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We study the revenue maximization problem of a seller with n heterogeneous items for sale to a single buyer whose valuation function for sets of items is unknown and drawn from some distribution D. We show that if D is a distribution over…

Computer Science and Game Theory · Computer Science 2018-07-05 Aviad Rubinstein , S. Matthew Weinberg

We study the efficiency of sequential first-price item auctions at (subgame perfect) equilibrium. This auction format has recently attracted much attention, with previous work establishing positive results for unit-demand valuations and…

Computer Science and Game Theory · Computer Science 2013-09-11 Michal Feldman , Brendan Lucier , Vasilis Syrgkanis

Online auctions have expanded rapidly over the last decade and have become a fascinating new type of business or commercial transaction in this digital era. Here we introduce a master equation for the bidding process that takes place in…

Physics and Society · Physics 2009-11-11 I. Yang , B. Kahng

We obtain revenue guarantees for the simple pricing mechanism of a single posted price, in terms of a natural parameter of the distribution of buyers' valuations. Our revenue guarantee applies to the single item n buyers setting, with…

Computer Science and Game Theory · Computer Science 2015-06-02 Balasubramanian Sivan , Vasilis Syrgkanis , Omer Tamuz

We study independent private values auction environments in which the auctioneer's revenue depends nonlinearly on bidders' interim winning probabilities. Our framework accommodates heterogeneity among bidders and places no ad hoc…

Theoretical Economics · Economics 2026-02-23 Pasha Andreyanov , Ilia Krasikov , Alex Suzdaltsev

This paper studies some basic problems in a multiple-object auction model using methodologies from theoretical computer science. We are especially concerned with situations where an adversary bidder knows the bidding algorithms of all the…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Ming-Yang Kao , Junfeng Qi , Lei Tan

We study revenue optimization pricing algorithms for repeated posted-price auctions where a seller interacts with a single strategic buyer that holds a fixed private valuation. We show that, in the case when both the seller and the buyer…

Computer Science and Game Theory · Computer Science 2018-05-08 Arsenii Vanunts , Alexey Drutsa

We study revenue maximization in multi-item multi-bidder auctions under the natural item-independence assumption - a classical problem in Multi-Dimensional Bayesian Mechanism Design. One of the biggest challenges in this area is developing…

Computer Science and Game Theory · Computer Science 2022-04-12 Yang Cai , Argyris Oikonomou , Mingfei Zhao

One method to offer some bidders a discount in a first-price auction is to augment their bids when selecting a winner but only charge them their original bids should they win. Another method is to use their original bids to select a winner,…

Computer Science and Game Theory · Computer Science 2024-03-12 Miguel Alcobendas , Eric Bax

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…

Computer Science and Game Theory · Computer Science 2026-05-22 Jingyi Liu , Aviad Rubinstein , Ertem Nusret Tas , S. Matthew Weinberg , Qianfan Zhang

We study the revenue comparison problem of auctions when the seller has a maxmin expected utility preference. The seller holds a set of priors around some reference belief, interpreted as an approximating model of the true probability law…

Theoretical Economics · Economics 2022-11-24 Sosung Baik , Sung-Ha Hwang

We study the optimal auction design problem when bidders' preferences follow the maxmin expected utility model. We suppose that each bidder's set of priors consists of beliefs close to the seller's belief, where "closeness" is defined by a…

Theoretical Economics · Economics 2021-10-19 Sosung Baik , Sung-Ha Hwang

A seller with one unit of a good faces N\geq3 buyers and a single competitor who sells one other identical unit in a second-price auction with a reserve price. Buyers who do not get the seller's good will compete in the competitor's…

Theoretical Economics · Economics 2021-10-26 Kenneth Hendricks , Thomas Wiseman

A large fraction of online advertisement is sold via repeated second price auctions. In these auctions, the reserve price is the main tool for the auctioneer to boost revenues. In this work, we investigate the following question: Can…

Computer Science and Game Theory · Computer Science 2020-02-19 Yash Kanoria , Hamid Nazerzadeh

We study a classical Bayesian mechanism design problem where a seller is selling multiple items to multiple buyers. We consider the case where the seller has costs to produce the items, and these costs are private information to the seller.…

Computer Science and Game Theory · Computer Science 2020-04-20 Yang Cai , Mingfei Zhao

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…

Computer Science and Game Theory · Computer Science 2021-07-14 Wenshuo Guo , Michael I. Jordan , Manolis Zampetakis

We consider a revenue-maximizing seller with $m$ heterogeneous items and a single buyer whose valuation $v$ for the items may exhibit both substitutes (i.e., for some $S, T$, $v(S \cup T) < v(S) + v(T)$) and complements (i.e., for some $S,…

Computer Science and Game Theory · Computer Science 2017-04-11 Alon Eden , Michal Feldman , Ophir Friedler , Inbal Talgam-Cohen , S. Matthew Weinberg

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'…

Computer Science and Game Theory · Computer Science 2015-07-30 Hu Fu , Nicole Immolica , Brendan Lucier , Philipp Strack

We provide simple and approximately revenue-optimal mechanisms in the multi-item multi-bidder settings. We unify and improve all previous results, as well as generalize the results to broader cases. In particular, we prove that the better…

Computer Science and Game Theory · Computer Science 2019-08-27 Yang Cai , Mingfei Zhao

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…

Computer Science and Game Theory · Computer Science 2025-10-13 Amir Ban