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This paper presents the first polynomial-time algorithm for position and matroid auction environments that learns, from samples from an unknown bounded valuation distribution, an auction with expected revenue arbitrarily close to the…

计算机科学与博弈论 · 计算机科学 2015-11-24 Tim Roughgarden , Okke Schrijvers

This work addresses the problem of estimating the parameters of the general half-normal distribution. Namely, the problem of determining the minimum risk equi\-va\-riant (MRE) estimators of the parameters is explored. Simulation studies are…

统计方法学 · 统计学 2021-10-28 A. G. Nogales , P. Pérez , P. Monfort

Myerson's regularity condition of a distribution is a standard assumption in economics. In this paper, we study the complexity of describing a regular distribution within a small statistical distance. Our main result is that…

计算机科学与博弈论 · 计算机科学 2023-05-10 Renato Paes Leme , Balasubramanian Sivan , Yifeng Teng , Pratik Worah

We introduce several new estimation methods that leverage shape constraints in auction models to estimate various objects of interest, including the distribution of a bidder's valuations, the bidder's ex ante expected surplus, and the…

计量经济学 · 经济学 2019-12-17 Joris Pinkse , Karl Schurter

Classical multi-armed bandit problems use the expected value of an arm as a metric to evaluate its goodness. However, the expected value is a risk-neutral metric. In many applications like finance, one is interested in balancing the…

机器学习 · 计算机科学 2019-06-04 Anmol Kagrecha , Jayakrishnan Nair , Krishna Jagannathan

We consider a monopoly seller who optimally auctions a single object to a single potential buyer, with a known distribution of valuations. We show that a tight lower bound on the seller's expected revenue is $1/e$ times the geometric…

计算机科学与博弈论 · 计算机科学 2015-06-02 Omer Tamuz

The celebrated Myerson--Satterthwaite theorem shows that in bilateral trade, no mechanism can be simultaneously fully efficient, Bayesian incentive compatible (BIC), and budget balanced (BB). This naturally raises the question of how…

机器学习 · 计算机科学 2026-03-10 Yang Cai , Vineet Gupta , Zun Li , Aranyak Mehta

We study information design in click-through auctions, in which the bidders/advertisers bid for winning an opportunity to show their ads but only pay for realized clicks. The payment may or may not happen, and its probability is called the…

计算机科学与博弈论 · 计算机科学 2024-04-23 Junjie Chen , Minming Li , Haifeng Xu , Song Zuo

In the multi-unit pricing problem, multiple units of a single item are for sale. A buyer's valuation for $n$ units of the item is $v \min \{ n, d\} $, where the per unit valuation $v$ and the capacity $d$ are private information of the…

计算机科学与博弈论 · 计算机科学 2017-04-18 Nikhil R. Devanur , Nima Haghpanah , Christos-Alexandros Psomas

We provide a reduction from revenue maximization to welfare maximization in multi-dimensional Bayesian auctions with arbitrary (possibly combinatorial) feasibility constraints and independent bidders with arbitrary (possibly combinatorial)…

计算机科学与博弈论 · 计算机科学 2012-07-25 Yang Cai , Constantinos Daskalakis , S. Matthew Weinberg

We propose a new all-pay auction format in which risk-loving bidders pay a constant fee each time they bid for an object whose monetary value is common knowledge among the bidders, and bidding fees are the only source of benefit for the…

计算机科学与博弈论 · 计算机科学 2016-03-03 Ali Kakhbod

We consider a fundamental problem in microeconomics: selling a single item to a number of potential buyers, whose values are drawn from known independent and regular (not necessarily identical) distributions. There are four widely-used and…

计算机科学与博弈论 · 计算机科学 2020-01-23 Yaonan Jin , Pinyan Lu , Zhihao Gavin Tang , Tao Xiao

Online auctions are one of the most fundamental facets of the modern economy and power an industry generating hundreds of billions of dollars a year in revenue. Auction theory has historically focused on the question of designing the best…

计算机科学与博弈论 · 计算机科学 2021-09-23 Thomas Nedelec , Clément Calauzènes , Noureddine El Karoui , Vianney Perchet

Sequential auctions for identical items with unit-demand, private-value buyers are common and often occur periodically without end, as new bidders replace departing ones. We model bidder uncertainty by introducing a probability that a…

计算机科学与博弈论 · 计算机科学 2025-10-13 Amir Ban

We study prior-independent pricing for selling a single item to a single buyer when the seller observes only a single sample from the valuation distribution, while the buyer knows the distribution. Classical robust pricing approaches either…

计算机科学与博弈论 · 计算机科学 2026-02-23 Zhihao Gavin Tang , Yixin Tao , Shixin Wang

We consider the problem of a single seller repeatedly selling a single item to a single buyer (specifically, the buyer has a value drawn fresh from known distribution $D$ in every round). Prior work assumes that the buyer is fully rational…

计算机科学与博弈论 · 计算机科学 2017-11-28 Mark Braverman , Jieming Mao , Jon Schneider , S. Matthew Weinberg

Value at Risk (VaR) and Conditional Value at Risk (CVaR) have become the most popular measures of market risk in Financial and Insurance fields. However, the estimation of both risk measures is challenging, because it requires the knowledge…

统计方法学 · 统计学 2024-10-17 Jacinto Martín , M. Isabel Parra , Eva L. Sanjuán , Mario M. Pizarro

This paper shows how to identify and estimate the seller's risk parameter in an ascending auction. We consider a semiparametric model where the seller has a parametric utility function (such as CARA or CRRA) and the distribution of bidder…

计量经济学 · 经济学 2026-02-10 Nathalie Gimenes , Tonghui Qi , Sorawoot Srisuma

Generalization error bounds are essential for comprehending how well machine learning models work. In this work, we suggest a novel method, i.e., the Auxiliary Distribution Method, that leads to new upper bounds on expected generalization…

机器学习 · 计算机科学 2024-04-18 Gholamali Aminian , Saeed Masiha , Laura Toni , Miguel R. D. Rodrigues

Classical optimal auction theory assumes that bids reach the seller directly. We study how this picture changes when a revenue-maximizing intermediary controls access to the seller's auction. Motivated by blockchain auctions, online…

计算机科学与博弈论 · 计算机科学 2026-05-22 Jingyi Liu , Aviad Rubinstein , Ertem Nusret Tas , S. Matthew Weinberg , Qianfan Zhang