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We show how a retailer can estimate the optimal price of a new product using observed transaction prices from online second-price auction experiments. For this purpose we propose a Bayesian P\'olya tree approach which, given the limited…

Applications · Statistics 2012-03-19 Edward I. George , Sam K. Hui

Auctions are markets with strict regulations governing the information available to traders in the market and the possible actions they can take. Since well designed auctions achieve desirable economic outcomes, they have been widely used…

Artificial Intelligence · Computer Science 2009-04-14 Jinzhong Niu , Simon Parsons

In a single-parameter mechanism design problem, a provider is looking to sell a service to a group of potential buyers. Each buyer $i$ has a private value $v_i$ for receiving the service and a feasibility constraint restricts which sets of…

Computer Science and Game Theory · Computer Science 2022-02-21 Michal Feldman , Vasilis Gkatzelis , Nick Gravin , Daniel Schoepflin

This paper proves that the welfare of the first price auction in Bayes-Nash equilibrium is at least a $.743$-fraction of the welfare of the optimal mechanism assuming agents' values are independently distributed. The previous best bound was…

Computer Science and Game Theory · Computer Science 2018-03-20 Darrell Hoy , Sam Taggart , Zihe Wang

We consider a periodic double auction (PDA) setting where buyers of the auction have multiple (but finite) opportunities to procure multiple but fixed units of a commodity. The goal of each buyer participating in such auctions is to reduce…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Bharat Manvi , Easwar Subramanian

We study the computational complexity of computing Bayes-Nash equilibria in first-price auctions with discrete value distributions and discrete bidding space, under general subjective beliefs. It is known that such auctions do not always…

Computer Science and Game Theory · Computer Science 2024-11-06 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Alexandros Hollender , Charalampos Kokkalis

We study procurement auctions, where an auctioneer seeks to acquire services from strategic sellers with private costs. The quality of services is measured by a submodular function known to the auctioneer. Our goal is to design…

Computer Science and Game Theory · Computer Science 2024-11-21 Yuan Deng , Amin Karbasi , Vahab Mirrokni , Renato Paes Leme , Grigoris Velegkas , Song Zuo

We introduce a novel characterization of all Walrasian price vectors in terms of forbidden over- and under demanded sets for monotone gross substitute combinatorial auctions. For ascending and descending auctions we suggest a universal…

Computer Science and Game Theory · Computer Science 2016-05-13 Oren Ben-Zwi

Entities in multi-agent systems may seek conflicting subobjectives, and this leads to competition between them. To address performance degradation due to competition, we consider a bi-level lottery where a social planner at the high level…

Computer Science and Game Theory · Computer Science 2020-12-04 Hunmin Kim , Minghui Zhu

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

Multi-unit auctions are a paradigmatic model, where a seller brings multiple units of a good, while several buyers bring monetary endowments. It is well known that Walrasian equilibria do not always exist in this model, however compelling…

Computer Science and Game Theory · Computer Science 2017-10-10 Simina Brânzei , Aris Filos-Ratsikas , Peter Bro Miltersen , Yulong Zeng

Single-shot auctions are commonly used as a means to sell goods, for example when selling ad space or allocating radio frequencies, however devising mechanisms for auctions with multiple bidders and multiple items can be complicated. It has…

Machine Learning · Computer Science 2023-03-02 Alex Stein , Avi Schwarzschild , Michael Curry , Tom Goldstein , John Dickerson

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

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

We study anonymous posted price mechanisms for combinatorial auctions in a Bayesian framework. In a posted price mechanism, item prices are posted, then the consumers approach the seller sequentially in an arbitrary order, each purchasing…

Computer Science and Game Theory · Computer Science 2014-11-19 Michal Feldman , Nick Gravin , Brendan Lucier

Understanding the convergence landscape of multi-agent learning is a fundamental problem of great practical relevance in many applications of artificial intelligence and machine learning. While it is known that learning dynamics converge to…

Computer Science and Game Theory · Computer Science 2025-03-21 Martin Bichler , Davide Legacci , Panayotis Mertikopoulos , Matthias Oberlechner , Bary Pradelski

We study the Price of Anarchy of simultaneous first-price auctions for buyers with submodular and subadditive valuations. The current best upper bounds for the Bayesian Price of Anarchy of these auctions are e/(e-1) [Syrgkanis and Tardos…

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

The Generalized Second Price (GSP) auction is the primary auction used for monetizing the use of the Internet. It is well-known that truthtelling is not a dominant strategy in this auction and that inefficient equilibria can arise. In this…

Computer Science and Game Theory · Computer Science 2014-04-28 Ioannis Caragiannis , Christos Kaklamanis , Panagiotis Kanellopoulos , Maria Kyropoulou , Brendan Lucier , Renato Paes Leme , Éva Tardos

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 propose a novel, theoretically-grounded, acquisition function for Batch Bayesian optimization informed by insights from distributionally ambiguous optimization. Our acquisition function is a lower bound on the well-known Expected…

Machine Learning · Statistics 2018-04-17 Nikitas Rontsis , Michael A. Osborne , Paul J. Goulart
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