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We study the problem of finding personalized reserve prices for unit-demand buyers in multi-unit eager VCG auctions with correlated buyers. The input to this problem is a dataset of submitted bids of $n$ buyers in a set of auctions. The…

Computer Science and Game Theory · Computer Science 2020-07-27 Mahsa Derakhshan , David M. Pennock , Aleksandrs Slivkins

Most recent papers addressing the algorithmic problem of allocating advertisement space for keywords in sponsored search auctions assume that pricing is done via a first-price auction, which does not realistically model the Generalized…

Data Structures and Algorithms · Computer Science 2009-08-21 Yossi Azar , Benjamin Birnbaum , Anna R. Karlin , C. Thach Nguyen

We study the problem of learning a linear model to set the reserve price in an auction, given contextual information, in order to maximize expected revenue from the seller side. First, we show that it is not possible to solve this problem…

Optimization and Control · Mathematics 2020-11-17 Joey Huchette , Haihao Lu , Hossein Esfandiari , Vahab Mirrokni

We study revenue optimization learning algorithms for repeated second-price auctions with reserve where a seller interacts with multiple strategic bidders each of which holds a fixed private valuation for a good and seeks to maximize his…

Computer Science and Game Theory · Computer Science 2019-06-25 Alexey Drutsa

Recent work has addressed the algorithmic problem of allocating advertisement space for keywords in sponsored search auctions so as to maximize revenue, most of which assume that pricing is done via a first-price auction. This does not…

Data Structures and Algorithms · Computer Science 2008-09-12 Yossi Azar , Benjamin Birnbaum , Anna R. Karlin , C. Thach Nguyen

This paper proves the tight sample complexity of {\sf Second-Price Auction with Anonymous Reserve}, up to a logarithmic factor, for each of all the value distribution families studied in the literature: $[0,\, 1]$-bounded, $[1,\,…

Computer Science and Game Theory · Computer Science 2022-11-04 Yaonan Jin , Pinyan Lu , Tao Xiao

Second-price auctions with reserve play a critical role for modern search engine and popular online sites since the revenue of these companies often directly de- pends on the outcome of such auctions. The choice of the reserve price is the…

Machine Learning · Computer Science 2014-12-03 Mehryar Mohri , Andres Muñoz Medina

We study the Second Price Matching problem, introduced by Azar, Birnbaum, Karlin, and Nguyen in 2009. In this problem, a bipartite graph (bidders and goods) is given, and the profit of a matching is the number of matches containing a second…

Data Structures and Algorithms · Computer Science 2025-05-12 Rom Pinchasi , Neta Singer , Lukas Vogl , Jiaye Wei

For selling a single item to agents with independent but non-identically distributed values, the revenue optimal auction is complex. With respect to it, Hartline and Roughgarden (2009) showed that the approximation factor of the…

Computer Science and Game Theory · Computer Science 2016-11-17 Saeed Alaei , Jason Hartline , Rad Niazadeh , Emmanouil Pountourakis , Yang Yuan

We study the question of setting and testing reserve prices in single item auctions when the bidders are not identical. At a high level, there are two generalizations of the standard second price auction: in the lazy version we first…

Computer Science and Game Theory · Computer Science 2016-02-26 Renato Paes Leme , Martin Pal , Sergei Vassilvitskii

Many online companies sell advertisement space in second-price auctions with reserve. In this paper, we develop a probabilistic method to learn a profitable strategy to set the reserve price. We use historical auction data with features to…

Machine Learning · Statistics 2015-06-25 Maja R. Rudolph , Joseph G. Ellis , David M. Blei

We consider the Max-Buying Problem with Limited Supply, in which there are $n$ items, with $C_i$ copies of each item $i$, and $m$ bidders such that every bidder $b$ has valuation $v_{ib}$ for item $i$. The goal is to find a pricing $p$ and…

Computer Science and Game Theory · Computer Science 2013-10-01 Cristina G. Fernandes , Rafael C. S. Schouery

We consider the problem of learning optimal reserve price in repeated auctions against non-myopic bidders, who may bid strategically in order to gain in future rounds even if the single-round auctions are truthful. Previous algorithms,…

Computer Science and Game Theory · Computer Science 2018-05-01 Zhiyi Huang , Jinyan Liu , Xiangning Wang

We present an extensive analysis of the key problem of learning optimal reserve prices for generalized second price auctions. We describe two algorithms for this task: one based on density estimation, and a novel algorithm benefiting from…

Machine Learning · Computer Science 2015-06-10 Mehryar Mohri , Andres Munoz Medina

What fraction of the single item $n$ buyers setting's expected optimal revenue MyeRev can the second price auction with reserves achieve? In the special case where the buyers' valuation distributions are all drawn i.i.d. and the…

Computer Science and Game Theory · Computer Science 2019-06-28 Will Ma , Balasubramanian Sivan

We study the Maximum Budgeted Allocation problem, i.e., the problem of selling a set of $m$ indivisible goods to $n$ players, each with a separate budget, such that we maximize the collected revenue. Since the natural assignment LP is known…

Data Structures and Algorithms · Computer Science 2014-03-31 Christos Kalaitzis , Aleksander Mcadry , Alantha Newman , Lukáš Poláček , Ola Svensson

We consider the problem of a firm seeking to use personalized pricing to sell an exogenously given stock of a product over a finite selling horizon to different consumer types. We assume that the type of an arriving consumer can be observed…

Machine Learning · Computer Science 2021-10-08 Ningyuan Chen , Guillermo Gallego

In this paper, we present the first approximation algorithms for the problem of designing revenue optimal Bayesian incentive compatible auctions when there are multiple (heterogeneous) items and when bidders can have arbitrary demand and…

Computer Science and Game Theory · Computer Science 2010-03-30 Sayan Bhattacharya , Gagan Goel , Sreenivas Gollapudi , Kamesh Munagala

Designing revenue optimal auctions for selling an item to $n$ symmetric bidders is a fundamental problem in mechanism design. Myerson (1981) shows that the second price auction with an appropriate reserve price is optimal when bidders'…

Computer Science and Game Theory · Computer Science 2015-07-30 Hu Fu , Nicole Immolica , Brendan Lucier , Philipp Strack

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
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