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There has been substantial recent concern that pricing algorithms might learn to ``collude.'' Supra-competitive prices can emerge as a Nash equilibrium of repeated pricing games, in which sellers play strategies which threaten to punish…

Computer Science and Game Theory · Computer Science 2024-12-17 Eshwar Ram Arunachaleswaran , Natalie Collina , Sampath Kannan , Aaron Roth , Juba Ziani

We consider multi-agent decision making, where each agent optimizes its cost function subject to constraints. Agents' actions belong to a compact convex Euclidean space and the agents' cost functions are coupled. We propose a distributed…

Optimization and Control · Mathematics 2016-12-01 Tatiana Tatarenko , Maryam Kamgarpour

In display advertising, a small group of sellers and bidders face each other in up to 10 12 auctions a day. In this context, revenue maximisation via monopoly price learning is a high-value problem for sellers. By nature, these auctions are…

Machine Learning · Computer Science 2020-10-21 Lorenzo Croissant , Marc Abeille , Clément Calauzènes

Projected gradient ascent is known to satisfy no-external regret as a learning algorithm. However, recent empirical work shows that projected gradient ascent often finds the Nash equilibrium in settings beyond two-player zero-sum…

Computer Science and Game Theory · Computer Science 2025-06-05 Mete Şeref Ahunbay , Martin Bichler

We study stochastic effects on the lagging anchor dynamics, a reinforcement learning algorithm used to learn successful strategies in iterated games, which is known to converge to Nash points in the absence of noise. The dynamics is…

Adaptation and Self-Organizing Systems · Physics 2012-04-20 James B. T. Sanders , Tobias Galla , Jonathan Shapiro

In many settings agents participate in multiple different auctions that are not necessarily implemented simultaneously. Future opportunities affect strategic considerations of the players in each auction, introducing externalities.…

Computer Science and Game Theory · Computer Science 2011-12-30 Renato Paes Leme , Vasilis Syrgkanis , Eva Tardos

In many natural settings agents participate in multiple different auctions that are not simultaneous. In such auctions, future opportunities affect strategic considerations of the players. The goal of this paper is to develop a quantitative…

Computer Science and Game Theory · Computer Science 2012-06-22 Vasilis Syrgkanis , Eva Tardos

Auction-based recommender systems are prevalent in online advertising platforms, but they are typically optimized to allocate recommendation slots based on immediate expected return metrics, neglecting the downstream effects of…

Information Retrieval · Computer Science 2023-08-01 Ruiyang Xu , Jalaj Bhandari , Dmytro Korenkevych , Fan Liu , Yuchen He , Alex Nikulkov , Zheqing Zhu

Prediction is a well-studied machine learning task, and prediction algorithms are core ingredients in online products and services. Despite their centrality in the competition between online companies who offer prediction-based products,…

Computer Science and Game Theory · Computer Science 2019-05-08 Omer Ben-Porat , Moshe Tennenholtz

We present an extensive analysis of the key problem of learning optimal reserve prices for generalized second price auctions. We describe two algorithms for this task: one based on density estimation, and a novel algorithm benefiting from…

Machine Learning · Computer Science 2015-06-10 Mehryar Mohri , Andres Munoz Medina

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

Auctions are becoming an increasingly popular method for transacting business, especially over the Internet. This article presents a general approach to building autonomous bidding agents to bid in multiple simultaneous auctions for…

Artificial Intelligence · Computer Science 2011-06-28 J. A. Csirik , M. L. Littman , D. McAllester , R. E. Schapire , P. Stone

We study competitive dynamic pricing among multiple sellers, motivated by the rise of large-scale experimentation and algorithmic pricing in retail and online marketplaces. Sellers repeatedly set prices using simple learning rules and…

Computer Science and Game Theory · Computer Science 2026-05-25 Bar Light , Wenyu Wang

In a multi-unit market, a seller brings multiple units of a good and tries to sell them to a set of buyers that have monetary endowments. While a Walrasian equilibrium does not always exist in this model, natural relaxations of the concept…

Computer Science and Game Theory · Computer Science 2018-09-28 Simina Brânzei , Aris Filos-Ratsikas

Bidding in simultaneous auctions is challenging because an agent's value for a good in one auction may depend on the uncertain outcome of other auctions: the so-called exposure problem. Given the gap in understanding of general simultaneous…

Computer Science and Game Theory · Computer Science 2012-10-19 Michael P. Wellman , Eric Sodomka , Amy Greenwald

We provide the first analysis of (deferred acceptance) clock auctions in the learning-augmented framework. These auctions satisfy a unique list of appealing properties, including obvious strategyproofness, transparency, and unconditional…

Computer Science and Game Theory · Computer Science 2024-11-06 Vasilis Gkatzelis , Daniel Schoepflin , Xizhi Tan

We study whether large language models acting as autonomous bidders can tacitly collude by coordinating when to accept platform posted payouts in repeated Dutch auctions, without any communication. We present a minimal repeated auction…

Computer Science and Game Theory · Computer Science 2025-12-01 Sriram Tolety

Motivated by the scarcity of accurate payoff feedback in practical applications of game theory, we examine a class of learning dynamics where players adjust their choices based on past payoff observations that are subject to noise and…

Optimization and Control · Mathematics 2016-06-03 Mario Bravo , Panayotis Mertikopoulos

We consider a setting where $n$ buyers, with combinatorial preferences over $m$ items, and a seller, running a priority-based allocation mechanism, repeatedly interact. Our goal, from observing limited information about the results of these…

Computer Science and Game Theory · Computer Science 2014-08-29 Avrim Blum , Yishay Mansour , Jamie Morgenstern

We consider the question of whether collusion among bidders (a "bidding ring") can be supported in equilibrium of unrepeated first-price auctions. Unlike previous work on the topic such as that by McAfee and McMillan [1992] and Marshall and…

Computer Science and Game Theory · Computer Science 2016-08-31 Kevin Leyton-Brown , Moshe Tennenholtz , Navin Bhat , Yoav Shoham