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Combinatorial Auctions are a central problem in Algorithmic Mechanism Design: pricing and allocating goods to buyers with complex preferences in order to maximize some desired objective (e.g., social welfare, revenue, or profit). The…

Computer Science and Game Theory · Computer Science 2015-03-19 Avrim Blum , Anupam Gupta , Yishay Mansour , Ankit Sharma

We study the design of mechanisms in combinatorial auction domains. We focus on settings where the auction is repeated, motivated by auctions for licenses or advertising space. We consider models of agent behaviour in which they either…

Computer Science and Game Theory · Computer Science 2009-10-01 Brendan Lucier

We study mechanism design problems in the {\em ordinal setting} wherein the preferences of agents are described by orderings over outcomes, as opposed to specific numerical values associated with them. This setting is relevant when agents…

Computer Science and Game Theory · Computer Science 2014-03-11 Deeparnab Chakrabarty , Chaitanya Swamy

Automated bidding to optimize online advertising with various constraints, e.g. ROI constraints and budget constraints, is widely adopted by advertisers. A key challenge lies in designing algorithms for non-truthful mechanisms with ROI…

Computer Science and Game Theory · Computer Science 2025-10-21 Yuan Deng , Yilin Li , Wei Tang , Hanrui Zhang

We study online auction settings in which agents arrive and depart dynamically in a random (secretary) order, and each agent's private type consists of the agent's arrival and departure times, value and budget. We consider multi-unit…

Computer Science and Game Theory · Computer Science 2015-04-15 Alon Eden , Michal Feldman , Adi Vardi

Optimal mechanism design enjoys a beautiful and well-developed theory, and also a number of killer applications. Rules of thumb produced by the field influence everything from how governments sell wireless spectrum licenses to how the major…

Computer Science and Game Theory · Computer Science 2014-09-23 Tim Roughgarden

Two sellers compete to sell identical products to a single buyer. Each seller chooses an arbitrary mechanism, possibly involving lotteries, to sell their product. The utility-maximizing buyer can choose to participate in one or both…

Computer Science and Game Theory · Computer Science 2025-05-27 Brendan Lucier , Raghuvansh R. Saxena

Submodular maximization is one of the central topics in combinatorial optimization. It has found numerous applications in the real world. In the past decades, a series of algorithms have been proposed for this problem. However, most of the…

Data Structures and Algorithms · Computer Science 2023-04-03 Xiaoming Sun , Jialin Zhang , Shuo Zhang , Zhijie Zhang

In this paper, we show a tight approximation guarantee for budget-feasible mechanisms with an additive buyer. We propose a new simple randomized mechanism with approximation ratio of $2$, improving the previous best known result of $3$. Our…

Computer Science and Game Theory · Computer Science 2020-07-22 Nick Gravin , Yaonan Jin , Pinyan Lu , Chenhao Zhang

We study the communication complexity of truthful combinatorial auctions, and in particular the case where valuations are either subadditive or single-minded, which we denote with $\mathsf{SubAdd}\cup\mathsf{SingleM}$. We show that for…

Computer Science and Game Theory · Computer Science 2024-09-13 Shiri Ron , Clayton Thomas , S. Matthew Weinberg , Qianfan Zhang

Mechanism design for one-sided markets has been investigated for several decades in economics and in computer science. More recently, there has been an increased attention on mechanisms for two-sided markets, in which buyers and sellers act…

Computer Science and Game Theory · Computer Science 2021-03-09 Riccardo Colini-Baldeschi , Paul Goldberg , Bart de Keijzer , Stefano Leonardi , Tim Roughgarden , Stefano Turchetta

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 study the problem of learning revenue-optimal multi-bidder auctions from samples when the samples of bidders' valuations can be adversarially corrupted or drawn from distributions that are adversarially perturbed. First, we prove tight…

Computer Science and Game Theory · Computer Science 2021-07-14 Wenshuo Guo , Michael I. Jordan , Manolis Zampetakis

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…

Computer Science and Game Theory · Computer Science 2023-10-13 Yang Cai , Ziyun Chen , Jinzhao Wu

We study the problem of a budget limited buyer who wants to buy a set of items, each from a different seller, to maximize her value. The budget feasible mechanism design problem aims to design a mechanism which incentivizes the sellers to…

Computer Science and Game Theory · Computer Science 2017-04-03 Pooya Jalaly , Eva Tardos

We consider an outsourcing problem where a software agent procures multiple services from providers with uncertain reliabilities to complete a computational task before a strict deadline. The service consumer requires a procurement strategy…

Computer Science and Game Theory · Computer Science 2021-10-26 Farzaneh Farhadi , Maria Chli , Nicholas R. Jennings

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

This paper develops the theory of mechanism redesign by which an auctioneer can reoptimize an auction based on bid data collected from previous iterations of the auction on bidders from the same market. We give a direct method for…

Computer Science and Game Theory · Computer Science 2022-02-15 Shuchi Chawla , Jason D. Hartline , Denis Nekipelov , Anant Shah

We study multi-buyer multi-item sequential item pricing mechanisms for revenue maximization with the goal of approximating a natural fractional relaxation -- the ex ante optimal revenue. We assume that buyers' values are subadditive but…

Computer Science and Game Theory · Computer Science 2024-04-24 Shuchi Chawla , Dimitris Christou , Trung Dang , Zhiyi Huang , Gregory Kehne , Rojin Rezvan

Symmetric submodular maximization is an important class of combinatorial optimization problems, including MAX-CUT on graphs and hyper-graphs. The state-of-the-art algorithm for the problem over general constraints has an approximation ratio…

Data Structures and Algorithms · Computer Science 2024-06-21 Zongqi Wan , Jialin Zhang , Xiaoming Sun , Zhijie Zhang