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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

Mature internet advertising platforms offer high-level campaign management tools to help advertisers run their campaigns, often abstracting away the intricacies of how each ad is placed and focusing on aggregate metrics of interest to…

Computer Science and Game Theory · Computer Science 2021-09-07 Vincent Conitzer , Christian Kroer , Debmalya Panigrahi , Okke Schrijvers , Eric Sodomka , Nicolas E. Stier-Moses , Chris Wilkens

We study equilibrium investment into bidding and latency reduction for different sequencing policies. For a batch auction design, we observe that bidders shade bids according to the likelihood that competing bidders land in the current…

Computer Science and Game Theory · Computer Science 2026-02-27 Christoph Schlegel

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

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

While auction theory views bids and valuations as continuous variables, real-world auctions are necessarily discrete. In this paper, we use a combination of analytical and computational methods to investigate whether incorporating…

Theoretical Economics · Economics 2022-08-17 Itzhak Rasooly , Carlos Gavidia-Calderon

We study the identification and estimation of first-price auction models where bidders have ambiguity about the valuation distribution and their preferences are represented by maxmin expected utility. When entry is exogenous, the…

Economics · Quantitative Finance 2015-04-13 Gaurab Aryal , Dong-Hyuk Kim

We study the effect of interim feedback policies in a dynamic all-pay auction where two players bid over two stages to win a common-value prize. We show that sequential equilibrium outcomes are characterized by Cheapest Signal Equilibria,…

Theoretical Economics · Economics 2025-10-28 Sumit Goel , Yiqing Yan , Jeffrey Zeidel

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 study a model of auction design where a seller is selling a set of objects to a set of agents who can be assigned no more than one object. Each agent's preference over (object, payment) pair need not be quasilinear. If the domain…

Theoretical Economics · Economics 2026-02-20 Tomoya Kazumura , Debasis Mishra , Shigehiro Serizawa

We are interested in mechanisms that maximize social welfare. In [1] this problem was studied for multi-unit auctions with unit demand bidders and for the public project problem, and in each case social welfare undominated mechanisms in the…

Computer Science and Game Theory · Computer Science 2008-10-20 Krzysztof R. Apt , Vangelis Markakis

We consider a simple simultaneous first price auction for multiple items in a complete information setting. Our goal is to completely characterize the mixed equilibria in this setting, for a simple, yet highly interesting, {\tt AND}-{\tt…

Computer Science and Game Theory · Computer Science 2012-10-08 Avinatan Hassidim , Haim Kaplan , Yishay Mansour , Noam Nisan

A single unit of a good is sold to one of two bidders. Each bidder has either a high prior valuation or a low prior valuation for the good. Their prior valuations are independently and identically distributed. Each bidder may observe an…

Theoretical Economics · Economics 2022-05-10 Wanchang Zhang

The goal of an auction is to determine commodity prices such that all participants are perfectly happy. Such a solution is called a competitive equilibrium and does not exist in general. For this reason we are interested in solutions which…

Optimization and Control · Mathematics 2013-09-04 Johannes C. Müller

Learning to bid in repeated first-price auctions is a fundamental problem at the interface of game theory and machine learning, which has seen a recent surge in interest due to the transition of display advertising to first-price auctions.…

Computer Science and Game Theory · Computer Science 2024-07-09 Rachitesh Kumar , Jon Schneider , Balasubramanian Sivan

In an all-pay auction, only one bidder wins but all bidders must pay the auctioneer. All-pay bidding games arise from attaching a similar bidding structure to traditional combinatorial games to determine which player moves next. In contrast…

Computer Science and Game Theory · Computer Science 2015-05-15 Michael Menz , Justin Wang , Jiyang Xie

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 show that a competitive equilibrium always exists in combinatorial auctions with anonymous graphical valuations and pricing, using discrete geometry. This is an intuitive and easy-to-construct class of valuations that can model both…

Combinatorics · Mathematics 2021-11-08 Marie-Charlotte Brandenburg , Christian Haase , Ngoc Mai Tran

A classical trading experiment consists of a set of unit demand buyers and unit supply sellers with identical items. Each agent's value or opportunity cost for the item is their private information and preferences are quasi-linear. Trade…

Computer Science and Game Theory · Computer Science 2015-10-02 Sepehr Assadi , Sanjeev Khanna , Yang Li , Rakesh Vohra

We perform a simulation-based analysis of keyword auctions modeled as one-shot games of incomplete information to study a series of mechanism design questions. Our first question addresses the degree to which incentive compatibility fails…

Computer Science and Game Theory · Computer Science 2012-05-14 Yevgeniy Vorobeychik