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We present our results on Uniform Price Auctions, one of the standard sealed-bid multi-unit auction formats, for selling multiple identical units of a single good to multi-demand bidders. Contrary to the truthful and economically efficient…

Computer Science and Game Theory · Computer Science 2013-06-20 Evangelos Markakis , Orestis Telelis

We study the inefficiency of mixed equilibria, expressed as the price of anarchy, of all-pay auctions in three different environments: combinatorial, multi-unit and single-item auctions. First, we consider item-bidding combinatorial…

Computer Science and Game Theory · Computer Science 2015-08-06 George Christodoulou , Alkmini Sgouritsa , Bo Tang

Repeated multi-unit auctions, where a seller allocates multiple identical items over many rounds, are common mechanisms in electricity markets and treasury auctions. We compare the two predominant formats: uniform-price and discriminatory…

Computer Science and Game Theory · Computer Science 2025-10-23 Marius Potfer , Vianney Perchet

We initiate the study of how auction design affects the division of surplus among buyers. We propose a parsimonious measure for equity and apply it to the family of standard auctions for homogeneous goods. Our surplus-equitable mechanism is…

Theoretical Economics · Economics 2024-11-14 Simon Finster , Patrick Loiseau , Simon Mauras , Mathieu Molina , Bary Pradelski

We study multi-unit auctions in which bidders have limited knowledge of opponent strategies and values. We characterize optimal prior-free bids; these bids minimize the maximal loss in expected utility resulting from uncertainty surrounding…

Theoretical Economics · Economics 2023-05-02 Bernhard Kasberger , Kyle Woodward

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 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

Motivated by Carbon Emissions Trading Schemes, Treasury Auctions, Procurement Auctions, and Wholesale Electricity Markets, which all involve the auctioning of homogeneous multiple units, we consider the problem of learning how to bid in…

Computer Science and Game Theory · Computer Science 2024-11-12 Rigel Galgana , Negin Golrezaei

We consider repeated multi-unit auctions with uniform pricing, which are widely used in practice for allocating goods such as carbon licenses. In each round, $K$ identical units of a good are sold to a group of buyers that have valuations…

Computer Science and Game Theory · Computer Science 2024-01-17 Simina Brânzei , Mahsa Derakhshan , Negin Golrezaei , Yanjun Han

We study a class of iterative combinatorial auctions which can be viewed as subgradient descent methods for the problem of pricing bundles to balance supply and demand. We provide concrete convergence rates for auctions in this class,…

Computer Science and Game Theory · Computer Science 2016-06-01 Jacob Abernethy , Sébastien Lahaie , Matus Telgarsky

We study a class of manipulations in combinatorial auctions where bidders fundamentally misrepresent what goods they are interested in. Prior work has largely assumed that bidders only submit bids on their bundles of interest, which we call…

Computer Science and Game Theory · Computer Science 2021-09-13 Vitor Bosshard , Sven Seuken

The current art in optimal combinatorial auctions is limited to handling the case of single units of multiple items, with each bidder bidding on exactly one bundle (single minded bidders). This paper extends the current art by proposing an…

Computer Science and Game Theory · Computer Science 2010-04-27 Sujit Gujar , Y Narahari

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 the efficiency of simple combinatorial auctions for the allocation of a set of items to a set of agents, with private subadditive valuation functions and budget constraints. The class we consider includes all auctions that allocate…

Computer Science and Game Theory · Computer Science 2020-07-29 Alexandros A. Voudouris

In a multiple-object auction, every bidder tries to win as many objects as possible with a bidding algorithm. This paper studies position-randomized auctions, which form a special class of multiple-object auctions where a bidding algorithm…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Yuyu Chen , Ming-Yang Kao , Hsueh-I Lu

The internet advertising market is a multi-billion dollar industry, in which advertisers buy thousands of ad placements every day by repeatedly participating in auctions. An important and ubiquitous feature of these auctions is the presence…

Computer Science and Game Theory · Computer Science 2022-10-11 Santiago Balseiro , Christian Kroer , Rachitesh Kumar

We study the efficiency of sequential first-price item auctions at (subgame perfect) equilibrium. This auction format has recently attracted much attention, with previous work establishing positive results for unit-demand valuations and…

Computer Science and Game Theory · Computer Science 2013-09-11 Michal Feldman , Brendan Lucier , Vasilis Syrgkanis

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

Simultaneous item auctions are simple procedures for allocating items to bidders with potentially complex preferences over different item sets. In a simultaneous auction, every bidder submits bids on all items simultaneously. The allocation…

Computer Science and Game Theory · Computer Science 2012-09-24 Michal Feldman , Hu Fu , Nick Gravin , Brendan Lucier

Auctions are important mechanisms extensively implemented in various markets, e.g., search engines' keyword auctions, antique auctions, etc. Finding an optimal auction mechanism is extremely difficult due to the constraints of imperfect…

Machine Learning · Computer Science 2025-07-28 Jiayin Liu , Chenglong Zhang
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