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Core-selecting combinatorial auctions (CAs) restrict the auction result in the core such that no coalitions could improve their utilities by engaging in collusion. The minimum-revenue-core (MRC) rule is a widely used core-selecting payment…

计算机科学与博弈论 · 计算机科学 2023-12-12 Hao Cheng , Shufeng Kong , Yanchen Deng , Caihua Liu , Xiaohu Wu , Bo An , Chongjun Wang

We study the $\ell_0$-Low Rank Approximation Problem, where the goal is, given an $m \times n$ matrix $A$, to output a rank-$k$ matrix $A'$ for which $\|A'-A\|_0$ is minimized. Here, for a matrix $B$, $\|B\|_0$ denotes the number of its…

数据结构与算法 · 计算机科学 2018-10-02 Karl Bringmann , Pavel Kolev , David P. Woodruff

We study the design of iterative combinatorial auctions (ICAs). The main challenge in this domain is that the bundle space grows exponentially in the number of items. To address this, several papers have recently proposed machine learning…

计算机科学与博弈论 · 计算机科学 2024-03-29 Ermis Soumalias , Jakob Weissteiner , Jakob Heiss , Sven Seuken

A recent approach to automated mechanism design, differentiable economics, represents auctions by rich function approximators and optimizes their performance by gradient descent. The ideal auction architecture for differentiable economics…

计算机科学与博弈论 · 计算机科学 2022-02-08 Michael Curry , Tuomas Sandholm , John Dickerson

We investigate {\em multidimensional covering mechanism-design} problems, wherein there are $m$ items that need to be covered and $n$ agents who provide covering objects, with each agent $i$ having a private cost for the covering objects he…

计算机科学与博弈论 · 计算机科学 2013-09-11 Hadi Minooei , Chaitanya Swamy

We consider the "Offline Ad Slot Scheduling" problem, where advertisers must be scheduled to "sponsored search" slots during a given period of time. Advertisers specify a budget constraint, as well as a maximum cost per click, and may not…

计算机科学与博弈论 · 计算机科学 2008-01-21 Jon Feldman , S. Muthukrishnan , Evdokia Nikolova , Martin Pal

We develop a unified ascending-auction framework for computing Walrasian equilibria in combinatorial markets with strong substitutes valuations and piecewise-linear payment functions. Our auction extends the celebrated ascending auctions of…

计算机科学与博弈论 · 计算机科学 2026-04-14 Taihei Oki , Ryosuke Sato

We design algorithms for computing approximately revenue-maximizing {\em sequential posted-pricing mechanisms (SPM)} in $K$-unit auctions, in a standard Bayesian model. A seller has $K$ copies of an item to sell, and there are $n$ buyers,…

计算机科学与博弈论 · 计算机科学 2010-08-11 Tanmoy Chakraborty , Eyal Even-Dar , Sudipto Guha , Yishay Mansour , S. Muthukrishnan

In most of microeconomic theory, consumers are assumed to exhibit decreasing marginal utilities. This paper considers combinatorial auctions among such submodular buyers. The valuations of such buyers are placed within a hierarchy of…

计算机科学与博弈论 · 计算机科学 2007-05-23 Benny Lehmann , Daniel Lehmann , Noam Nisan

We consider the problem of designing auctions which maximize consumer surplus (i.e., the social welfare minus the payments charged to the buyers). In the consumer surplus maximization problem, a seller with a set of goods faces a set of…

计算机科学与博弈论 · 计算机科学 2025-03-18 Tomer Ezra , Daniel Schoepflin , Ariel Shaulker

We consider online procurement auctions, where the agents arrive sequentially, in random order, and have private costs for their services. The buyer aims to maximize a monotone submodular value function for the subset of agents whose…

计算机科学与博弈论 · 计算机科学 2025-04-15 Andreas Charalampopoulos , Dimitris Fotakis , Panagiotis Patsilinakos , Thanos Tolias

We study the problem of selecting $k$ experiments from a larger candidate pool, where the goal is to maximize mutual information (MI) between the selected subset and the underlying parameters. Finding the exact solution is to this…

机器学习 · 统计学 2024-02-26 Fengyi Li , Ayoub Belhadji , Youssef Marzouk

We study the revenue guarantees and approximability of item pricing. Recent work shows that with $n$ heterogeneous items, item-pricing guarantees an $O(\log n)$ approximation to the optimal revenue achievable by any (buy-many) mechanism,…

计算机科学与博弈论 · 计算机科学 2021-11-08 Shuchi Chawla , Rojin Rezvan , Yifeng Teng , Christos Tzamos

We study the problem of truthfully scheduling $m$ tasks to $n$ selfish unrelated machines, under the objective of makespan minimization, as was introduced in the seminal work of Nisan and Ronen [STOC'99]. Closing the current gap of…

计算机科学与博弈论 · 计算机科学 2020-07-08 Yiannis Giannakopoulos , Alexander Hammerl , Diogo Poças

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

In the contextual pricing problem a seller repeatedly obtains products described by an adversarially chosen feature vector in $\mathbb{R}^d$ and only observes the purchasing decisions of a buyer with a fixed but unknown linear valuation…

数据结构与算法 · 计算机科学 2021-02-25 Allen Liu , Renato Paes Leme , Jon Schneider

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 provide the first analysis of (deferred acceptance) clock auctions in the learning-augmented framework. These auctions satisfy a unique list of appealing properties, including obvious strategyproofness, transparency, and unconditional…

计算机科学与博弈论 · 计算机科学 2024-11-06 Vasilis Gkatzelis , Daniel Schoepflin , Xizhi Tan

The optimization of expensive-to-evaluate black-box functions over combinatorial structures is an ubiquitous task in machine learning, engineering and the natural sciences. The combinatorial explosion of the search space and costly…

机器学习 · 统计学 2018-10-11 Ricardo Baptista , Matthias Poloczek

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.…

计算机科学与博弈论 · 计算机科学 2020-04-20 Yang Cai , Mingfei Zhao