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We present a general framework for proving polynomial sample complexity bounds for the problem of learning from samples the best auction in a class of "simple" auctions. Our framework captures all of the most prominent examples of "simple"…

Machine Learning · Computer Science 2016-04-13 Jamie Morgenstern , Tim Roughgarden

This study explores the design of an efficient rebate policy in auction markets, focusing on a continuous-time setting with competition among market participants. In this model, a stock exchange collects transaction fees from auction…

Trading and Market Microstructure · Quantitative Finance 2025-01-23 Thibaut Mastrolia , Tianrui Xu

We develop a unified ascending-auction framework for computing Walrasian equilibria in combinatorial markets with strong substitutes valuations and piecewise-linear payment functions. Our auction extends the celebrated ascending auctions of…

Computer Science and Game Theory · Computer Science 2026-04-14 Taihei Oki , Ryosuke Sato

We show that computing the revenue-optimal deterministic auction in unit-demand single-buyer Bayesian settings, i.e. the optimal item-pricing, is computationally hard even in single-item settings where the buyer's value distribution is a…

Computer Science and Game Theory · Computer Science 2015-03-10 Constantinos Daskalakis , Alan Deckelbaum , Christos Tzamos

We study revenue optimization pricing algorithms for repeated posted-price auctions where a seller interacts with a single strategic buyer that holds a fixed private valuation. We show that, in the case when both the seller and the buyer…

Computer Science and Game Theory · Computer Science 2018-05-08 Arsenii Vanunts , Alexey Drutsa

Combinatorial auctions are formulated as frustrated lattice gases on sparse random graphs, allowing the determination of the optimal revenue by methods of statistical physics. Transitions between computationally easy and hard regimes are…

Statistical Mechanics · Physics 2009-11-11 Tobias Galla , Michele Leone , Matteo Marsili , Mauro Sellitto , Martin Weigt , Riccardo Zecchina

We provide algorithms that learn simple auctions whose revenue is approximately optimal in multi-item multi-bidder settings, for a wide range of valuations including unit-demand, additive, constrained additive, XOS, and subadditive. We…

Computer Science and Game Theory · Computer Science 2017-09-04 Yang Cai , Constantinos Daskalakis

We study the design of mechanisms in combinatorial auction domains. We focus on settings where the auction is repeated, motivated by auctions for licenses or advertising space. We consider models of agent behaviour in which they either…

Computer Science and Game Theory · Computer Science 2009-10-01 Brendan Lucier

We derive optimal strategies for a bidding agent that participates in multiple, simultaneous second-price auctions with perfect substitutes. We prove that, if everyone else bids locally in a single auction, the global bidder should always…

Computer Science and Game Theory · Computer Science 2014-01-16 Enrico H. Gerding , Rajdeep Kumar Dash , Andrew Byde , Nicholas Robert Jennings

In a combinatorial auction with item bidding, agents participate in multiple single-item second-price auctions at once. As some items might be substitutes, agents need to strategize in order to maximize their utilities. A number of results…

Computer Science and Game Theory · Computer Science 2017-04-17 Paul Dütting , Thomas Kesselheim

Ad auctions in sponsored search support ``broad match'' that allows an advertiser to target a large number of queries while bidding only on a limited number. While giving more expressiveness to advertisers, this feature makes it challenging…

Computer Science and Game Theory · Computer Science 2009-01-26 Eyal Even-dar , Yishay Mansour , Vahab Mirrokni , S. Muthukrishnan , Uri Nadav

We consider some classical optimization problems in path planning and network transport, and we introduce new auction-based algorithms for their optimal and suboptimal solution. The algorithms are based on mathematical ideas that are…

Optimization and Control · Mathematics 2022-07-21 Dimitri Bertsekas

Combinatorial auctions are used to allocate resources in domains where bidders have complex preferences over bundles of goods. However, the behavior of bidders under different payment rules is not well understood, and there has been limited…

Computer Science and Game Theory · Computer Science 2022-06-09 Vitor Bosshard , Ye Wang , Sven Seuken

We consider the problem of repeatedly auctioning a single item to multiple i.i.d buyers who each use a no-regret learning algorithm to bid over time. In particular, we study the seller's optimal revenue, if they know that the buyers are…

Computer Science and Game Theory · Computer Science 2023-07-11 Linda Cai , S. Matthew Weinberg , Evan Wildenhain , Shirley Zhang

We present an incentive-compatible polynomial-time approximation scheme for multi-unit auctions with general k-minded player valuations. The mechanism fully optimizes over an appropriately chosen sub-range of possible allocations and then…

Computer Science and Game Theory · Computer Science 2014-01-17 Shahar Dobzinski , Noam Nisan

This work proposes a bid shading strategy for first-price auctions as a measure-valued optimization problem. We consider a standard parametric form for bid shading and formulate the problem as convex optimization over the joint distribution…

Machine Learning · Computer Science 2025-09-16 Iman Nodozi , Djordje Gligorijevic , Abhishek Halder

In this work we study the optimal execution problem with multiplicative price impact in algorithm trading, when an agent holds an initial position of shares of a financial asset. The inter-selling-decision times are modelled by the arrival…

Mathematical Finance · Quantitative Finance 2018-05-04 Daniel Hernández-Hernández , Harold A. Moreno-Franco , José Luis Pérez

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

We consider a model of bilateral trade with private values. The value of the buyer and the cost of the seller are jointly distributed. The true joint distribution is unknown to the designer, however, the marginal distributions of the value…

Theoretical Economics · Economics 2023-01-02 Komal Malik

In the multi-unit pricing problem, multiple units of a single item are for sale. A buyer's valuation for $n$ units of the item is $v \min \{ n, d\} $, where the per unit valuation $v$ and the capacity $d$ are private information of the…

Computer Science and Game Theory · Computer Science 2017-04-18 Nikhil R. Devanur , Nima Haghpanah , Christos-Alexandros Psomas