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Proceedings ArticleDOI

AdWords and generalized on-line matching

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TLDR
The notion of a tradeoff revealing LP is introduced and used to derive two optimal algorithms achieving competitive ratios of 1-1/e for this problem of online bipartite matching.
Abstract
How does a search engine company decide what ads to display with each query so as to maximize its revenue? This turns out to be a generalization of the online bipartite matching problem. We introduce the notion of a tradeoff revealing LP and use it to derive two optimal algorithms achieving competitive ratios of 1-1/e for this problem.

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Mining of Massive Datasets

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Journal ArticleDOI

Internet Advertising and the Generalized Second-Price Auction: Selling Billions of Dollars Worth of Keywords

TL;DR: In this article, the authors investigate the generalized second-price (GSP) auction, a new mechanism used by search engines to sell online advertising, and show that it has a unique equilibrium, with the same payoffs to all players as the dominant strategy equilibrium of VCG.
Journal ArticleDOI

AdWords and generalized online matching

TL;DR: The notion of a tradeoff revealing LP is introduced and used to derive two optimal algorithms achieving competitive ratios of 1-1/e for this problem of online bipartite matching.
Book ChapterDOI

Online primal-dual algorithms for maximizing ad-auctions revenue

TL;DR: A (1 - 1/e)-competitive (optimal) algorithm is designed for the online ad-auctions problem, which is based on a clean primal-dual approach, matching the competitive factor obtained in Mehta et al.
References
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Proceedings ArticleDOI

Probabilistic computations: Toward a unified measure of complexity

TL;DR: Two approaches to the study of expected running time of algoritruns lead naturally to two different definitions of intrinsic complexity of a problem, which are the distributional complexity and the randomized complexity, respectively.
Proceedings ArticleDOI

An optimal algorithm for on-line bipartite matching

TL;DR: This work applies the general approach to data structures, bin packing, graph coloring, and graph coloring to bipartite matching and shows that a simple randomized on-line algorithm achieves the best possible performance.
Journal ArticleDOI

Multi-Item Auctions

TL;DR: In this paper, a collection of items is to be distributed among several bidders, and each bidder is to receive at most one item, and it has been shown that there is a unique vector of equilibrium prices that is optimal, in a suitable sense, for the bidderers.
Posted Content

Multi-Item Auctions

TL;DR: In this paper, a collection of items is to be distributed among several bidders, and each bidder is to receive at most one item, and it has been shown that there is a unique vector of equilibrium prices that is optimal, in a suitable sense, for the bidderers.
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