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We consider a robust version of the revenue maximization problem, where a single seller wishes to sell $n$ items to a single unit-demand buyer. In this robust version, the seller knows the buyer's marginal value distribution for each item…

计算机科学与博弈论 · 计算机科学 2020-08-27 Moshe Babaioff , Michal Feldman , Yannai A. Gonczarowski , Brendan Lucier , Inbal Talgam-Cohen

Along with substantial progress made recently in designing near-optimal mechanisms for multi-item auctions, interesting structural questions have also been raised and studied. In particular, is it true that the seller can always extract…

计算机科学与博弈论 · 计算机科学 2017-09-12 Andrew Chi-Chih Yao

Posted price mechanisms are prevalent in allocating goods within online marketplaces due to their simplicity and practical efficiency. We explore a fundamental scenario where buyers' valuations are independent and identically distributed,…

计算机科学与博弈论 · 计算机科学 2025-05-26 José Correa , Vasilis Livanos , Dana Pizarro , Victor Verdugo

We investigate the properties of the Hybrid Monte-Carlo algorithm (HMC) in high dimensions. HMC develops a Markov chain reversible w.r.t. a given target distribution $\Pi$ by using separable Hamiltonian dynamics with potential $-\log\Pi$.…

This paper considers prior-independent mechanism design, in which a single mechanism is designed to achieve approximately optimal performance on every prior distribution from a given class. Most results in this literature focus on…

计算机科学与博弈论 · 计算机科学 2021-03-01 Yiding Feng , Jason D. Hartline , Yingkai Li

Auction theory traditionally assumes that bidders' valuation distributions are known to the auctioneer, such as in the celebrated, revenue-optimal Myerson auction. However, this theory does not describe how the auctioneer comes to possess…

计算机科学与博弈论 · 计算机科学 2014-07-11 Avrim Blum , Yishay Mansour , Jamie Morgenstern

After decades of research in Direction of Arrival (DoA) estimation, today Maximum Likelihood (ML) algorithms still provide the best performance in terms of resolution capabilities. At the cost of a multidimensional search, ML algorithms…

信号处理 · 电气工程与系统科学 2023-07-19 Xavier Mestre , Pascal Vallet

In many natural settings agents participate in multiple different auctions that are not simultaneous. In such auctions, future opportunities affect strategic considerations of the players. The goal of this paper is to develop a quantitative…

计算机科学与博弈论 · 计算机科学 2012-06-22 Vasilis Syrgkanis , Eva Tardos

A special case of Myerson's classic result describes the revenue-optimal equilibrium when a seller offers a single item to a buyer. We study a repeated sales extension of this model: a seller offers to sell a single fresh copy of an item to…

计算机科学与博弈论 · 计算机科学 2019-03-12 Nikhil R. Devanur , Yuval Peres , Balasubramanian Sivan

We study multi-item profit maximization when there is an underlying distribution over buyers' values. In practice, a full description of the distribution is typically unavailable, so we study the setting where the mechanism designer only…

机器学习 · 计算机科学 2023-05-09 Maria-Florina Balcan , Tuomas Sandholm , Ellen Vitercik

The Empirical Revenue Maximization (ERM) is one of the most important price learning algorithms in auction design: as the literature shows it can learn approximately optimal reserve prices for revenue-maximizing auctioneers in both repeated…

计算机科学与博弈论 · 计算机科学 2020-10-13 Xiaotie Deng , Ron Lavi , Tao Lin , Qi Qi , Wenwei Wang , Xiang Yan

We study the problem of learning exponential distributions under differential privacy. Given $n$ i.i.d.\ samples from $\mathrm{Exp}(\lambda)$, the goal is to privately estimate $\lambda$ so that the learned distribution is close in total…

数据结构与算法 · 计算机科学 2026-03-31 Bar Mahpud , Or Sheffet

First-price auctions have recently gained significant traction in digital advertising markets, exemplified by Google's transition from second-price to first-price auctions. Unlike in second-price auctions, where bidding one's private…

机器学习 · 计算机科学 2025-10-07 Zihao Hu , Xiaoyu Fan , Yuan Yao , Jiheng Zhang , Zhengyuan Zhou

We study the bilateral trade problem where a seller owns a single indivisible item, and a potential buyer seeks to purchase it. Previous mechanisms for this problem only considered the case where the values of the buyer and the seller are…

计算机科学与博弈论 · 计算机科学 2024-04-17 Shahar Dobzinski , Ariel Shaulker

We study revenue optimization learning algorithms for posted-price auctions with strategic buyers. We analyze a very broad family of monotone regret minimization algorithms for this problem, which includes the previously best known…

机器学习 · 计算机科学 2014-11-25 Mehryar Mohri , Andres Muñoz Medina

Employing probabilistic techniques we compute best possible upper and lower bounds on the price of an option on one or two assets with continuous piecewise linear payoff function based on prices of simple call options of possibly distinct…

概率论 · 数学 2008-12-02 Dimitris Bertsimas , Natasha Bushueva

A seller wants to sell a good to a set of bidders using a credible mechanism. We show that when the seller has private information about her cost, it is impossible for a static mechanism to achieve the optimal revenue. In particular, even…

理论经济学 · 经济学 2025-09-29 Martino Banchio , Andrzej Skrzypacz , Frank Yang

We present a polynomial-time algorithm that, given samples from the unknown valuation distribution of each bidder, learns an auction that approximately maximizes the auctioneer's revenue in a variety of single-parameter auction environments…

计算机科学与博弈论 · 计算机科学 2017-04-11 Yannai A. Gonczarowski , Noam Nisan

We study a single-buyer pricing problem with unreliable side information, motivated by the increasing use of AI-assisted decision-making and LLM-based predictions. The seller observes a private sample that may be either accurate (coinciding…

计算机科学与博弈论 · 计算机科学 2026-04-06 Zhihao Gavin Tang , Yixin Tao , Shixin Wang

We construct prior-free auctions with constant-factor approximation guarantees with ordered bidders, in both unlimited and limited supply settings. We compare the expected revenue of our auctions on a bid vector to the monotone price…

计算机科学与博弈论 · 计算机科学 2012-12-13 Elias Koutsoupias , Stefano Leonardi , Tim Roughgarden