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This paper presents uniform estimation and inference theory for a large class of nonparametric partitioning-based M-estimators. The main theoretical results include: (i) uniform consistency for convex and non-convex objective functions;…

统计理论 · 数学 2025-09-01 Matias D. Cattaneo , Yingjie Feng , Boris Shigida

Setting an effective reserve price for strategic bidders in repeated auctions is a central question in online advertising. In this paper, we investigate how to set an anonymous reserve price in repeated auctions based on historical bids in…

计算机科学与博弈论 · 计算机科学 2021-07-13 Zhe Feng , Sébastien Lahaie

Multi-unit auctions are a paradigmatic model, where a seller brings multiple units of a good, while several buyers bring monetary endowments. It is well known that Walrasian equilibria do not always exist in this model, however compelling…

计算机科学与博弈论 · 计算机科学 2017-10-10 Simina Brânzei , Aris Filos-Ratsikas , Peter Bro Miltersen , Yulong Zeng

We propose a uniform approach for the design and analysis of prior-free competitive auctions and online auctions. Our philosophy is to view the benchmark function as a variable parameter of the model and study a broad class of functions…

计算机科学与博弈论 · 计算机科学 2014-11-11 Ning Chen , Nick Gravin , Pinyan Lu

In uniform-price markets, suppliers compete to supply a resource to consumers, resulting in a single market price determined by their competition. For sufficient flexibility, producers and consumers prefer to commit to a function as their…

计算机科学与博弈论 · 计算机科学 2024-03-15 Abdullah Alawad , Muhammad Aneeq uz Zaman , Khaled Alshehri , Tamer Başar

We consider regression models with parametric (linear or nonlinear) regression function and allow responses to be ``missing at random.'' We assume that the errors have mean zero and are independent of the covariates. In order to estimate…

统计理论 · 数学 2009-08-24 Ursula U. Müller

We address the problem of improving bidders' strategies in prior-dependent revenue-maximizing auctions and introduce a simple and generic method to design novel bidding strategies if the seller uses past bids to optimize her mechanism. We…

计算机科学与博弈论 · 计算机科学 2021-09-15 Thomas Nedelec , Marc Abeille , Clément Calauzènes , Benjamin Heymann , Vianney Perchet , Noureddine El Karoui

We present an original theorem in auction theory: it specifies general conditions under which the sum of the payments of all bidders is necessarily not identically zero, and more generally not constant. Moreover, it explicitly supplies a…

数理金融 · 定量金融 2014-12-02 Marco B. Caminati , Manfred Kerber , Colin Rowat

In this paper, we consider a weighted local linear estimator based on the inverse selection probability for nonparametric regression with missing covariates at random. The asymptotic distribution of the maximal deviation between the…

统计方法学 · 统计学 2020-03-03 Li Cai , Lijie Gu , Qihua Wang , Suojin Wang

In this paper, we develop a new and effective approach to nonparametric quantile regression that accommodates ultrahigh-dimensional data arising from spatio-temporal processes. This approach proves advantageous in staving off computational…

统计方法学 · 统计学 2024-05-27 Soudeep Deb , Claudia Neves , Subhrajyoty Roy

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,…

计算机科学与博弈论 · 计算机科学 2018-05-01 Zhiyi Huang , Jinyan Liu , Xiangning Wang

Budget-feasible procurement has been a major paradigm in mechanism design since its introduction by Singer (2010). An auctioneer (buyer) with a strict budget constraint is interested in buying goods or services from a group of strategic…

计算机科学与博弈论 · 计算机科学 2025-05-30 Georgios Amanatidis , Sophie Klumper , Evangelos Markakis , Guido Schäfer , Artem Tsikiridis

This work proposes a bid shading strategy for first-price auctions as a measure-valued optimization problem. We consider a standard parametric form for bid shading and formulate the problem as convex optimization over the joint distribution…

机器学习 · 计算机科学 2025-09-16 Iman Nodozi , Djordje Gligorijevic , Abhishek Halder

We propose a framework for analyzing the sensitivity of counterfactuals to parametric assumptions about the distribution of latent variables in structural models. In particular, we derive bounds on counterfactuals as the distribution of…

计量经济学 · 经济学 2024-03-26 Timothy Christensen , Benjamin Connault

We initiate the study of how auction design affects the division of surplus among buyers. We propose a parsimonious measure for equity and apply it to the family of standard auctions for homogeneous goods. Our surplus-equitable mechanism is…

理论经济学 · 经济学 2024-11-14 Simon Finster , Patrick Loiseau , Simon Mauras , Mathieu Molina , Bary Pradelski

Nonparametric estimation of the conditional expectation $E(Y | U)$ of an outcome $Y$ given a covariate vector $U$ is of primary importance in many statistical applications such as prediction and personalized medicine. In some problems,…

统计方法学 · 统计学 2018-05-10 Bingying Xie , Jun Shao

This paper studies Vickrey first-price auctions under binary feedback. Leveraging the enhanced performance of machine learning algorithms, the new algorithm uses past information to improve the regret bounds of the BROAD-OMD algorithm.…

机器学习 · 计算机科学 2025-07-09 Jason Tandiary

Counterfactual inference aims to estimate the counterfactual outcome at the individual level given knowledge of an observed treatment and the factual outcome, with broad applications in fields such as epidemiology, econometrics, and…

机器学习 · 计算机科学 2025-10-06 Peng Wu , Haoxuan Li , Chunyuan Zheng , Yan Zeng , Jiawei Chen , Yang Liu , Ruocheng Guo , Kun Zhang

We consider the problem of computing a (pure) Bayes-Nash equilibrium in the first-price auction with continuous value distributions and discrete bidding space. We prove that when bidders have independent subjective prior beliefs about the…

计算机科学与博弈论 · 计算机科学 2023-03-06 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Alexandros Hollender , Philip Lazos , Diogo Poças

We study probabilistic single-item second-price auctions where the item is characterized by a set of attributes. The auctioneer knows the actual instantiation of all the attributes, but he may choose to reveal only a subset of these…

计算机科学与博弈论 · 计算机科学 2013-02-22 Mingyu Guo , Argyrios Deligkas