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We exhibit incentive compatible multi-unit auctions that are not affine maximizers (i.e., are not of the VCG family) and yet approximate the social welfare to within a factor of $1+\epsilon$. For the case of two-item two-bidder auctions we…

Computer Science and Game Theory · Computer Science 2015-03-14 Shahar Dobzinski , Noam Nisan

We propose a new all-pay auction format in which risk-loving bidders pay a constant fee each time they bid for an object whose monetary value is common knowledge among the bidders, and bidding fees are the only source of benefit for the…

Computer Science and Game Theory · Computer Science 2016-03-03 Ali Kakhbod

We study the social efficiency of bilateral trade between a seller and a buyer. In the classical Bayesian setting, the celebrated Myerson-Satterthwaite impossibility theorem states that no Bayesian incentive-compatible, individually…

Computer Science and Game Theory · Computer Science 2025-02-19 Yuan Deng , Jieming Mao , Balasubramanian Sivan , Kangning Wang , Jinzhao Wu

Classic results show that even an arbitrarily small correlation across bidders' information can enable full surplus extraction in auctions and related mechanism design settings. Motivated by this fragility, we study the information…

Computer Science and Game Theory · Computer Science 2026-04-28 Boyu Liu , Wei Tang , Zihe Wang , Shuo Zhang

Submodularity is a discrete domain functional property that can be interpreted as mimicking the role of the well-known convexity/concavity properties in the continuous domain. Submodular functions exhibit strong structure that lead to…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Ehsan Tohidi , Rouhollah Amiri , Mario Coutino , David Gesbert , Geert Leus , Amin Karbasi

In Combinatorial Public Projects, there is a set of projects that may be undertaken, and a set of self-interested players with a stake in the set of projects chosen. A public planner must choose a subset of these projects, subject to a…

Computer Science and Game Theory · Computer Science 2011-04-19 Shaddin Dughmi

We consider the problem of maximizing a nonnegative (possibly non-monotone) submodular set function with or without constraints. Feige et al. [FOCS'07] showed a 2/5-approximation for the unconstrained problem and also proved that no…

Data Structures and Algorithms · Computer Science 2010-07-12 Shayan Oveis Gharan , Jan Vondrák

A line of recent work provides welfare guarantees of simple combinatorial auction formats, such as selling m items via simultaneous second price auctions (SiSPAs) (Christodoulou et al. 2008, Bhawalkar and Roughgarden 2011, Feldman et al.…

Computer Science and Game Theory · Computer Science 2016-04-07 Constantinos Daskalakis , Vasilis Syrgkanis

Sequential posted pricing auctions are popular because of their simplicity in practice and their tractability in theory. A usual assumption in their study is that the Bayesian prior distributions of the buyers are known to the seller, while…

Machine Learning · Computer Science 2024-06-14 Sahil Singla , Yifan Wang

We consider auction environments in which at the time of the auction bidders observe signals about their ex-post value. We introduce a model of novice bidders who do not know know the joint distribution of signals and instead build a…

Theoretical Economics · Economics 2021-07-02 Philippe Jehiel , Konrad Mierendorff

Let $S_{n}$ be a sum of independent identically distribution random variables with finite first moment and $h_{M}$ be a call function defined by $g_{M}(x)=\max\{x-M,0\}$ for $x\in\mathbb{R}$, $M>0$. In this paper, we assume the random…

Probability · Mathematics 2024-11-26 Peng Chen , Tianyi Qi , Ting Zhang

We study the limits of an information intermediary in the classical Bayesian auction, where a revenue-maximizing seller sells one item to $n$ buyers with independent private values. In addition, we have an intermediary who knows the buyers'…

Computer Science and Game Theory · Computer Science 2022-05-20 Reza Alijani , Siddhartha Banerjee , Kamesh Munagala , Kangning Wang

We study the communication complexity of welfare maximization in combinatorial auctions with $m$ items and two subadditive bidders. A $\frac{1}{2}$-approximation can be guaranteed by a trivial randomized protocol with zero communication, or…

Computer Science and Game Theory · Computer Science 2018-11-27 Tomer Ezra , Michal Feldman , Eric Neyman , Inbal Talgam-Cohen , S. Matthew Weinberg

We consider the bilateral trade problem, in which two agents trade a single indivisible item. It is known that the only dominant-strategy truthful mechanism is the fixed-price mechanism: given commonly known distributions of the buyer's…

Computer Science and Game Theory · Computer Science 2021-12-21 Zi Yang Kang , Francisco Pernice , Jan Vondrák

Induced order statistics (IOS) arise when sample units are reordered according to the value of an auxiliary variable, and the associated responses are analyzed in that induced order. IOS play a central role in applications where the goal is…

Econometrics · Economics 2026-03-10 Federico A. Bugni , Ivan A. Canay , Deborah Kim

We present a number of models for the adword auctions used for pricing advertising slots on search engines such as Google, Yahoo! etc. We begin with a general problem formulation which allows the privately known valuation per click to be a…

Computer Science and Game Theory · Computer Science 2007-05-23 Garud Iyengar , Anuj Kumar

We study revenue optimization learning algorithms for repeated second-price auctions with reserve where a seller interacts with multiple strategic bidders each of which holds a fixed private valuation for a good and seeks to maximize his…

Computer Science and Game Theory · Computer Science 2019-06-25 Alexey Drutsa

Maximizing monotone submodular functions under cardinality constraints is a classic optimization task with several applications in data mining and machine learning. In this paper we study this problem in a dynamic environment with…

Data Structures and Algorithms · Computer Science 2024-05-31 Paul Dütting , Federico Fusco , Silvio Lattanzi , Ashkan Norouzi-Fard , Morteza Zadimoghaddam

Obvious strategyproofness (OSP) is an appealing concept as it allows to maintain incentive compatibility even in the presence of agents that are not fully rational, e.g., those who struggle with contingent reasoning [Li, 2015]. However, it…

Computer Science and Game Theory · Computer Science 2017-02-21 Diodato Ferraioli , Carmine Ventre

We present a sample- and time-efficient differentially private algorithm for ordinary least squares, with error that depends linearly on the dimension and is independent of the condition number of $X^\top X$, where $X$ is the design matrix.…

Machine Learning · Computer Science 2024-04-25 Gavin Brown , Jonathan Hayase , Samuel Hopkins , Weihao Kong , Xiyang Liu , Sewoong Oh , Juan C. Perdomo , Adam Smith