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A seminal result of Bulow and Klemperer [1989] demonstrates the power of competition for extracting revenue: when selling a single item to $n$ bidders whose values are drawn i.i.d. from a regular distribution, the simple welfare-maximizing…

Computer Science and Game Theory · Computer Science 2016-12-30 Alon Eden , Michal Feldman , Ophir Friedler , Inbal Talgam-Cohen , S. Matthew Weinberg

Internet ad auctions have evolved from a few lines of text to richer informational layouts that include images, sitelinks, videos, etc. Ads in these new formats occupy varying amounts of space, and an advertiser can provide multiple…

Computer Science and Game Theory · Computer Science 2022-06-08 Gagan Aggarwal , Kshipra Bhawalkar , Aranyak Mehta , Divyarthi Mohan , Alexandros Psomas

In the standard single-dimensional model of position auctions, bidders agree on the relative values of the positions and each of them submits a single bid that is interpreted in terms of these values. Motivated by current practice in…

Computer Science and Game Theory · Computer Science 2018-06-22 Paul Dütting , Felix Fischer , David C. Parkes

This paper investigates reverse auctions that involve continuous values of different types of goods, general nonconvex constraints, and second stage costs. We seek to design the payment rules and conditions under which coalitions of…

Computer Science and Game Theory · Computer Science 2021-07-14 Orcun Karaca , Pier Giuseppe Sessa , Neil Walton , Maryam Kamgarpour

The focus of classic mechanism design has been on truthful direct-revelation mechanisms. In the context of combinatorial auctions the truthful direct-revelation mechanism that maximizes social welfare is the VCG mechanism. For many…

Computer Science and Game Theory · Computer Science 2013-10-14 Paul Duetting , Monika Henzinger , Martin Starnberger

Sponsored search auctions constitute one of the most successful applications of microeconomic mechanisms. In mechanism design, auctions are usually designed to incentivize advertisers to bid their truthful valuations and to assure both the…

Computer Science and Game Theory · Computer Science 2014-05-13 Nicola Gatti , Alessandro Lazaric , Marco Rocco , Francesco Trovò

We study optimal auction design in an independent private values environment where bidders can endogenously -- but at a cost -- improve information about their own valuations. The optimal mechanism is two-stage: at stage-1 bidders register…

Theoretical Economics · Economics 2025-12-09 Kemal Ozbek

Under the incentive-compatible Vickrey-Clarke-Groves mechanism, coalitions of participants can influence the auction outcome to obtain higher collective profit. These manipulations were proven to be eliminated if and only if the market…

Computer Science and Game Theory · Computer Science 2018-11-26 Orcun Karaca , Maryam Kamgarpour

A major achievement of mechanism design theory is a general method for the construction of truthful mechanisms called VCG (Vickrey, Clarke, Groves). When applying this method to complex problems such as combinatorial auctions, a difficulty…

Computer Science and Game Theory · Computer Science 2011-10-04 N. Nisan , A. Ronen

We consider a refinement to the notions of collusion-resistance in transaction fee mechanisms. In particular, we require that the collusion is by itself incentive-compatible and individually rational to all of its participants. We then…

Computer Science and Game Theory · Computer Science 2024-12-31 Matheus V. X. Ferreira , Yotam Gafni , Max Resnick

Combinatorial auctions (CA) are a well-studied area in algorithmic mechanism design. However, contrary to the standard model, empirical studies suggest that a bidder's valuation often does not depend solely on the goods assigned to him. For…

Computer Science and Game Theory · Computer Science 2015-10-01 Yun Kuen Cheung , Monika Henzinger , Martin Hoefer , Martin Starnberger

This paper studies equilibrium quality of semi-separable position auctions (known as the Ad Types setting) with greedy or optimal allocation combined with generalized second-price (GSP) or Vickrey-Clarke-Groves (VCG) pricing. We make three…

Computer Science and Game Theory · Computer Science 2021-03-11 Hadi Elzayn , Riccardo Colini-Baldeschi , Brian Lan , Okke Schrijvers

We set up a supply-side game-theoretic model for the cooperative production of virtual products. In our model, a group of producers collaboratively produce a virtual product by contributing costly input resources to a production coalition.…

Computer Science and Game Theory · Computer Science 2020-07-30 Mingshu Cong , Xi Weng , Han Yu , Jiabao Qu , Siu Ming Yiu

Standard ad auction formats do not immediately extend to settings where multiple size configurations and layouts are available to advertisers. In these settings, the sale of web advertising space increasingly resembles a combinatorial…

Computer Science and Game Theory · Computer Science 2020-11-10 Rad Niazadeh , Jason Hartline , Nicole Immorlica , Mohammad Reza Khani , Brendan Lucier

The classic result of Bulow and Klemperer (1996) shows that in multi-unit auctions with $m$ units and $n\geq m$ buyers whose values are sampled i.i.d. from a regular distribution, the revenue of the VCG auction with $m$ additional buyers is…

Computer Science and Game Theory · Computer Science 2026-02-13 Moshe Babaioff , Yiding Feng , Zihan Luo

We consider the question of whether collusion among bidders (a "bidding ring") can be supported in equilibrium of unrepeated first-price auctions. Unlike previous work on the topic such as that by McAfee and McMillan [1992] and Marshall and…

Computer Science and Game Theory · Computer Science 2016-08-31 Kevin Leyton-Brown , Moshe Tennenholtz , Navin Bhat , Yoav Shoham

In classic auction theory, reserve prices are known to be effective for improving revenue for the auctioneer against quasi-linear utility maximizing bidders. The introduction of reserve prices, however, usually do not help improve total…

Computer Science and Game Theory · Computer Science 2021-11-05 Santiago Balseiro , Yuan Deng , Jieming Mao , Vahab Mirrokni , Song Zuo

The existing literature on optimal auctions focuses on optimizing the expected revenue of the seller, and is appropriate for risk-neutral sellers. In this paper, we identify good mechanisms for risk-averse sellers. As is standard in the…

Computer Science and Game Theory · Computer Science 2010-04-02 Mukund Sundararajan , Qiqi Yan

Building on the linear programming approach to competitive equilibrium pricing, we develop a general method for constructing iterative auctions that achieve Vickrey-Clarke-Groves (VCG) outcomes. We show how to transform a linear program…

Computer Science and Game Theory · Computer Science 2025-07-08 Sébastien Lahaie , Benjamin Lubin

Digital advertising constitutes one of the main revenue sources for online platforms. In recent years, some advertisers tend to adopt auto-bidding tools to facilitate advertising performance optimization, making the classical \emph{utility…

Computer Science and Game Theory · Computer Science 2022-12-01 Hongtao Lv , Zhilin Zhang , Zhenzhe Zheng , Jinghan Liu , Chuan Yu , Lei Liu , Lizhen Cui , Fan Wu
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