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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

Zero-determinant strategies are memory-one strategies in repeated games which unilaterally enforce linear relations between expected payoffs of players. Recently, the concept of zero-determinant strategies was extended to the class of…

Optimization and Control · Mathematics 2022-09-07 Masahiko Ueda

Hindsight rationality is an approach to playing general-sum games that prescribes no-regret learning dynamics for individual agents with respect to a set of deviations, and further describes jointly rational behavior among multiple agents…

Computer Science and Game Theory · Computer Science 2022-06-24 Dustin Morrill , Ryan D'Orazio , Marc Lanctot , James R. Wright , Michael Bowling , Amy Greenwald

In the standard setting of approachability there are two players and a target set. The players play repeatedly a known vector-valued game where the first player wants to have the average vector-valued payoff converge to the target set which…

Machine Learning · Statistics 2016-06-20 Shie Mannor , Vianney Perchet , Gilles Stoltz

Zero-determinant strategies are a class of strategies in repeated games which unilaterally control payoffs. Zero-determinant strategies have attracted much attention in studies of social dilemma, particularly in the context of evolution of…

Statistical Mechanics · Physics 2024-11-11 Masahiko Ueda

We study the quality of outcomes in repeated games when the population of players is dynamically changing and participants use learning algorithms to adapt to the changing environment. Game theory classically considers Nash equilibria of…

Computer Science and Game Theory · Computer Science 2020-05-25 Thodoris Lykouris , Vasilis Syrgkanis , Eva Tardos

This paper considers information sharing in a multi-player repeated game. Every round, each player observes a subset of components of a random vector and then takes a control action. The utility earned by each player depends on the full…

Optimization and Control · Mathematics 2014-12-31 Michael J. Neely

A repeated game is an effective tool to model interactions and conflicts for players aiming to achieve their objectives in a long-term basis. Contrary to static noncooperative games that model an interaction among players in only one…

Computer Science and Game Theory · Computer Science 2015-01-14 Dinh Thai Hoang , Xiao Lu , Dusit Niyato , Ping Wang , Zhu Han

Incentive design is a popular framework for guiding agents' learning dynamics towards desired outcomes by providing additional payments beyond intrinsic rewards. However, most existing works focus on a finite, small set of agents or assume…

Machine Learning · Computer Science 2025-04-16 Leo Widmer , Jiawei Huang , Niao He

Auctions with partially-revealed information about items are broadly employed in real-world applications, but the underlying mechanisms have limited theoretical support. In this work, we study a machine learning formulation of these types…

Machine Learning · Computer Science 2022-07-06 Wenshuo Guo , Michael I. Jordan , Ellen Vitercik

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

Games are natural models for multi-agent machine learning settings, such as generative adversarial networks (GANs). The desirable outcomes from algorithmic interactions in these games are encoded as game theoretic equilibrium concepts, e.g.…

Computer Science and Game Theory · Computer Science 2022-02-25 Gabriel P. Andrade , Rafael Frongillo , Georgios Piliouras

We consider online learning in multi-player smooth monotone games. Existing algorithms have limitations such as (1) being only applicable to strongly monotone games; (2) lacking the no-regret guarantee; (3) having only asymptotic or slow…

Machine Learning · Computer Science 2023-09-06 Yang Cai , Weiqiang Zheng

Discounted-sum games provide a formal model for the study of reinforcement learning, where the agent is enticed to get rewards early since later rewards are discounted. When the agent interacts with the environment, she may regret her…

Computer Science and Game Theory · Computer Science 2018-11-20 Michaël Cadilhac , Guillermo A. Pérez , Marie van den Bogaard

Large language models (LLMs) have been increasingly employed for (interactive) decision-making, via the development of LLM-based autonomous agents. Despite their emerging successes, the performance of LLM agents in decision-making has not…

Machine Learning · Computer Science 2025-10-16 Chanwoo Park , Xiangyu Liu , Asuman Ozdaglar , Kaiqing Zhang

Recently the online advertising market has exhibited a gradual shift from second-price auctions to first-price auctions. Although there has been a line of works concerning online bidding strategies in first-price auctions, it still remains…

Computer Science and Game Theory · Computer Science 2022-05-31 Rui Ai , Chang Wang , Chenchen Li , Jinshan Zhang , Wenhan Huang , Xiaotie Deng

We consider regret minimization in repeated games with a very large number of actions. Such games are inherent in the setting of AI Safety via Debate \cite{irving2018ai}, and more generally games whose actions are language-based. Existing…

Computer Science and Game Theory · Computer Science 2024-07-12 Xinyi Chen , Angelica Chen , Dean Foster , Elad Hazan

We consider a repeated sequential game between a learner, who plays first, and an opponent who responds to the chosen action. We seek to design strategies for the learner to successfully interact with the opponent. While most previous…

Machine Learning · Computer Science 2020-07-13 Pier Giuseppe Sessa , Ilija Bogunovic , Maryam Kamgarpour , Andreas Krause

Purpose: We propose a model to present a possible mechanism for obtaining sizeable behavioural structures by simulating an agent based on the evolutionary public good game with available social learning. Methods: The model considered a…

Computer Science and Game Theory · Computer Science 2019-10-29 Chulwook Park

Reward design is a critical part of the application of reinforcement learning, the performance of which strongly depends on how well the reward signal frames the goal of the designer and how well the signal assesses progress in reaching…

Machine Learning · Computer Science 2022-08-01 Yixiang Wang , Yujing Hu , Feng Wu , Yingfeng Chen
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