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Infinitely repeated games support equilibrium concepts beyond those present in one-shot games (e.g., cooperation in the prisoner's dilemma). Nonetheless, repeated games fail to capture our real-world intuition for settings with many…

Computer Science and Game Theory · Computer Science 2025-05-22 Henry Fleischmann , Kiriaki Fragkia , Ratip Emin Berker

We develop an algorithmic framework for solving convex optimization problems using no-regret game dynamics. By converting the problem of minimizing a convex function into an auxiliary problem of solving a min-max game in a sequential…

Machine Learning · Computer Science 2023-02-21 Jun-Kun Wang , Jacob Abernethy , Kfir Y. Levy

Regret-based algorithms are highly efficient at finding approximate Nash equilibria in sequential games such as poker games. However, most regret-based algorithms, including counterfactual regret minimization (CFR) and its variants, rely on…

Machine Learning · Computer Science 2021-10-28 Chung-Wei Lee , Christian Kroer , Haipeng Luo

We investigate the problem of online learning, which has gained significant attention in recent years due to its applicability in a wide range of fields from machine learning to game theory. Specifically, we study the online optimization of…

Machine Learning · Computer Science 2021-09-29 Kaan Gokcesu , Hakan Gokcesu

This paper considers no-regret learning for repeated continuous-kernel games with lossy bandit feedback. Since it is difficult to give the explicit model of the utility functions in dynamic environments, the players' action can only be…

Machine Learning · Computer Science 2022-05-17 Wenting Liu , Jinlong Lei , Peng Yi , Yiguang Hong

We study online decision making problems under resource constraints, where both reward and cost functions are drawn from distributions that may change adversarially over time. We focus on two canonical settings: $(i)$ online resource…

Machine Learning · Computer Science 2025-06-19 Francesco Emanuele Stradi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti , Christian Kroer

We consider the cooperative multi-player version of the stochastic multi-armed bandit problem. We study the regime where the players cannot communicate but have access to shared randomness. In prior work by the first two authors, a strategy…

Machine Learning · Computer Science 2020-11-10 Sébastien Bubeck , Thomas Budzinski , Mark Sellke

Recent breakthrough results by Dagan, Daskalakis, Fishelson and Golowich [2023] and Peng and Rubinstein [2023] established an efficient algorithm attaining at most $\epsilon$ swap regret over extensive-form strategy spaces of dimension $N$…

Computer Science and Game Theory · Computer Science 2025-02-14 Brian Hu Zhang , Ioannis Anagnostides , Gabriele Farina , Tuomas Sandholm

Realtime environments change even as agents perform action inference and learning, thus requiring high interaction frequencies to effectively minimize regret. However, recent advances in machine learning involve larger neural networks with…

Machine Learning · Computer Science 2024-12-20 Matthew Riemer , Gopeshh Subbaraj , Glen Berseth , Irina Rish

We consider the problem of online multi-agent Nash social welfare (NSW) maximization. While previous works of Hossain et al. [2021], Jones et al. [2023] study similar problems in stochastic multi-agent multi-armed bandits and show that…

Machine Learning · Computer Science 2024-06-03 Mengxiao Zhang , Ramiro Deo-Campo Vuong , Haipeng Luo

We study the problem of training a principal in a multi-agent general-sum game using reinforcement learning (RL). Learning a robust principal policy requires anticipating the worst possible strategic responses of other agents, which is…

Machine Learning · Computer Science 2022-12-21 Eric Zhao , Alexander R. Trott , Caiming Xiong , Stephan Zheng

We suggest a general method for inferring players' values from their actions in repeated games. The method extends and improves upon the recent suggestion of (Nekipelov et al., EC 2015) and is based on the assumption that players are more…

Computer Science and Game Theory · Computer Science 2017-02-17 Noam Nisan , Gali Noti

We relate the strategy sets that a player ends up with after refining his own strategies according to two very different models of rationality: namely, utility maximization and regret minimization.

Computer Science and Game Theory · Computer Science 2014-03-26 Alessandro Chiesa , Silvio Micali , Zeyuan Allen Zhu

In this paper we propose a novel experimental design-based algorithm to minimize regret in online stochastic linear and combinatorial bandits. While existing literature tends to focus on optimism-based algorithms--which have been shown to…

Machine Learning · Computer Science 2021-03-02 Andrew Wagenmaker , Julian Katz-Samuels , Kevin Jamieson

Understanding the behavior of no-regret dynamics in general $N$-player games is a fundamental question in online learning and game theory. A folk result in the field states that, in finite games, the empirical frequency of play under…

Computer Science and Game Theory · Computer Science 2020-10-21 Lampros Flokas , Emmanouil-Vasileios Vlatakis-Gkaragkounis , Thanasis Lianeas , Panayotis Mertikopoulos , Georgios Piliouras

We study the problem of determining an effective exploration strategy in static and non-linear optimization problems, which depend on an unknown scalar parameter to be learned from online collected noisy data. An optimal trade-off between…

Optimization and Control · Mathematics 2024-09-13 Ying Wang , Mirko Pasquini , Kévin Colin , Håkan Hjalmarsson

In this tutorial article, we give an overview of new challenges and representative results on distributed no-regret learning in multi-agent systems modeled as repeated unknown games. Four emerging game characteristics---dynamicity,…

Computer Science and Game Theory · Computer Science 2020-02-24 Xiao Xu , Qing Zhao

In the bandits with knapsacks framework (BwK) the learner has $m$ resource-consumption (packing) constraints. We focus on the generalization of BwK in which the learner has a set of general long-term constraints. The goal of the learner is…

Machine Learning · Computer Science 2024-05-13 Martino Bernasconi , Matteo Castiglioni , Andrea Celli

In repeated games, strategies are often evaluated by their ability to guarantee the performance of the single best action that is selected in hindsight, a property referred to as \emph{Hannan consistency}, or \emph{no-regret}. However, the…

Computer Science and Game Theory · Computer Science 2025-01-24 Ludovico Crippa , Yonatan Gur , Bar Light

Non-ergodic convergence of learning dynamics in games is widely studied recently because of its importance in both theory and practice. Recent work (Cai et al., 2024) showed that a broad class of learning dynamics, including Optimistic…

Machine Learning · Computer Science 2025-03-05 Yang Cai , Gabriele Farina , Julien Grand-Clément , Christian Kroer , Chung-Wei Lee , Haipeng Luo , Weiqiang Zheng
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