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Related papers: Learning Reserve Prices in Second-Price Auctions

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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

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

In mechanism design, it is challenging to design the optimal auction with correlated values in general settings. Although value distribution can be further exploited to improve revenue, the complex correlation structure makes it hard to…

Computer Science and Game Theory · Computer Science 2023-02-21 Da Huo , Zhilin Zhang , Zhenzhe Zheng , Chuan Yu , Jian Xu , Fan Wu

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

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

We study the problem of PAC learning $\gamma$-margin halfspaces with Random Classification Noise. We establish an information-computation tradeoff suggesting an inherent gap between the sample complexity of the problem and the sample…

Machine Learning · Computer Science 2023-06-29 Ilias Diakonikolas , Jelena Diakonikolas , Daniel M. Kane , Puqian Wang , Nikos Zarifis

Motivated by pricing in ad exchange markets, we consider the problem of robust learning of reserve prices against strategic buyers in repeated contextual second-price auctions. Buyers' valuations for an item depend on the context that…

Machine Learning · Computer Science 2020-02-27 Negin Golrezaei , Adel Javanmard , Vahab Mirrokni

In this paper we consider the problem of learning an $\epsilon$-optimal policy for a discounted Markov Decision Process (MDP). Given an MDP with $S$ states, $A$ actions, the discount factor $\gamma \in (0,1)$, and an approximation threshold…

Machine Learning · Computer Science 2020-12-25 Zihan Zhang , Yuan Zhou , Xiangyang Ji

We consider the sample complexity of learning with adversarial robustness. Most prior theoretical results for this problem have considered a setting where different classes in the data are close together or overlapping. Motivated by some…

Machine Learning · Computer Science 2023-01-19 Robi Bhattacharjee , Somesh Jha , Kamalika Chaudhuri

We study learning optimal policies from a logged dataset, i.e., offline RL, with function approximation. Despite the efforts devoted, existing algorithms with theoretic finite-sample guarantees typically assume exploratory data coverage or…

Machine Learning · Computer Science 2023-05-25 Chenjie Mao

We provide sample complexity upper bounds for agnostically learning multivariate Gaussians under the constraint of approximate differential privacy. These are the first finite sample upper bounds for general Gaussians which do not impose…

Machine Learning · Statistics 2020-10-21 Ishaq Aden-Ali , Hassan Ashtiani , Gautam Kamath

Many algorithms that are originally designed without explicitly considering incentive properties are later combined with simple pricing rules and used as mechanisms. The resulting mechanisms are often natural and simple to understand. But…

Computer Science and Game Theory · Computer Science 2015-12-01 Paul Dütting , Thomas Kesselheim , Éva Tardos

Consider a seller with m heterogeneous items for sale to a single additive buyer whose values for the items are arbitrarily correlated. It was previously shown that, in such settings, distributions exist for which the seller's optimal…

Computer Science and Game Theory · Computer Science 2018-12-03 Christos-Alexandros Psomas , Ariel Schvartzman , S. Matthew Weinberg

We study the efficiency of simple combinatorial auctions for the allocation of a set of items to a set of agents, with private subadditive valuation functions and budget constraints. The class we consider includes all auctions that allocate…

Computer Science and Game Theory · Computer Science 2020-07-29 Alexandros A. Voudouris

We study the liquid welfare in sequential first-price auctions with budget-limited buyers. We focus on first-price auctions, which are increasingly commonly used in many settings, and consider liquid welfare, a natural and well-studied…

Computer Science and Game Theory · Computer Science 2024-05-15 Giannis Fikioris , Éva Tardos

We study the sample complexity of learning threshold functions under the constraint of differential privacy. It is assumed that each labeled example in the training data is the information of one individual and we would like to come up with…

Data Structures and Algorithms · Computer Science 2019-11-25 Haim Kaplan , Katrina Ligett , Yishay Mansour , Moni Naor , Uri Stemmer

We study the design of prior-independent auctions in a setting with heterogeneous bidders. In particular, we consider the setting of selling to $n$ bidders whose values are drawn from $n$ independent but not necessarily identical…

Computer Science and Game Theory · Computer Science 2023-11-08 Guru Guruganesh , Aranyak Mehta , Di Wang , Kangning Wang

Randomized mechanisms, which map a set of bids to a probability distribution over outcomes rather than a single outcome, are an important but ill-understood area of computational mechanism design. We investigate the role of randomized…

Computer Science and Game Theory · Computer Science 2009-04-17 Patrick Briest , Shuchi Chawla , Robert Kleinberg , S. Matthew Weinberg

We present a deep learning solution to address the challenges of simulating realistic synthetic first-price sealed-bid auction data. The complexities encountered in this type of auction data include high-cardinality discrete feature spaces…

General Economics · Economics 2024-11-13 Igor Sadoune , Andrea Lodi , Marcelin Joanis

We study the sample complexity of learning revenue-optimal multi-item auctions. We obtain the first set of positive results that go beyond the standard but unrealistic setting of item-independence. In particular, we consider settings where…

Computer Science and Game Theory · Computer Science 2020-06-02 Johaness Brustle , Yang Cai , Constantinos Daskalakis