balasubramanian Sivan

In a sponsored search auction the advertisement slots on a search result page are generally ordered by click-through rate. Bidders have a valuation, which is usually assumed to be linear in the click-through rate, a budget constraint, and…

Computer Science and Game Theory · Computer Science 2011-12-30 Riccardo Colini-Baldeschi , Monika Henzinger , Stefano Leonardi , Martin Starnberger

Interactions between bids to show ads online can lead to an advertiser's ad being shown to more men than women even when the advertiser does not target towards men. We design bidding strategies that advertisers can use to avoid such…

Computer Science and Game Theory · Computer Science 2019-09-06 Milad Nasr , Michael Tschantz

I construct a novel random double auction as a robust bilateral trading mechanism for a profit-maximizing intermediary who facilitates trade between a buyer and a seller. It works as follows. The intermediary publicly commits to charging a…

Theoretical Economics · Economics 2022-05-11 Wanchang Zhang

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

Motivated by practical concerns in the online advertising industry, we study a bidder subset selection problem in single-item auctions. In this problem, a large pool of candidate bidders have independent values sampled from known prior…

Computer Science and Game Theory · Computer Science 2022-11-22 Xiaohui Bei , Nick Gravin , Pinyan Lu , Zhihao Gavin Tang

In lowest unique bid auctions, $N$ players bid for an item. The winner is whoever places the \emph{lowest} bid, provided that it is also unique. We use a grand canonical approach to derive an analytical expression for the equilibrium…

Computer Science and Game Theory · Computer Science 2015-05-28 Simone Pigolotti , Sebastian Bernhardsson , Jeppe Juul , Gorm Galster , Pierpaolo Vivo

The difference set of an outcome in an auction is the set of types that the auction mechanism maps to the outcome. We give a complete characterization of the geometry of the difference sets that can appear for a dominant strategy incentive…

Computer Science and Game Theory · Computer Science 2022-11-04 Michael Joswig , Max Klimm , Sylvain Spitz

We present different versions of a conjecture which would express that first price mechanisms never work very badly in a very general class of problems. The definitions include most of the problems where there is a principal (seller) who…

Economics · Quantitative Finance 2015-09-01 Endre Csóka

While auction theory views bids and valuations as continuous variables, real-world auctions are necessarily discrete. In this paper, we use a combination of analytical and computational methods to investigate whether incorporating…

Theoretical Economics · Economics 2022-08-17 Itzhak Rasooly , Carlos Gavidia-Calderon

On ad exchange platforms the place for advertisement is sold through different kinds of auctions. However, it is not uncommon the situation where the seller repeatedly encounters only one buyer, thus the posted price auction degenerates…

Computer Science and Game Theory · Computer Science 2019-02-05 Nikita Kalinin

Auction theory traditionally assumes that bidders' valuation distributions are known to the auctioneer, such as in the celebrated, revenue-optimal Myerson auction. However, this theory does not describe how the auctioneer comes to possess…

Computer Science and Game Theory · Computer Science 2014-07-11 Avrim Blum , Yishay Mansour , Jamie Morgenstern

Auction theories are believed to provide a better selling opportunity for the resources to be allocated. Various organizations have taken measures to increase trust among participants towards their auction system, but trust alone cannot…

Theoretical Economics · Economics 2021-02-09 Ravin Kumar

A standard result from auction theory is that bidding truthfully in a second price auction is a weakly dominant strategy. The result, however, does not apply in the presence of Cost Per Action (CPA) constraints. Such constraints exist, for…

Computer Science and Game Theory · Computer Science 2019-05-13 Benjamin Heymann

We study equilibrium investment into bidding and latency reduction for different sequencing policies. For a batch auction design, we observe that bidders shade bids according to the likelihood that competing bidders land in the current…

Computer Science and Game Theory · Computer Science 2026-02-27 Christoph Schlegel

The literature on the Price of Anarchy (PoA) of simple auctions employs a no-overbidding assumption but has completely overlooked the no-underbidding phenomenon, which is evident in empirical studies on variants of the second price auction.…

Computer Science and Game Theory · Computer Science 2021-03-16 Michal Feldman , Galia Shabtai

We consider a game with two players, consisting of a number of rounds, where the first player to win $n$ rounds becomes the overall winner. Who wins each individual round is governed by a certain urn having two types of balls (type 1 and…

Probability · Mathematics 2026-03-05 Stanislav Volkov , Magnus Wiktorsson