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We introduce a two-player model of reinforcement learning with memory. Past actions of an iterated game are stored in a memory and used to determine player's next action. To examine the behaviour of the model some approximate methods are…

Statistical Mechanics · Physics 2009-11-13 Adam Lipowski , Krzysztof Gontarek , Marcel Ausloos

This paper presents a regulation-aware motion planning framework for autonomous racing scenarios. Each agent solves a Regulation-Compliant Model Predictive Control problem, where racing rules - such as right-of-way and collision avoidance…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Francesco Prignoli , Francesco Borrelli , Paolo Falcone , Mark Pustilnik

This paper introduces a novel framework for modeling interacting humans in a multi-stage game. This "iterated semi network-form game" framework has the following desirable characteristics: (1) Bounded rational players, (2) strategic players…

Multiagent Systems · Computer Science 2012-07-05 Ritchie Lee , David H. Wolpert , James Bono , Scott Backhaus , Russell Bent , Brendan Tracey

As AI technology advances, research in playing text-based games with agents has becomeprogressively popular. In this paper, a novel approach to agent design and agent learning ispresented with the context of reinforcement learning. A model…

Computation and Language · Computer Science 2025-09-04 Haonan Wang , Mingjia Zhao , Junfeng Sun , Wei Liu

Designing cyber defense systems to account for cognitive biases in human decision making has demonstrated significant success in improving performance against human attackers. However, much of the attention in this area has focused on…

Artificial Intelligence · Computer Science 2025-05-16 Tailia Malloy , Cleotilde Gonzalez

A fortification game (FG) is a three-level, two-player Stackelberg game, also known as defender-attacker-defender game, in which at the uppermost level, the defender selects some assets to be protected from potential malicious attacks. At…

Optimization and Control · Mathematics 2023-03-24 Markus Leitner , Ivana Ljubić , Michele Monaci , Markus Sinnl , Kübra Tanınmış

Stochastic differential games have been used extensively to model agents' competitions in Finance, for instance, in P2P lending platforms from the Fintech industry, the banking system for systemic risk, and insurance markets. The recently…

Optimization and Control · Mathematics 2021-03-23 Jiequn Han , Ruimeng Hu , Jihao Long

It is challenging for a security analyst to detect or defend against cyber-attacks. Moreover, traditional defense deployment methods require the security analyst to manually enforce the defenses in the presence of uncertainties about the…

Cryptography and Security · Computer Science 2022-07-14 Xiaofan Zhou , Simon Yusuf Enoch , Dong Seong Kim

Games of timing aim to determine the optimal defense against a strategic attacker who has the technical capability to breach a system in a stealthy fashion. Key questions arising are when the attack takes place, and when a defensive move…

Cryptography and Security · Computer Science 2017-06-08 Sadegh Farhang , Jens Grossklags

This paper studies a variant of the multi-player reach-avoid game played between intruders and defenders with applications to perimeter defense. The intruder team tries to score by sending as many intruders as possible to the target area,…

Systems and Control · Electrical Eng. & Systems 2020-06-05 Daigo Shishika , James Paulos , Vijay Kumar

This paper studies the sensor placement problem in a networked control system for improving its security against cyber-physical attacks. The problem is formulated as a zero-sum game between an attacker and a detector. The attacker's…

Optimization and Control · Mathematics 2018-09-25 Mohammad Pirani , Ehsan Nekouei , Henrik Sandberg , Karl Henrik Johansson

This paper investigates the strategic concealment of environment representations used by players in competitive games. We consider a defense scenario in which one player (the Defender) seeks to infer and exploit the representation used by…

Multiagent Systems · Computer Science 2026-03-04 Yue Guan , Dipankar Maity , Panagiotis Tsiotras

Stochastic games have become a prevalent framework for studying long-term multi-agent interactions, especially in the context of multi-agent reinforcement learning. In this work, we comprehensively investigate the concept of constant-memory…

Computer Science and Game Theory · Computer Science 2025-10-16 Fengming Zhu , Fangzhen Lin

This paper proposes a game-theoretic method to address the problem of optimal detector placement in a networked control system under cyber-attacks. The networked control system is composed of interconnected agents where each agent is…

Systems and Control · Electrical Eng. & Systems 2023-12-05 Anh Tung Nguyen , Sribalaji C. Anand , André M. H. Teixeira , Alexander Medvedev

Constrained Markov games offer a formal mathematical framework for modeling multi-agent reinforcement learning problems where the behavior of the agents is subject to constraints. In this work, we focus on the recently introduced class of…

Machine Learning · Computer Science 2024-02-29 Philip Jordan , Anas Barakat , Niao He

Patrolling is one of the central problems in operational security. Formally, a patrolling problem is specified by a set $U$ of nodes (admissible defender's positions), a set $T \subseteq U$ of vulnerable targets, an admissible defender's…

Computer Science and Game Theory · Computer Science 2016-08-08 Tomáš Brázdil , Petr Hliněný , Antonín Kučera , Vojtěch Řehák , Matúš Abaffy

We present insights and empirical results from an extensive numerical study of the evolutionary dynamics of the iterated prisoner's dilemma. Fixation probabilities for Moran processes are obtained for all pairs of 164 different strategies…

Computer Science and Game Theory · Computer Science 2020-02-11 Vincent Knight , Marc Harper , Nikoleta E. Glynatsi , Owen Campbell

Safe reinforcement learning is a promising path toward applying reinforcement learning algorithms to real-world problems, where suboptimal behaviors may lead to actual negative consequences. In this work, we focus on the setting where…

Machine Learning · Computer Science 2022-02-17 Garrett Thomas , Yuping Luo , Tengyu Ma

Reinforcement learning algorithms are generally designed to maximize the expected return across a population. However, a policy that is optimal on average may be suboptimal for certain individuals, leading to potential safety concerns. To…

Machine Learning · Statistics 2026-05-26 Jingyi Li , Peng Wu , Chengchun Shi

Most of the current game-theoretic demand-side management methods focus primarily on the scheduling of home appliances, and the related numerical experiments are analyzed under various scenarios to achieve the corresponding Nash-equilibrium…

Computers and Society · Computer Science 2019-02-26 Jun Hao
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