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In mechanism design, it is challenging to design the optimal auction with correlated values in general settings. Although value distribution can be further exploited to improve revenue, the complex correlation structure makes it hard to…

Computer Science and Game Theory · Computer Science 2023-02-21 Da Huo , Zhilin Zhang , Zhenzhe Zheng , Chuan Yu , Jian Xu , Fan Wu

We consider the problem of computing a (pure) Bayes-Nash equilibrium in the first-price auction with continuous value distributions and discrete bidding space. We prove that when bidders have independent subjective prior beliefs about the…

Computer Science and Game Theory · Computer Science 2023-03-06 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Alexandros Hollender , Philip Lazos , Diogo Poças

We present an extensive analysis of the key problem of learning optimal reserve prices for generalized second price auctions. We describe two algorithms for this task: one based on density estimation, and a novel algorithm benefiting from…

Machine Learning · Computer Science 2015-06-10 Mehryar Mohri , Andres Munoz Medina

We consider the problem of finding the (unique) minimal Walrasian equilibrium price in multi-item, multi-unit auction models: there are multiple indivisible items for sale, with several units of each item, and a bidder may be interested in…

Combinatorics · Mathematics 2026-05-01 Kazuo Murota , Akiyoshi Shioura

We consider the computational complexity of computing Bayes-Nash equilibria in first-price auctions, where the bidders' values for the item are drawn from a general (possibly correlated) joint distribution. We show that when the values and…

Computer Science and Game Theory · Computer Science 2025-06-06 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Alexandros Hollender , Charalampos Kokkalis

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 consider the problem of the optimization of bidding strategies in prior-dependent revenue-maximizing auctions, when the seller fixes the reserve prices based on the bid distributions. Our study is done in the setting where one bidder is…

Computer Science and Game Theory · Computer Science 2019-05-15 Thomas Nedelec , Noureddine El Karoui , Vianney Perchet

Chinese auctions are a combination between a raffle and an auction and are held in practice at charity events or festivals. In a Chinese auction, multiple players compete for several items by buying tickets, which can be used to win the…

Computer Science and Game Theory · Computer Science 2012-09-04 Simina Brânzei , Clara Forero , Kate Larson , Peter Bro Miltersen

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

In the standard formulation of mechanism design, a key assumption is that the designer has reliable information and technology to determine a prior distribution on types of the agents. In the meanwhile, as pointed out by the Wilson's…

Computer Science and Game Theory · Computer Science 2016-07-20 Pingzhong Tang , Yulong Zeng

In this paper we design information elicitation mechanisms for Bayesian auctions. While in Bayesian mechanism design the distributions of the players' private types are often assumed to be common knowledge, information elicitation considers…

Computer Science and Game Theory · Computer Science 2018-06-27 Jing Chen , Bo Li , Yingkai Li

Motivated by practical constraints in online advertising, we investigate single-parameter auction design for bidders with constraints on their Return On Investment (ROI) -- a targeted minimum ratio between the obtained value and the…

Computer Science and Game Theory · Computer Science 2023-10-04 Hongtao Lv , Xiaohui Bei , Zhenzhe Zheng , Fan Wu

The design of revenue-maximizing combinatorial auctions, i.e. multi-item auctions over bundles of goods, is one of the most fundamental problems in computational economics, unsolved even for two bidders and two items for sale. In the…

Machine Learning · Computer Science 2016-06-15 Maria-Florina Balcan , Tuomas Sandholm , Ellen Vitercik

We study the problem of a buyer (aka auctioneer) who gains stochastic rewards by procuring multiple units of a service or item from a pool of heterogeneous strategic agents. The reward obtained for a single unit from an allocated agent…

Computer Science and Game Theory · Computer Science 2015-04-30 Satyanath Bhat , Shweta Jain , Sujit Gujar , Y. Narahari

We consider the sample complexity of revenue maximization for multiple bidders in unrestricted multi-dimensional settings. Specifically, we study the standard model of $n$ additive bidders whose values for $m$ heterogeneous items are drawn…

Computer Science and Game Theory · Computer Science 2021-04-13 Yannai A. Gonczarowski , S. Matthew Weinberg

We provide a reduction from revenue maximization to welfare maximization in multi-dimensional Bayesian auctions with arbitrary (possibly combinatorial) feasibility constraints and independent bidders with arbitrary (possibly combinatorial)…

Computer Science and Game Theory · Computer Science 2012-07-25 Yang Cai , Constantinos Daskalakis , S. Matthew Weinberg

Classical Bayesian mechanism design relies on the common prior assumption, but such prior is often not available in practice. We study the design of prior-independent mechanisms that relax this assumption: the seller is selling an…

Theoretical Economics · Economics 2024-12-12 Jerry Anunrojwong , Santiago R. Balseiro , Omar Besbes

This paper develops a general approach, rooted in statistical learning theory, to learning an approximately revenue-maximizing auction from data. We introduce $t$-level auctions to interpolate between simple auctions, such as welfare…

Computer Science and Game Theory · Computer Science 2015-06-12 Jamie Morgenstern , Tim Roughgarden

In this paper, we introduce a novel approach for reducing the $k$-item $n$-bidder auction with additive valuation to $k$-item $1$-bidder auctions. This approach, called the \emph{Best-Guess} reduction, can be applied to address several…

Computer Science and Game Theory · Computer Science 2014-06-24 Andrew Chi-Chih Yao

We consider the problem of a single seller repeatedly selling a single item to a single buyer (specifically, the buyer has a value drawn fresh from known distribution $D$ in every round). Prior work assumes that the buyer is fully rational…

Computer Science and Game Theory · Computer Science 2017-11-28 Mark Braverman , Jieming Mao , Jon Schneider , S. Matthew Weinberg