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We consider the sample complexity of revenue maximization for multiple bidders in unrestricted multi-dimensional settings. Specifically, we study the standard model of $n$ additive bidders whose values for $m$ heterogeneous items are drawn…

Computer Science and Game Theory · Computer Science 2021-04-13 Yannai A. Gonczarowski , S. Matthew Weinberg

Online advertising platforms are thriving due to the customizable audiences they offer advertisers. However, recent studies show that advertisements can be discriminatory with respect to the gender or race of the audience that sees the ad,…

Computer Science and Game Theory · Computer Science 2019-05-23 L. Elisa Celis , Anay Mehrotra , Nisheeth K. Vishnoi

We give an auction for downward-closed environments that generalizes the random sampling profit extraction auction for digital goods of Fiat et al. (2002). The mechanism divides the agents in to a market and a sample using a biased coin and…

Computer Science and Game Theory · Computer Science 2012-06-22 Bach Q. Ha , Jason D. Hartline

We study the problem of finding the index of the minimum value of a vector from noisy observations. This problem is relevant in population/policy comparison, discrete maximum likelihood, and model selection. We develop an asymptotically…

Statistics Theory · Mathematics 2026-01-21 Tianyu Zhang , Hao Lee , Jing Lei

We study the problem of achieving high efficiency in iterative combinatorial auctions (ICAs). ICAs are a kind of combinatorial auction where the auctioneer interacts with bidders to gather their valuation information using a limited number…

Computer Science and Game Theory · Computer Science 2024-09-24 Ryota Maruo , Hisashi Kashima

Conflict of interest is the permanent companion of any population of agents (computational or biological). For that reason, the ability to compromise is of paramount importance, making voting a key element of societal mechanisms. One of the…

Artificial Intelligence · Computer Science 2016-08-10 Arne Recknagel , Tarek R. Besold

In a prophet inequality problem, $n$ independent random variables are presented to a gambler one by one. The gambler decides when to stop the sequence and obtains the most recent value as reward. We evaluate a stopping rule by the…

Data Structures and Algorithms · Computer Science 2023-11-16 Andrés Cristi , Bruno Ziliotto

Given a set of $n$ individuals with strict preferences over $m$ indivisible objects, the Random Serial Dictatorship (RSD) mechanism is a method for allocating objects to individuals in a way that is efficient, fair, and…

Theoretical Economics · Economics 2026-02-03 Maor Ben Zaquen , Ron Holzman

Incorporation of expert information in inference or decision settings is often important, especially in cases where data are unavailable, costly or unreliable. One approach is to elicit prior quantiles from an expert and then to fit these…

Statistics Theory · Mathematics 2016-11-04 Nicholas M. Kiefer

The iterated prisoner's dilemma is a game that produces many counter-intuitive and complex behaviors in a social environment, based on very simple basic rules. It illustrates that cooperation can be a good thing even in a competitive world,…

Computer Science and Game Theory · Computer Science 2020-09-07 Robert Prentner

In many repeated auction settings, participants care not only about how frequently they win but also how their winnings are distributed over time. This problem arises in various practical domains where avoiding congested demand is crucial,…

Computer Science and Game Theory · Computer Science 2025-06-13 Giannis Fikioris , Robert Kleinberg , Yoav Kolumbus , Raunak Kumar , Yishay Mansour , Éva Tardos

In the matroid buyback problem, an algorithm observes a sequence of bids and must decide whether to accept each bid at the moment it arrives, subject to a matroid constraint on the set of accepted bids. Decisions to reject bids are…

Computer Science and Game Theory · Computer Science 2009-11-30 Ashwinkumar B. V. , Robert Kleinberg

In the Bidder Selection Problem (BSP) there is a large pool of $n$ potential advertisers competing for ad slots on the user's web page. Due to strict computational restrictions, the advertising platform can run a proper auction only for a…

Computer Science and Game Theory · Computer Science 2024-04-30 Nickolai Gravin , Yixuan Even Xu , Renfei Zhou

We consider an extension of the rollout algorithm that applies to constrained deterministic dynamic programming, including challenging combinatorial optimization problems. The algorithm relies on a suboptimal policy, called base heuristic.…

Optimization and Control · Mathematics 2020-04-28 Dimitri Bertsekas

Combinatorial auctions are formulated as frustrated lattice gases on sparse random graphs, allowing the determination of the optimal revenue by methods of statistical physics. Transitions between computationally easy and hard regimes are…

Statistical Mechanics · Physics 2009-11-11 Tobias Galla , Michele Leone , Matteo Marsili , Mauro Sellitto , Martin Weigt , Riccardo Zecchina

Bayesian optimal experimental design has immense potential to inform the collection of data so as to subsequently enhance our understanding of a variety of processes. However, a major impediment is the difficulty in evaluating optimal…

Computation · Statistics 2018-03-14 David J. Price , Nigel G. Bean , Joshua V. Ross , Jonathan Tuke

We focus on a generalization of the classic Minisum approval voting rule, introduced by Barrot and Lang (2016), and referred to as Conditional Minisum (CMS), for multi-issue elections with preferential dependencies. Under this rule, voters…

Computer Science and Game Theory · Computer Science 2025-06-10 Evangelos Markakis , Georgios Papasotiropoulos

We consider the question of whether collusion among bidders (a "bidding ring") can be supported in equilibrium of unrepeated first-price auctions. Unlike previous work on the topic such as that by McAfee and McMillan [1992] and Marshall and…

Computer Science and Game Theory · Computer Science 2016-08-31 Kevin Leyton-Brown , Moshe Tennenholtz , Navin Bhat , Yoav Shoham

We introduce draft auctions, which is a sequential auction format where at each iteration players bid for the right to buy items at a fixed price. We show that draft auctions offer an exponential improvement in social welfare at equilibrium…

Computer Science and Game Theory · Computer Science 2013-11-13 Nikhil R. Devanur , Jamie Morgenstern , Vasilis Syrgkanis

In this paper we design information elicitation mechanisms for Bayesian auctions. While in Bayesian mechanism design the distributions of the players' private types are often assumed to be common knowledge, information elicitation considers…

Computer Science and Game Theory · Computer Science 2018-06-27 Jing Chen , Bo Li , Yingkai Li
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