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We use ideas from distributed computing and game theory to study dynamic and decentralized environments in which computational nodes, or decision makers, interact strategically and with limited information. In such environments, which arise…

Computer Science and Game Theory · Computer Science 2017-04-06 Aaron D. Jaggard , Neil Lutz , Michael Schapira , Rebecca N. Wright

This article investigates the optimal control problem with disturbance rejection for discrete-time multi-agent systems under cooperative and non-cooperative graphical games frameworks. Given the practical challenges of obtaining accurate…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Xinyang Wang , Martin Guay , Shimin Wang , Hongwei Zhang

We consider the problem of decentralized power allocation for competitive rate-maximization in a frequency-selective Gaussian interference channel under bounded channel uncertainty. We formulate a distribution-free robust framework for the…

Information Theory · Computer Science 2015-03-17 Amod J. G. Anandkumar , Animashree Anandkumar , Sangarapillai Lambotharan , Jonathon A. Chambers

Self-play is a technique for machine learning in multi-agent systems where a learning algorithm learns by interacting with copies of itself. Self-play is useful for generating large quantities of data for learning, but has the drawback that…

Computer Science and Game Theory · Computer Science 2023-11-30 Revan MacQueen , James R. Wright

We study the problem of finding Stackelberg equilibria in games with a massive number of players. So far, the only known game instances in which the problem is solved in polynomial time are some particular congestion games. However, a…

Computer Science and Game Theory · Computer Science 2019-05-31 Alberto Marchesi , Matteo Castiglioni , Nicola Gatti

This paper proposes a payoff perturbation technique for the Mirror Descent (MD) algorithm in games where the gradient of the payoff functions is monotone in the strategy profile space, potentially containing additive noise. The optimistic…

Computer Science and Game Theory · Computer Science 2024-06-25 Kenshi Abe , Kaito Ariu , Mitsuki Sakamoto , Atsushi Iwasaki

We study two-player zero-sum stochastic games, and propose a form of independent learning dynamics called Doubly Smoothed Best-Response dynamics, which integrates a discrete and doubly smoothed variant of the best-response dynamics into…

Computer Science and Game Theory · Computer Science 2023-03-07 Zaiwei Chen , Kaiqing Zhang , Eric Mazumdar , Asuman Ozdaglar , Adam Wierman

In stochastic games with incomplete information, the uncertainty is evoked by the lack of knowledge about a player's own and the other players' types, i.e. the utility function and the policy space, and also the inherent stochasticity of…

Machine Learning · Computer Science 2022-03-21 Hannes Eriksson , Debabrota Basu , Mina Alibeigi , Christos Dimitrakakis

Reinforcement learning agents in complex game environments often suffer from sparse rewards, training instability, and poor sample efficiency. This paper presents a hybrid training approach that combines offline imitation learning with…

Machine Learning · Computer Science 2025-09-19 Thomas Ackermann , Moritz Spang , Hamza A. A. Gardi

We examine the long-run behavior of multi-agent online learning in games that evolve over time. Specifically, we focus on a wide class of policies based on mirror descent, and we show that the induced sequence of play (a) converges to Nash…

Computer Science and Game Theory · Computer Science 2022-08-11 Benoit Duvocelle , Panayotis Mertikopoulos , Mathias Staudigl , Dries Vermeulen

We explore the behaviour emerging from learning agents repeatedly interacting strategically for a wide range of learning dynamics, including $Q$-learning, projected gradient, replicator and log-barrier dynamics. Going beyond the better…

Computer Science and Game Theory · Computer Science 2026-03-04 Galit Askenazi-Golan , Domenico Mergoni Cecchelli , Edward Plumb , Clemens Possnig

The aim of decentralized gradient descent (DGD) is to minimize a sum of $n$ functions held by interconnected agents. We study the stability of DGD in open contexts where agents can join or leave the system, resulting each time in the…

Optimization and Control · Mathematics 2020-09-14 Julien M. Hendrickx , Michael G. Rabbat

The literature available on disturbance decoupling (DD) of Boolean control network (BCN) is built on a restrictive notion of what constitutes as disturbance decoupling. The results available on necessary and sufficient conditions are of…

Systems and Control · Electrical Eng. & Systems 2019-08-15 S Sutavani , K Sonam , S Wagh , N Singh

Deep reinforcement learning has shown promising results on an abundance of robotic tasks in simulation, including visual navigation and manipulation. Prior work generally aims to build embodied agents that solve their assigned tasks as…

Robotics · Computer Science 2022-10-25 Tianwei Ni , Kiana Ehsani , Luca Weihs , Jordi Salvador

Dynamic difficulty adjustment ($DDA$) is a process of automatically changing a game difficulty for the optimization of user experience. It is a vital part of almost any modern game. Most existing DDA approaches concentrate on the experience…

Machine Learning · Computer Science 2021-06-08 Dvir Ben Or , Michael Kolomenkin , Gil Shabat

We investigate a novel finite-horizon linear-quadratic (LQ) feedback dynamic potential game with a priori unknown cost matrices played between two players. The cost matrices are revealed to the players sequentially, with the potential for…

Optimization and Control · Mathematics 2025-08-05 Yitian Chen , Timothy L. Molloy , Iman Shames

In this paper, we analyze linear-quadratic stochastic differential games with a continuum of players interacting through graphon aggregates, each state being subject to idiosyncratic Brownian shocks. The major technical issue is the joint…

Probability · Mathematics 2021-05-27 Alexander Aurell , Rene Carmona , Mathieu Lauriere

We employ the Deep Q-Learning algorithm with Experience Replay to train an agent capable of achieving a high-level of play in the L-Game while self-learning from low-dimensional states. We also employ variable batch size for training in…

Machine Learning · Computer Science 2018-02-20 Petros Giannakopoulos , Yannis Cotronis

This paper investigates an indefinite linear-quadratic partially observed mean-field game with common noise, incorporating both state-average and control-average effects. In our model, each agent's state is observed through both individual…

Optimization and Control · Mathematics 2025-08-05 Tian Chen , Tianyang Nie , Zhen Wu

A protocol for considering decoherence in quantum games is presented. Results for two-player, two-strategy quantum games subject to decoherence are derived and some specific examples are given. Decoherence in other types of quantum games is…

Quantum Physics · Physics 2009-11-10 Adrian P. Flitney , Derek Abbott
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