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We study the problem of learning revenue-optimal multi-bidder auctions from samples when the samples of bidders' valuations can be adversarially corrupted or drawn from distributions that are adversarially perturbed. First, we prove tight…

计算机科学与博弈论 · 计算机科学 2021-07-14 Wenshuo Guo , Michael I. Jordan , Manolis Zampetakis

A monopolistic seller aims to sell an indivisible item to multiple potential buyers. Each buyer's valuation depends on their private type and the item's quality. The seller can observe the quality but it is unknown to buyers. This quality…

计算机科学与博弈论 · 计算机科学 2024-11-13 Zhikang Fan , Weiran Shen

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…

计算机科学与博弈论 · 计算机科学 2009-04-17 Patrick Briest , Shuchi Chawla , Robert Kleinberg , S. Matthew Weinberg

We investigate the power of randomness in the context of a fundamental Bayesian optimal mechanism design problem--a single seller aims to maximize expected revenue by allocating multiple kinds of resources to "unit-demand" agents with…

计算机科学与博弈论 · 计算机科学 2010-02-24 Shuchi Chawla , David Malec , Balasubramanian Sivan

We consider the fundamental problem of designing a truthful single-item auction with the challenging objective of extracting a large fraction of the highest agent valuation as revenue. Following a recent trend in algorithm design, we assume…

计算机科学与博弈论 · 计算机科学 2024-01-25 Ioannis Caragiannis , Georgios Kalantzis

A seller sells an object over time but is uncertain how the buyer learns their willingness-to-pay. We consider informational robustness under \textit{limited commitment}, where the seller offers a price \textit{each period} to maximize…

理论经济学 · 经济学 2025-09-10 Zihao Li , Jonathan Libgober , Xiaosheng Mu

In this paper, we introduce a Bayesian revenue-maximizing mechanism design model where the items have fixed, exogenously-given prices. Buyers are unit-demand and have an ordinal ranking over purchasing either one of these items at its given…

计算机科学与博弈论 · 计算机科学 2020-10-16 Will Ma

Myerson's seminal characterization of the revenue-optimal auction for a single item \cite{myerson1981optimal} remains a cornerstone of mechanism design. However, generalizing this framework to multi-item settings has proven exceptionally…

计算机科学与博弈论 · 计算机科学 2025-10-08 Marios Mertzanidis , Athina Terzoglou

We provide a new, much simplified and straightforward proof to a result of Pavlov [2011] regarding the revenue maximizing mechanism for selling two goods with uniformly i.i.d. valuations over intervals $[c,c+1]$, to an additive buyer. This…

计算机科学与博弈论 · 计算机科学 2015-10-14 Yiannis Giannakopoulos

In this paper we consider multidimensional mechanism design problem for selling discrete substitutable items to a group of buyers. Previous work on this problem mostly focus on stochastic description of valuations used by the seller.…

计算机科学与博弈论 · 计算机科学 2017-01-05 Maciej Drwal

A single unit of a good is sold to one of two bidders. Each bidder has either a high prior valuation or a low prior valuation for the good. Their prior valuations are independently and identically distributed. Each bidder may observe an…

理论经济学 · 经济学 2022-05-10 Wanchang Zhang

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.…

理论经济学 · 经济学 2020-08-10 Alex Suzdaltsev

Maximizing the revenue from selling two or more goods has been shown to require the use of $nonmonotonic$ mechanisms, where a higher-valuation buyer may pay less than a lower-valuation one. Here we show that the restriction to $monotonic$…

计算机科学与博弈论 · 计算机科学 2024-06-13 Ran Ben-Moshe , Sergiu Hart , Noam Nisan

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

Robust and distributionally robust optimization are modeling paradigms for decision-making under uncertainty where the uncertain parameters are only known to reside in an uncertainty set or are governed by any probability distribution from…

最优化与控制 · 数学 2023-07-21 Jianzhe Zhen , Daniel Kuhn , Wolfram Wiesemann

We consider the problem of maximizing revenue when selling k items to a single buyer with known valuation distributions. We show that for a single, additive buyer whose valuations for for the items are distributed according to i.i.d.…

计算机科学与博弈论 · 计算机科学 2016-11-30 Ron Kupfer

This work studies equilibrium problems under uncertainty where firms maximize their profits in a robust way when selling their output. Robust optimization plays an increasingly important role when best guaranteed objective values are to be…

最优化与控制 · 数学 2022-02-24 Christian Biefel , Frauke Liers , Jan Rolfes , Lars Schewe , Gregor Zöttl

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'…

计算机科学与博弈论 · 计算机科学 2015-07-30 Hu Fu , Nicole Immolica , Brendan Lucier , Philipp Strack

In practice, auction data are often endogenously censored and anonymous, revealing only limited outcome statistics rather than full bid profiles. We study robust auction design when the seller observes only aggregated, anonymous order…

理论经济学 · 经济学 2026-02-26 Zhihao Gavin Tang , Shixin Wang

We study multi-product monopoly pricing where the seller jointly designs the selling mechanism and the information structure for the buyer to learn his values. Unlike the case with exogenous information, we show that when the seller…

计算机科学与博弈论 · 计算机科学 2025-10-29 Yang Cai , Yingkai Li , Jinzhao Wu