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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…

计算机科学与博弈论 · 计算机科学 2022-04-12 Yang Cai , Argyris Oikonomou , Mingfei Zhao

We provide a Polynomial Time Approximation Scheme (PTAS) for the Bayesian optimal multi-item multi-bidder auction problem under two conditions. First, bidders are independent, have additive valuations and are from the same population.…

计算机科学与博弈论 · 计算机科学 2012-11-06 Yang Cai , Zhiyi Huang

We study a seller who sells a single good to multiple bidders with uncertainty over the joint distribution of bidders' valuations, as well as bidders' higher-order beliefs about their opponents. The seller only knows the (possibly…

理论经济学 · 经济学 2022-02-16 Ethan Che

In lowest unique bid auctions, $N$ players bid for an item. The winner is whoever places the \emph{lowest} bid, provided that it is also unique. We use a grand canonical approach to derive an analytical expression for the equilibrium…

计算机科学与博弈论 · 计算机科学 2015-05-28 Simone Pigolotti , Sebastian Bernhardsson , Jeppe Juul , Gorm Galster , Pierpaolo Vivo

We examine the complexity of computing welfare- and revenue-maximizing equilibria in autobidding second-price auctions subject to return-on-spend (RoS) constraints. We show that computing an autobidding equilibrium that approximates the…

计算机科学与博弈论 · 计算机科学 2026-02-11 Ioannis Anagnostides , Ian Gemp , Georgios Piliouras , Kelly Spendlove

We consider the problem of allocating indivisible goods in a way that is fair, using one of the leading market mechanisms in economics: the competitive equilibrium from equal incomes. Focusing on two major classes of valuations, namely…

计算机科学与博弈论 · 计算机科学 2016-07-19 Simina Brânzei , Hadi Hosseini , Peter Bro Miltersen

First-price auctions have very recently swept the online advertising industry, replacing second-price auctions as the predominant auction mechanism on many platforms. This shift has brought forth important challenges for a bidder: how…

机器学习 · 计算机科学 2025-09-26 Yanjun Han , Zhengyuan Zhou , Aaron Flores , Erik Ordentlich , Tsachy Weissman

We study the problem of characterizing revenue optimal auctions for single-minded buyers. Each buyer is interested only in a specific bundle of items and has a value for the same. Both his bundle and its value are his private information.…

计算机科学与博弈论 · 计算机科学 2010-09-14 Vineet Abhishek , Bruce Hajek

Many popular search engines run an auction to determine the placement of advertisements next to search results. Current auctions at Google and Yahoo! let advertisers specify a single amount as their bid in the auction. This bid is…

计算机科学与博弈论 · 计算机科学 2007-05-23 Gagan Aggarwal , S. Muthukrishnan , Jon Feldman

We study sequential procurement auctions where the sellers are provided with a ``best and final offer'' (BAFO) strategy. This strategy allows each seller $i$ to effectively ``freeze'' their price while remaining active in the auction, and…

计算机科学与博弈论 · 计算机科学 2025-03-17 Vasilis Gkatzelis , Randolph Preston McAfee , Renato Paes Leme

The progressive second-price auction of Lazar and Semret is a decentralized mechanism for the allocation and real-time pricing of a divisible resource. Our focus is on how delays in the receipt of bid messages, asynchronous analysis by…

计算机科学与博弈论 · 计算机科学 2025-11-24 Jordana Blazek , Eric Olson , Fredrick C. Harris

We describe human-subject laboratory experiments on probabilistic auctions based on previously proposed auction protocols involving the simulated manipulation and communication of quantum states. These auctions are probabilistic in…

量子物理 · 物理学 2009-03-31 Kay-Yut Chen , Tad Hogg

We consider (i) the problem of finding a (possibly mixed) Nash equilibrium in congestion games, and (ii) the problem of finding an (exponential precision) fixed point of the gradient descent dynamics of a smooth function $f:[0,1]^n…

计算复杂性 · 计算机科学 2021-03-24 Yakov Babichenko , Aviad Rubinstein

We study the aggregate welfare and individual regret guarantees of dynamic \emph{pacing algorithms} in the context of repeated auctions with budgets. Such algorithms are commonly used as bidding agents in Internet advertising platforms,…

计算机科学与博弈论 · 计算机科学 2026-01-06 Jason Gaitonde , Yingkai Li , Bar Light , Brendan Lucier , Aleksandrs Slivkins

We consider the problem of a revenue-maximizing seller with m items for sale to n additive bidders with hard budget constraints, assuming that the seller has some prior distribution over bidder values and budgets. The prior may be…

计算机科学与博弈论 · 计算机科学 2016-05-09 Constantinos Daskalakis , Nikhil R. Devanur , S. Matthew Weinberg

We study the problem of computing optimal prices for a version of the Product-Mix auction with budget constraints. In contrast to the ``standard'' Product-Mix auction, the objective is to maximize revenue instead of social welfare. We prove…

计算机科学与博弈论 · 计算机科学 2022-08-05 Maximilian Fichtl

We study revenue maximization in multi-item auctions, where bidders have subadditive valuations over independent items. Providing a simple mechanism that is approximately revenue-optimal in this setting is a major open problem in mechanism…

计算机科学与博弈论 · 计算机科学 2023-10-13 Yang Cai , Ziyun Chen , Jinzhao Wu

All-pay auctions, a common mechanism for various human and agent interactions, suffers, like many other mechanisms, from the possibility of players' failure to participate in the auction. We model such failures, and fully characterize…

计算机科学与博弈论 · 计算机科学 2017-02-15 Yoad Lewenberg , Omer Lev , Yoram Bachrach , Jeffrey S. Rosenschein

We study the deterministic and randomized query complexity of finding approximate equilibria in bimatrix games. We show that the deterministic query complexity of finding an $\epsilon$-Nash equilibrium when $\epsilon < \frac{1}{2}$ is…

计算机科学与博弈论 · 计算机科学 2014-02-13 John Fearnley , Rahul Savani

In this paper, we study the problem of learning to bid in repeated first-price auctions with budget constraints. In each period, the decision maker needs to submit a bid to win the auction and maximize the total collected reward, subject to…

最优化与控制 · 数学 2026-03-10 Zeng Fu , Jiashuo Jiang , Yuan Zhou