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We study correlated equilibria and coarse equilibria of simple first-price single-item auctions in the simplest auction model of full information. Nash equilibria are known to always yield full efficiency and a revenue that is at least the…

Computer Science and Game Theory · Computer Science 2017-01-09 Michal Feldman , Brendan Lucier , Noam Nisan

We study one-shot Nash competition between an arbitrary number of identical dealers that compete for the order flow of a client. The client trades either because of proprietary information, exposure to idiosyncratic risk, or a mix of both…

Trading and Market Microstructure · Quantitative Finance 2021-07-27 Martin Herdegen , Johannes Muhle-Karbe , Florian Stebegg

One method to offer some bidders a discount in a first-price auction is to augment their bids when selecting a winner but only charge them their original bids should they win. Another method is to use their original bids to select a winner,…

Computer Science and Game Theory · Computer Science 2024-03-12 Miguel Alcobendas , Eric Bax

We study risk-free bidding strategies in combinatorial auctions with incomplete information. Specifically, what is the maximum profit that a complement-free (subadditive) bidder can guarantee in a multi-item combinatorial auction? Suppose…

Computer Science and Game Theory · Computer Science 2021-11-30 Vishnu V. Narayan , Gautam Rayaprolu , Adrian Vetta

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

Sequential auctions for identical items with unit-demand, private-value buyers are common and often occur periodically without end, as new bidders replace departing ones. We model bidder uncertainty by introducing a probability that a…

Computer Science and Game Theory · Computer Science 2025-10-13 Amir Ban

We model a system of n asymmetric firms selling a homogeneous good in a common market through a pay-as-bid auction. Every producer chooses as its strategy a supply function returning the quantity S(p) that it is willing to sell at a minimum…

Systems and Control · Electrical Eng. & Systems 2023-06-14 Martina Vanelli , Giacomo Como , Fabio Fagnani

In this paper, we investigate the computation of second-price pacing equilibria (SPPEs), a foundational model in online advertising auctions. We present a polynomial-time algorithm for computing exact SPPEs in instances with a constant…

Computer Science and Game Theory · Computer Science 2026-05-12 Yiyang Huang , Yonglei Yan , Zihe Wang , Zhengyang Liu

Traditional methods for computing equilibria in auctions become computationally intractable as auction complexity increases, particularly in multi-item and dynamic auctions. This paper introduces a self-play based reinforcement learning…

General Economics · Economics 2024-10-21 Pranjal Rawat

Throttling is a popular method of budget management for online ad auctions in which the platform modulates the participation probability of an advertiser in order to smoothly spend her budget across many auctions. In this work, we…

Computer Science and Game Theory · Computer Science 2023-02-07 Xi Chen , Christian Kroer , Rachitesh Kumar

This paper develops tools for welfare and revenue analyses of Bayes-Nash equilibria in asymmetric auctions with single-dimensional agents. We employ these tools to derive price of anarchy results for social welfare and revenue. Our approach…

Computer Science and Game Theory · Computer Science 2019-01-17 Jason Hartline , Darrell Hoy , Sam Taggart

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

Since economic mechanisms are often applied to very different instances of the same problem, it is desirable to identify mechanisms that work well in a wide range of circumstances. We pursue this goal for a position auction setting and…

Computer Science and Game Theory · Computer Science 2013-07-22 Paul Duetting , Felix Fischer , David C. Parkes

Having fixed capacities, homogeneous products and price sensitive customer purchase decision are primary distinguishing characteristics of numerous revenue management systems. Even with two or three rivals, competition is still highly…

Theoretical Economics · Economics 2022-08-08 Niloofar Fadavi

We advance empirical equilibrium analysis (Velez and Brown, 2020, arXiv:1907.12408) of the winner-bid and loser-bid auctions for the dissolution of a partnership. We show, in a complete information environment, that even though these…

Theoretical Economics · Economics 2020-07-15 Rodrigo A. Velez , Alexander L. Brown

In this paper, we present the first approximation algorithms for the problem of designing revenue optimal Bayesian incentive compatible auctions when there are multiple (heterogeneous) items and when bidders can have arbitrary demand and…

Computer Science and Game Theory · Computer Science 2010-03-30 Sayan Bhattacharya , Gagan Goel , Sreenivas Gollapudi , Kamesh Munagala

This note pursues two primary objectives. First, we analyze the outcomes of an all-pay auction within a store where buyers with and without financial constraints arrive at varying rates, and where buyer types are private information.…

Theoretical Economics · Economics 2024-04-16 Cemil Selcuk

The first-price auction is popular in practice for its simplicity and transparency. Moreover, its potential virtues grow in complex settings where incentive compatible auctions may generate little or no revenue. Unfortunately, the…

Computer Science and Game Theory · Computer Science 2013-04-30 Darrell Hoy , Kamal Jain , Christopher A. Wilkens

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

We study the optimal behavior of a bidder in a real-time auction subject to the requirement that a specified collections of heterogeneous items be acquired within given time constraints. The problem facing this bidder is cast as a…

Computational Engineering, Finance, and Science · Computer Science 2021-11-17 Ryan J. Kinnear , Ravi R. Mazumdar , Peter Marbach