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This paper studies a variant of two-player zero-sum matrix games, where, at each timestep, the row player selects row $i$, the column player selects column $j$, and the row player receives a noisy reward with expected value $A_{i,j}$, along…

Machine Learning · Computer Science 2025-05-27 Arnab Maiti , Kevin Jamieson , Lillian J. Ratliff

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

The literature on game-theoretic equilibrium finding predominantly focuses on single games or their repeated play. Nevertheless, numerous real-world scenarios feature playing a game sampled from a distribution of similar, but not identical…

Computer Science and Game Theory · Computer Science 2024-02-21 David Sychrovský , Michal Šustr , Elnaz Davoodi , Michael Bowling , Marc Lanctot , Martin Schmid

Classic no-regret multi-armed bandit algorithms, including the Upper Confidence Bound (UCB), Hedge, and EXP3, are inherently unfair by design. Their unfairness stems from their objective of playing the most rewarding arm as frequently as…

Machine Learning · Computer Science 2024-05-14 Abhishek Sinha

This paper considers the distributed online bandit optimization problem with nonconvex loss functions over a time-varying digraph. This problem can be viewed as a repeated game between a group of online players and an adversary. At each…

Machine Learning · Computer Science 2024-09-25 Youqing Hua , Shuai Liu , Yiguang Hong , Karl Henrik Johansson , Guangchen Wang

We investigate the interplay between passivity, no-regret, and convergence in contractive games for various learning dynamic models and their higher-order variants. Our setting is continuous time. Building on prior work for replicator…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Hassan Abdelraouf , Georgios Piliouras , Jeff S. Shamma

The standard framework of online bidding algorithm design assumes that the seller commits himself to faithfully implementing the rules of the adopted auction. However, the seller may attempt to cheat in execution to increase his revenue if…

Computer Science and Game Theory · Computer Science 2023-11-28 Qian Wang , Xuanzhi Xia , Zongjun Yang , Xiaotie Deng , Yuqing Kong , Zhilin Zhang , Liang Wang , Chuan Yu , Jian Xu , Bo Zheng

We analyze the performance of heterogeneous learning agents in asset markets with stochastic payoffs. Our main focus is on comparing Bayesian learners and no-regret learners who compete in markets and identifying the conditions under which…

Computer Science and Game Theory · Computer Science 2026-05-04 David Easley , Yoav Kolumbus , Eva Tardos

We study the problem of online learning in adversarial bandit problems under a partial observability model called off-policy feedback. In this sequential decision making problem, the learner cannot directly observe its rewards, but instead…

Machine Learning · Computer Science 2022-07-20 Germano Gabbianelli , Matteo Papini , Gergely Neu

Making an informed decision -- for example, when choosing a career or housing -- requires knowledge about the available options. Such knowledge is generally acquired through costly trial and error, but this learning process can be disrupted…

Machine Learning · Computer Science 2022-04-15 Sarah H. Cen , Devavrat Shah

We study revenue optimization learning algorithms for repeated second-price auctions with reserve where a seller interacts with multiple strategic bidders each of which holds a fixed private valuation for a good and seeks to maximize his…

Computer Science and Game Theory · Computer Science 2019-06-25 Alexey Drutsa

In this paper, we investigate the existence of online learning algorithms with bandit feedback that simultaneously guarantee $O(1)$ regret compared to a given comparator strategy, and $\tilde{O}(\sqrt{T})$ regret compared to any fixed…

Machine Learning · Computer Science 2025-06-05 Adrian Müller , Jon Schneider , Stratis Skoulakis , Luca Viano , Volkan Cevher

This paper studies multi-stage systems with end-to-end bandit feedback. In such systems, each job needs to go through multiple stages, each managed by a different agent, before generating an outcome. Each agent can only control its own…

Machine Learning · Computer Science 2024-08-20 I-Hong Hou

This paper investigates the challenge of learning in black-box games, where the underlying utility function is unknown to any of the agents. While there is an extensive body of literature on the theoretical analysis of algorithms for…

Machine Learning · Computer Science 2024-11-15 Minbiao Han , Fengxue Zhang , Yuxin Chen

In this paper, spectrum access in cognitive radio networks is modeled as a repeated auction game subject to monitoring and entry costs. For secondary users, sensing costs are incurred as the result of primary users' activity. Furthermore,…

Information Theory · Computer Science 2009-10-14 Zhu Han , Rong Zheng , Vincent H. Poor

We explore the striking mathematical connections that exist between market scoring rules, cost function based prediction markets, and no-regret learning. We show that any cost function based prediction market can be interpreted as an…

Artificial Intelligence · Computer Science 2010-03-02 Yiling Chen , Jennifer Wortman Vaughan

We address the problem of maximizing Gain from Trade (GFT) in repeated buyer-seller exchanges subject to global budget balance constraints. While this problem is well-understood in purely adversarial and stochastic settings, these…

Computer Science and Game Theory · Computer Science 2026-05-12 Anna Lunghi , Matteo Castiglioni , Alberto Marchesi

We present and study a partial-information model of online learning, where a decision maker repeatedly chooses from a finite set of actions, and observes some subset of the associated losses. This naturally models several situations where…

Machine Learning · Computer Science 2014-10-01 Noga Alon , Nicolò Cesa-Bianchi , Claudio Gentile , Shie Mannor , Yishay Mansour , Ohad Shamir

We introduce a new numerical framework to learn optimal bidding strategies in repeated auctions when the seller uses past bids to optimize her mechanism. Crucially, we do not assume that the bidders know what optimization mechanism is used…

Computer Science and Game Theory · Computer Science 2021-02-09 Thomas Nedelec , Jules Baudet , Vianney Perchet , Noureddine El Karoui

We study how a budget-constrained bidder should learn to adaptively bid in repeated first-price auctions to maximize her cumulative payoff. This problem arose due to an industry-wide shift from second-price auctions to first-price auctions…

Computer Science and Game Theory · Computer Science 2026-04-14 Yige Wang , Jiashuo Jiang
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