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We study a classical Bayesian mechanism design problem where a seller is selling multiple items to multiple buyers. We consider the case where the seller has costs to produce the items, and these costs are private information to the seller.…

Computer Science and Game Theory · Computer Science 2020-04-20 Yang Cai , Mingfei Zhao

We study the problem of designing revenue-maximizing mechanisms for a selfish mediator who facilitates trade between a buyer and a seller. We consider a setting where the mediator does not have information advantage and the buyer's…

Computer Science and Game Theory · Computer Science 2026-03-10 Zhikang Fan , Weiran Shen , Shaojie Tang , Yao Wang

This paper studies an auction design problem for a seller to sell a commodity in a social network, where each individual (the seller or a buyer) can only communicate with her neighbors. The challenge to the seller is to design a mechanism…

Computer Science and Game Theory · Computer Science 2017-02-14 Bin Li , Dong Hao , Dengji Zhao , Tao Zhou

A seminal result of Bulow and Klemperer [1989] demonstrates the power of competition for extracting revenue: when selling a single item to $n$ bidders whose values are drawn i.i.d. from a regular distribution, the simple welfare-maximizing…

Computer Science and Game Theory · Computer Science 2016-12-30 Alon Eden , Michal Feldman , Ophir Friedler , Inbal Talgam-Cohen , S. Matthew Weinberg

Standard ad auction formats do not immediately extend to settings where multiple size configurations and layouts are available to advertisers. In these settings, the sale of web advertising space increasingly resembles a combinatorial…

Computer Science and Game Theory · Computer Science 2020-11-10 Rad Niazadeh , Jason Hartline , Nicole Immorlica , Mohammad Reza Khani , Brendan Lucier

In digital advertising, online platforms allocate ad impressions through real-time auctions, where advertisers typically rely on autobidding agents to optimize bids on their behalf. Unlike traditional auctions for physical goods, the value…

Computer Science and Game Theory · Computer Science 2025-09-03 Zhicheng Du , Wei Tang , Zihe Wang , Shuo Zhang

Submodular maximization subject to matroid constraints is a central problem with many applications in machine learning. As algorithms are increasingly used in decision-making over datapoints with sensitive attributes such as gender or race,…

Data Structures and Algorithms · Computer Science 2026-01-16 Sepideh Mahabadi , Sherry Sarkar , Jakub Tarnawski

We consider the fundamental mechanism design problem of approximate social welfare maximization under general cardinal preferences on a finite number of alternatives and without money. The well-known range voting scheme can be thought of as…

Computer Science and Game Theory · Computer Science 2014-09-12 Aris Filos-Ratsikas , Peter Bro Miltersen

Max Consensus-based Auction (MCA) protocols are an elegant approach to establish conflict-free distributed allocations in a wide range of network utility maximization problems. A set of agents independently bid on a set of items, and…

Software Engineering · Computer Science 2015-12-14 Saber Mirzaei , Flavio Esposito

We prove a near optimal round-communication tradeoff for the two-party quantum communication complexity of disjointness. For protocols with $r$ rounds, we prove a lower bound of $\tilde{\Omega}(n/r + r)$ on the communication required for…

Computational Complexity · Computer Science 2015-05-13 Mark Braverman , Ankit Garg , Young Kun Ko , Jieming Mao , Dave Touchette

On-demand resource provisioning in cloud computing provides tailor-made resource packages (typically in the form of VMs) to meet users' demands. Public clouds nowadays provide more and more elaborated types of VMs, but have yet to offer the…

Computer Science and Game Theory · Computer Science 2016-11-24 Xiaoxi Zhang , Chuan Wu , Zongpeng Li , Francis C. M. Lau

Bilateral trade models the task of intermediating between two strategic agents, a seller and a buyer, willing to trade a good for which they hold private valuations. We study this problem from the perspective of a broker, in a regret…

Computer Science and Game Theory · Computer Science 2025-09-29 Simone Di Gregorio , Paul Dütting , Federico Fusco , Chris Schwiegelshohn

In this paper we consider multidimensional mechanism design problem for selling discrete substitutable items to a group of buyers. Previous work on this problem mostly focus on stochastic description of valuations used by the seller.…

Computer Science and Game Theory · Computer Science 2017-01-05 Maciej Drwal

Maximizing a single submodular set function subject to a cardinality constraint is a well-studied and central topic in combinatorial optimization. However, finding a set that maximizes multiple functions at the same time is much less…

Data Structures and Algorithms · Computer Science 2025-05-16 Fabian Spaeh , Atsushi Miyauchi

Using mechanised reasoning we prove that combinatorial Vickrey auctions are soundly specified in that they associate a unique outcome (allocation and transfers) to any valid input (bids). Having done so, we auto-generate verified executable…

Computer Science and Game Theory · Computer Science 2013-09-03 Marco B. Caminati , Manfred Kerber , Christoph Lange , Colin Rowat

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 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

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

Robust mechanism design is a rising alternative to Bayesian mechanism design, which yields designs that do not rely on assumptions like full distributional knowledge. We apply this approach to mechanisms for selling a single item, assuming…

Computer Science and Game Theory · Computer Science 2022-05-24 Nir Bachrach , Inbal Talgam-Cohen

The Combinatorial Multi-Round Ascending Auction (CMRA) is a new auction format used in recent European spectrum auctions. We show that an auction-specific version of truthful bidding leads to an efficient allocation. We then characterize…

Theoretical Economics · Economics 2025-10-23 Bernhard Kasberger , Alexander Teytelboym