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In this letter, we deal with evolutionary game theoretic learning processes for population games on networks with dynamically evolving communities. Specifically, we propose a novel mathematical framework in which a deterministic,…

社会与信息网络 · 计算机科学 2022-03-02 Alain Govaert , Lorenzo Zino , Emma Tegling

The theory of learning in games has extensively studied situations where agents respond dynamically to each other by optimizing a fixed utility function. However, in real situations, the strategic environment varies as a result of past…

计算机科学与博弈论 · 计算机科学 2022-07-15 Brandon C. Collins , Shouhuai Xu , Philip N. Brown

Design and control of autonomous systems that operate in uncertain or adversarial environments can be facilitated by formal modelling and analysis. Probabilistic model checking is a technique to automatically verify, for a given temporal…

计算机科学中的逻辑 · 计算机科学 2021-11-23 Marta Kwiatkowska , Gethin Norman , David Parker

With evolutionary game theory, mathematicians, physicists and theoretical biologists usually show us beautiful figures of population dynamic patterns. 2x2 game (matching pennies game) is one of the classical cases. In this letter, we report…

适应与自组织系统 · 物理学 2016-08-03 Zhijian Wang

This article studies the kinetic dynamics of the rock-paper-scissors binary game. We first prove existence and uniqueness of the solution of the kinetic equation and subsequently we prove the rigorous derivation of the quasi-invariant limit…

偏微分方程分析 · 数学 2020-03-17 Nastassia Duteil , Francesco Salvarani

We report on new stability conditions for evolutionary dynamics in the context of population games. We adhere to the prevailing framework consisting of many agents, grouped into populations, that interact noncooperatively by selecting…

种群与进化 · 定量生物学 2021-07-08 Semih Kara , Nuno C. Martins

Game development is an interdisciplinary concept that embraces software engineering, business, management, and artistic disciplines. This research facilitates a better understanding of the business dimension of digital games. The main…

计算机与社会 · 计算机科学 2015-11-16 Saiqa Aleem , Luiz Fernando Capretz , Faheem Ahmed

The emergence of complex structures in the systems governed by a simple set of rules is among the most fascinating aspects of Nature. The particularly powerful and versatile model suitable for investigating this phenomenon is provided by…

适应与自组织系统 · 物理学 2023-10-11 Jarosław Adam Miszczak

Learning-based control methods typically assume stationary system dynamics, an assumption often violated in real-world systems due to drift, wear, or changing operating conditions. We study reinforcement learning for control under…

机器学习 · 计算机科学 2026-04-03 Klemens Iten , Bruce Lee , Chenhao Li , Lenart Treven , Andreas Krause , Bhavya Sukhija

In this paper, we focus on studying the passivity properties of different versions of replicator dynamics (RD). RD is an important class of evolutionary dynamics in evolutionary game theory. Evolutionary dynamics describe how the population…

最优化与控制 · 数学 2018-12-19 Mohamed Mabrok

This study attempts to provide a better understanding of the user dimension as a factor in software game success. It focuses mainly on an empirical investigation of the effect of user factors on the software game development process and…

软件工程 · 计算机科学 2021-10-11 Saiqa Aleem , Luiz Fernando Capretz , Faheem Ahmed , Shuib Basri

We study a class of evolutionary game dynamics defined by balancing a gain determined by the game's payoffs against a cost of motion that captures the difficulty with which the population moves between states. Costs of motion are…

最优化与控制 · 数学 2018-04-12 Panayotis Mertikopoulos , WIlliam H. Sandholm

Development of several alternative mathematical models for the biological system in question and discrimination between such models using experimental data is the best way to robust conclusions. Models which challenge existing theories are…

定量方法 · 定量生物学 2016-02-01 Vitaly V. Ganusov

We discuss a general method of model selection from experimentally recorded time-trace data. This method can be used to distinguish between quantum and classical dynamical models. It can be used in post-selection as well as for real-time…

We study a model ecosystem by means of dynamical techniques from disordered systems theory. The model describes a set of species subject to competitive interactions through a background of resources, which they feed upon. Additionally…

种群与进化 · 定量生物学 2009-11-13 Yoshimi Yoshino , Tobias Galla , Kei Tokita

What does it mean to fully understand the behavior of a network of adaptive agents? The golden standard typically is the behavior of learning dynamics in potential games, where many evolutionary dynamics, e.g., replicator, are known to…

计算机科学与博弈论 · 计算机科学 2016-10-04 Ioannis Panageas , Georgios Piliouras

In this work, we develop a graphical model to capture team dynamics. We analyze the model and show how to learn its parameters from data. Using our model we study the phenomenon of team collapse from a computational perspective. We use…

物理与社会 · 物理学 2024-02-19 Iasonas Nikolaou , Konstantinos Pelechrinis , Evimaria Terzi

The purpose of this article is to construct a toolbox, in Dynamical Systems, to support the idea that ``whenever we can prove a limit theorem in the classical sense for a dynamical system, we can prove a suitable almost-sure version based…

动力系统 · 数学 2007-05-23 J-R Chazottes , S Gouezel

We argue for the use of active learning methods for player modelling. In active learning, the learning algorithm chooses where to sample the search space so as to optimise learning progress. We hypothesise that player modelling based on…

机器学习 · 计算机科学 2013-12-11 Julian Togelius , Noor Shaker , Georgios N. Yannakakis

Game theory is the standard tool used to model strategic interactions in evolutionary biology and social science. Traditional game theory studies the equilibria of simple games. But is traditional game theory applicable if the game is…

混沌动力学 · 物理学 2011-09-22 Tobias Galla , J. Doyne Farmer