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We study truthful mechanisms for hiring a team of agents in three classes of set systems: Vertex Cover auctions, k-flow auctions, and cut auctions. For Vertex Cover auctions, the vertices are owned by selfish and rational agents, and the…

Computational Complexity · Computer Science 2011-06-14 David Kempe , Mahyar Salek , Cristopher Moore

Market-based mechanisms such as auctions are being studied as an appropriate means for resource allocation in distributed and mulitagent decision problems. When agents value resources in combination rather than in isolation, they must often…

Artificial Intelligence · Computer Science 2013-01-30 Craig Boutilier , Moises Goldszmidt , Bikash Sabata

We study the design of truthful mechanisms for set systems, i.e., scenarios where a customer needs to hire a team of agents to perform a complex task. In this setting, frugality [Archer&Tardos'02] provides a measure to evaluate the "cost of…

Computer Science and Game Theory · Computer Science 2012-11-09 Ning Chen , Edith Elkind , Nick Gravin , Fedor Petrov

We develop a method using parameterized linear equations to define trading mechanisms in market design models. Our method adeptly addresses challenges arising from factors such as complex endowments or coarse priorities, while offering…

Theoretical Economics · Economics 2025-08-18 Jingsheng Yu , Jun Zhang

The optimization of bidding strategies for online advertising slot auctions presents a critical challenge across numerous digital marketplaces. A significant obstacle to the development, evaluation, and refinement of real-time autobidding…

In {\em set-system auctions}, there are several overlapping teams of agents, and a task that can be completed by any of these teams. The buyer's goal is to hire a team and pay as little as possible. Recently, Karlin, Kempe and Tamir…

Computer Science and Game Theory · Computer Science 2007-07-23 Edith Elkind , Leslie Ann Goldberg , Paul W. Goldberg

We study the problem of designing revenue-maximizing auctions for allocating multiple goods to flexible consumers. In our model, each consumer is interested in a subset of goods known as its flexibility set and wants to consume one good…

Computer Science and Game Theory · Computer Science 2018-02-01 Shiva Navabi , Ashutosh Nayyar

We propose a uniform approach for the design and analysis of prior-free competitive auctions and online auctions. Our philosophy is to view the benchmark function as a variable parameter of the model and study a broad class of functions…

Computer Science and Game Theory · Computer Science 2014-11-11 Ning Chen , Nick Gravin , Pinyan Lu

Traditional combinatorial spectrum auctions mainly rely on fixed bidding and matching processes, which limit participants' ability to adapt their strategies and often result in suboptimal social welfare in dynamic spectrum sharing…

Computer Science and Game Theory · Computer Science 2025-07-29 Xiang Shao , Wei Wang , Guan Gui

We study a novel class of mechanism design problems in which the outcomes are constrained by the payments. This basic class of mechanism design problems captures many common economic situations, and yet it has not been studied, to our…

Computer Science and Game Theory · Computer Science 2013-12-02 Yaron Singer

Budget-feasible procurement auctions play a pivotal role in various AI-driven marketplaces, such as data acquisition and crowdsourcing, where a buyer with a limited budget seeks to procure services from strategic sellers with private costs.…

Computer Science and Game Theory · Computer Science 2026-05-04 Shuang Cui , He Huang , Yu-e Sun , Chen Xue

This paper examines knapsack auctions as a method to solve the knapsack problem with incomplete information, where object values are private and sizes are public. We analyze three auction types-uniform price (UP), discriminatory price (DP),…

Computer Science and Game Theory · Computer Science 2024-05-02 Peyman Khezr , Vijay Mohan , Lionel Page

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 the equilibria of uniform price auctions where many asymmetric bidders have flat demands up to their respective quantity constraints. We present an iterative procedure that systematically finds an equilibrium outcome as well as an…

Theoretical Economics · Economics 2026-04-09 Kiho Yoon

Auctions are widely used in exchanges to match buy and sell requests. Once the buyers and sellers place their requests, the exchange determines how these requests are to be matched. The two most popular objectives used while determining the…

Data Structures and Algorithms · Computer Science 2024-03-06 Mohit Garg , Suneel Sarswat

Optimal transportation theory is an area of mathematics with real-world applications in fields ranging from economics to optimal control to machine learning. We propose a new algorithm for solving discrete transport (network flow) problems,…

Optimization and Control · Mathematics 2019-05-03 J. D. Walsh , Luca Dieci

We improve the best known competitive ratio (from 1/4 to 1/2), for the online multi-unit allocation problem, where the objective is to maximize the single-price revenue. Moreover, the competitive ratio of our algorithm tends to 1, as the…

Computer Science and Game Theory · Computer Science 2009-01-13 Sourav Chakraborty , Nikhil Devanur

We study an auction setting in which bidders bid for placement of their content within a summary generated by a large language model (LLM), e.g., an ad auction in which the display is a summary paragraph of multiple ads. This generalizes…

Computer Science and Game Theory · Computer Science 2024-04-15 Kumar Avinava Dubey , Zhe Feng , Rahul Kidambi , Aranyak Mehta , Di Wang

This paper proposes a new combinatorial auction framework for local energy flexibility markets, which addresses the issue of prosumers' inability to bundle multiple flexibility time intervals. To solve the underlying NP-complete winner…

Machine Learning · Computer Science 2023-07-27 Awadelrahman M. A. Ahmed , Frank Eliassen , Yan Zhang

The optimal pricing problem is a fundamental problem that arises in combinatorial auctions. Suppose that there is one seller who has indivisible items and multiple buyers who want to purchase a combination of the items. The seller wants to…

Computer Science and Game Theory · Computer Science 2016-11-24 Takanori Maehara , Yasushi Kawase , Hanna Sumita , Katsuya Tono , Ken-ichi Kawarabayashi
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