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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

As an important psychological and social experiment, the Iterated Prisoner's Dilemma (IPD) treats the choice to cooperate or defect as an atomic action. We propose to study the behaviors of online learning algorithms in the Iterated…

Computer Science and Game Theory · Computer Science 2022-08-30 Baihan Lin , Djallel Bouneffouf , Guillermo Cecchi

Can agents be trained to answer difficult mathematical questions by playing a game? We consider the integer feasibility problem, a challenge of deciding whether a system of linear equations and inequalities has a solution with integer…

Machine Learning · Computer Science 2022-08-26 Yue Wu , Jesús A. De Loera

Despite the considerable success enjoyed by machine learning techniques in practice, numerous studies demonstrated that many approaches are vulnerable to attacks. An important class of such attacks involves adversaries changing features at…

Machine Learning · Computer Science 2018-06-07 Liang Tong , Sixie Yu , Scott Alfeld , Yevgeniy Vorobeychik

We study learning in a dynamically evolving environment modeled as a Markov game between a learner and a strategic opponent that can adapt to the learner's strategies. While most existing works in Markov games focus on external regret as…

Machine Learning · Computer Science 2024-12-11 Thanh Nguyen-Tang , Raman Arora

We propose a new framework for imitation learning -- treating imitation as a two-player ranking-based game between a policy and a reward. In this game, the reward agent learns to satisfy pairwise performance rankings between behaviors,…

Machine Learning · Computer Science 2023-01-18 Harshit Sikchi , Akanksha Saran , Wonjoon Goo , Scott Niekum

We consider the problem of prediction by a machine learning algorithm, called learner, within an adversarial learning setting. The learner's task is to correctly predict the class of data passed to it as a query. However, along with queries…

Machine Learning · Computer Science 2020-02-11 Prithviraj Dasgupta , Joseph B. Collins , Michael McCarrick

Approachability has become a standard tool in analyzing earning algorithms in the adversarial online learning setup. We develop a variant of approachability for games where there is ambiguity in the obtained reward that belongs to a set,…

Statistics Theory · Mathematics 2012-02-17 Shie Mannor , Vianney Perchet , Gilles Stoltz

This work considers a repeated principal-agent bandit game, where the principal can only interact with her environment through the agent. The principal and the agent have misaligned objectives and the choice of action is only left to the…

Iterated Prisoner's Dilemma(IPD) is a well-known benchmark for studying the long term behaviors of rational agents, such as how cooperation can emerge among selfish and unrelated agents that need to co-exist over long term. Many well-known…

Computer Science and Game Theory · Computer Science 2017-12-19 Shiheng Wang , Fangzhen Lin

Pursuit and evasion conflicts represent challenging problems with important applications in aerospace and robotics. In pursuit-evasion problems, synthesis of intelligent actions must consider the adversary's potential strategies.…

Optimization and Control · Mathematics 2020-03-12 Isaac E. Weintraub , Meir Pachter , Eloy Garcia

We present tournament results and several powerful strategies for the Iterated Prisoner's Dilemma created using reinforcement learning techniques (evolutionary and particle swarm algorithms). These strategies are trained to perform well…

Computer Science and Game Theory · Computer Science 2018-02-07 Marc Harper , Vincent Knight , Martin Jones , Georgios Koutsovoulos , Nikoleta E. Glynatsi , Owen Campbell

A large body of research is currently investigating on the connection between machine learning and game theory. In this work, game theory notions are injected into a preference learning framework. Specifically, a preference learning problem…

Machine Learning · Computer Science 2018-12-20 Mirko Polato , Fabio Aiolli

Adversarial machine learning, i.e., increasing the robustness of machine learning algorithms against so-called adversarial examples, is now an established field. Yet, newly proposed methods are evaluated and compared under unrealistic…

Machine Learning · Computer Science 2021-09-28 Maximilian Samsinger , Florian Merkle , Pascal Schöttle , Tomas Pevny

Self-play post-training methods has emerged as an effective approach for finetuning large language models and turn the weak language model into strong language model without preference data. However, the theoretical foundations for…

Machine Learning · Computer Science 2026-02-03 Shangzhe Li , Xuchao Zhang , Chetan Bansal , Weitong Zhang

When learning to play an imperfect information game, it is often easier to first start with the basic mechanics of the game rules. For example, one can play several example rounds with private cards revealed to all players to better…

Computer Science and Game Theory · Computer Science 2025-05-27 Benjamin Heymann , Marc Lanctot

We consider the question of learnability of distribution classes in the presence of adaptive adversaries -- that is, adversaries capable of intercepting the samples requested by a learner and applying manipulations with full knowledge of…

Machine Learning · Computer Science 2025-09-08 Tosca Lechner , Alex Bie , Gautam Kamath

Imitation is simple behavior which uses successful actions of others in order to deal with one's own problems. Because success of imitation generally depends on whether profit of an imitating agent coincides with those of other agents or…

Physics and Society · Physics 2023-01-23 Masahiko Ueda

Neural networks are known to be vulnerable to adversarial examples: inputs that are close to natural inputs but classified incorrectly. In order to better understand the space of adversarial examples, we survey ten recent proposals that are…

Machine Learning · Computer Science 2017-11-02 Nicholas Carlini , David Wagner

Financial markets investors are involved in many games -- they must interact with other agents to achieve their goals. Among them are those directly connected with their activity on markets but one cannot neglect other aspects that…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Edward W. Piotrowski , Jan Sladkowski , Anna Szczypinska
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