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Advertisers increasingly use automated bidding to optimize their ad campaigns on online advertising platforms. Autobidding optimizes an advertiser's objective subject to various constraints, e.g. average ROI and budget constraints. In this…

Computer Science and Game Theory · Computer Science 2024-04-16 Gagan Aggarwal , Giannis Fikioris , Mingfei Zhao

Combinatorial auctions where agents can bid on bundles of items are desirable because they allow the agents to express complementarity and substitutability between the items. However, expressing one's preferences can require bidding on all…

Computer Science and Game Theory · Computer Science 2007-05-23 Benoit Hudson , Tuomas Sandholm

We present a collection of new results on problems related to 3SUM, including: 1. The first truly subquadratic algorithm for $\ \ \ \ \ $ 1a. computing the (min,+) convolution for monotone increasing sequences with integer values bounded by…

Data Structures and Algorithms · Computer Science 2015-02-19 Timothy M. Chan , Moshe Lewenstein

We study the communication complexity of dominant strategy implementations of combinatorial auctions. We start with two domains that are generally considered "easy": multi-unit auctions with decreasing marginal values and combinatorial…

Computer Science and Game Theory · Computer Science 2022-06-02 Shahar Dobzinski , Shiri Ron , Jan Vondrák

We study a class of procurement auctions with a budget constraint, where an auctioneer is interested in buying resources or services from a set of agents. Ideally, the auctioneer would like to select a subset of the resources so as to…

Computer Science and Game Theory · Computer Science 2017-10-10 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis

The Maker Protocol is a decentralized finance application that enables collateralized lending. The application uses open-bid, second-price auctions to complete its loan liquidation process. In this paper, we develop a bidding function for…

Trading and Market Microstructure · Quantitative Finance 2021-05-27 Michael Darlin , Nikolaos Papadis , Leandros Tassiulas

Auction design for the modern advertising market has gained significant prominence in the field of game theory. With the recent rise of auto-bidding tools, an increasing number of advertisers in the market are utilizing these tools for…

Computer Science and Game Theory · Computer Science 2024-12-31 Changfeng Xu , Chao Peng , Chenyang Xu , Zhengfeng Yang

Myerson's seminal work provides a computationally efficient revenue-optimal auction for selling one item to multiple bidders. Generalizing this work to selling multiple items at once has been a central question in economics and algorithmic…

Computer Science and Game Theory · Computer Science 2013-04-02 Constantinos Daskalakis , Alan Deckelbaum , Christos Tzamos

We present the first nontrivial approximation algorithm for the bottleneck asymmetric traveling salesman problem. Given an asymmetric metric cost between n vertices, the problem is to find a Hamiltonian cycle that minimizes its bottleneck…

Data Structures and Algorithms · Computer Science 2020-12-29 Hyung-Chan An , Robert Kleinberg , David B. Shmoys

We study a basic auction design problem with online supply. There are two unit-demand bidders and two types of items. The first item type will arrive first for sure, and the second item type may or may not arrive. The auctioneer has to…

Computer Science and Game Theory · Computer Science 2017-07-17 Nikhil R. Devanur , Balasubramanian Sivan , Vasilis Syrgkanis

We consider the optimization problem of a multi-resource, multi-unit VCG auction that produces an optimal, i.e., non-approximated, social welfare. We present an algorithm that solves this optimization problem with pseudo-polynomial…

Computer Science and Game Theory · Computer Science 2019-05-23 Liran Funaro , Orna Agmon Ben-Yehuda , Assaf Schuster

Given n positive integers, the Modular Subset Sum problem asks if a subset adds up to a given target t modulo a given integer m. This is a natural generalization of the Subset Sum problem (where m=+\infty) with ties to additive…

Data Structures and Algorithms · Computer Science 2018-07-16 Kyriakos Axiotis , Arturs Backurs , Christos Tzamos

We study revenue optimization learning algorithms for posted-price auctions with strategic buyers. We analyze a very broad family of monotone regret minimization algorithms for this problem, which includes the previously best known…

Machine Learning · Computer Science 2014-11-25 Mehryar Mohri , Andres Muñoz Medina

We present a new approach to machine learning-powered combinatorial auctions, which is based on the principles of Differential Privacy. Our methodology guarantees that the auction mechanism is truthful, meaning that rational bidders have…

Computer Science and Game Theory · Computer Science 2024-05-20 Arash Jamshidi , Seyed Mohammad Hosseini , Seyed Mahdi Noormousavi , Mahdi Jafari Siavoshani

We consider a multi-round auction setting motivated by pay-per-click auctions for Internet advertising. In each round the auctioneer selects an advertiser and shows her ad, which is then either clicked or not. An advertiser derives value…

Data Structures and Algorithms · Computer Science 2013-06-05 Moshe Babaioff , Yogeshwer Sharma , Aleksandrs Slivkins

We construct prior-free auctions with constant-factor approximation guarantees with ordered bidders, in both unlimited and limited supply settings. We compare the expected revenue of our auctions on a bid vector to the monotone price…

Computer Science and Game Theory · Computer Science 2012-12-13 Elias Koutsoupias , Stefano Leonardi , Tim Roughgarden

Spectrum auctions are the primary mechanism through which governments allocate scarce radio frequencies, with outcomes that shape competition, coverage, and innovation in telecommunications markets. While traditional models of spectrum…

Computer Science and Game Theory · Computer Science 2025-12-10 Sara Jalili Shani , Kris Joseph , Michael B. McNally , James R. Wright

Since the 1990s spectrum auctions have been implemented world-wide. This has provided for a practical examination of an assortment of auction mechanisms and, amongst these, two simultaneous ascending price auctions have proved to be…

Computer Science and Game Theory · Computer Science 2015-07-24 Nicolas Bousquet , Yang Cai , Christoph Hunkenschröder , Adrian Vetta

Given a multiset $S$ of $n$ positive integers and a target integer $t$, the subset sum problem is to decide if there is a subset of $S$ that sums up to $t$. We present a new divide-and-conquer algorithm that computes all the realizable…

Data Structures and Algorithms · Computer Science 2016-12-13 Konstantinos Koiliaris , Chao Xu

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…

Computer Science and Game Theory · Computer Science 2024-03-29 Ermis Soumalias , Jakob Weissteiner , Jakob Heiss , Sven Seuken