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Along with substantial progress made recently in designing near-optimal mechanisms for multi-item auctions, interesting structural questions have also been raised and studied. In particular, is it true that the seller can always extract…

Computer Science and Game Theory · Computer Science 2017-09-12 Andrew Chi-Chih Yao

Motivated by applications such as college admission and insurance rate determination, we propose an evaluation problem where the inputs are controlled by strategic individuals who can modify their features at a cost. A learner can only…

Computer Science and Game Theory · Computer Science 2020-11-05 Nika Haghtalab , Nicole Immorlica , Brendan Lucier , Jack Z. Wang

In this paper, we introduce a Bayesian revenue-maximizing mechanism design model where the items have fixed, exogenously-given prices. Buyers are unit-demand and have an ordinal ranking over purchasing either one of these items at its given…

Computer Science and Game Theory · Computer Science 2020-10-16 Will Ma

We initiate the study of centralized algorithms for welfare-maximizing allocation of goods to buyers subject to average-value constraints. We show that this problem is NP-hard to approximate beyond a factor of $\frac{e}{e-1}$, and provide a…

Data Structures and Algorithms · Computer Science 2025-09-09 Kshipra Bhawalkar , Zhe Feng , Anupam Gupta , Aranyak Mehta , David Wajc , Di Wang

We introduce a dynamic mechanism design problem in which the designer wants to offer for sale an item to an agent, and another item to the same agent at some point in the future. The agent's joint distribution of valuations for the two…

Computer Science and Game Theory · Computer Science 2023-05-22 Christos Papadimitriou , George Pierrakos , Christos-Alexandros Psomas , Aviad Rubinstein

Budget feasible mechanisms, recently initiated by Singer (FOCS 2010), extend algorithmic mechanism design problems to a realistic setting with a budget constraint. We consider the problem of designing truthful budget feasible mechanisms for…

Computer Science and Game Theory · Computer Science 2010-07-23 Ning Chen , Nick Gravin , Pinyan Lu

We study truthful mechanisms for matching and related problems in a partial information setting, where the agents' true utilities are hidden, and the algorithm only has access to ordinal preference information. Our model is motivated by the…

Computer Science and Game Theory · Computer Science 2016-10-20 Elliot Anshelevich , Shreyas Sekar

We study the problem of maximizing a monotone submodular function subject to a matroid independence constraint. For more than a decade, a rich body of work has studied this problem. Initially, a tight approximation of $ (1-\frac{1}{e})$ was…

Data Structures and Algorithms · Computer Science 2026-05-06 Amit Ganz Rozenman , Ariel Kulik , Roy Schwartz , Mohit Singh

In this paper we consider a mechanism design problem in the context of large-scale crowdsourcing markets such as Amazon's Mechanical Turk, ClickWorker, CrowdFlower. In these markets, there is a requester who wants to hire workers to…

Computer Science and Game Theory · Computer Science 2014-08-14 Nima Anari , Gagan Goel , Afshin Nikzad

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

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 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

Convex approximation sets for multiobjective optimization problems are a well-studied relaxation of the common notion of approximation sets. Instead of approximating each image of a feasible solution by the image of some solution in the…

Optimization and Control · Mathematics 2023-06-13 Stephan Helfrich , Stefan Ruzika , Clemens Thielen

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

This paper develops tools for welfare and revenue analyses of Bayes-Nash equilibria in asymmetric auctions with single-dimensional agents. We employ these tools to derive price of anarchy results for social welfare and revenue. Our approach…

Computer Science and Game Theory · Computer Science 2019-01-17 Jason Hartline , Darrell Hoy , Sam Taggart

The approximation ratio has become one of the dominant measures in mechanism design problems. In light of analysis of algorithms, we define the \emph{smoothed approximation ratio} to compare the performance of the optimal mechanism and a…

Computer Science and Game Theory · Computer Science 2017-06-23 Xiaotie Deng , Yansong Gao , Jie Zhang

We revisit the well-studied problem of budget-feasible procurement, where a buyer with a strict budget constraint seeks to acquire services from a group of strategic providers (the sellers). During the last decade, several strategyproof…

Computer Science and Game Theory · Computer Science 2021-07-22 Eric Balkanski , Pranav Garimidi , Vasilis Gkatzelis , Daniel Schoepflin , Xizhi Tan

We study the bidding problem in repeated uniform price multi-unit auctions from the perspective of a value-maximizing buyer. The buyer aims to maximize their cumulative value over $T$ rounds while adhering to per-round return-on-investment…

Data Structures and Algorithms · Computer Science 2025-10-07 Negin Golrezaei , Sourav Sahoo

We study the problem of fair allocation of a set of indivisible items among agents with additive valuations, under matroid constraints and two generalizations: $p$-extendible system and independence system constraints. The objective is to…

Computer Science and Game Theory · Computer Science 2024-11-07 Yuanyuan Wang , Xin Chen , Qingqin Nong

The transition to auto-bidding in online advertising has shifted the focus of auction theory from quasi-linear utility maximization to value maximization subject to financial constraints. We study mechanism design for buyers with private…

Computer Science and Game Theory · Computer Science 2026-02-24 Xiaodong Liu , Weiran Shen , Zihe Wang