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Recent work has considered natural variations of the multi-armed bandit problem, where the reward distribution of each arm is a special function of the time passed since its last pulling. In this direction, a simple (yet widely applicable)…

Machine Learning · Computer Science 2021-05-25 Alexia Atsidakou , Orestis Papadigenopoulos , Soumya Basu , Constantine Caramanis , Sanjay Shakkottai

This paper explores the Coevolutionary Optional Prisoner's Dilemma (COPD) game, which is a simple model to coevolve game strategy and link weights of agents playing the Optional Prisoner's Dilemma game. We consider a population of agents…

Computer Science and Game Theory · Computer Science 2018-11-27 Marcos Cardinot , Colm O'Riordan , Josephine Griffith

Here we present an agent-based model where agents interact with other agents by playing a hybrid of dictator and ultimatum games in a co-evolving social network. The basic assumption about the behaviour of the agents in both games is that…

Physics and Society · Physics 2020-08-20 Jan E. Snellman , Rafael Barrio , Kimmo Kaski

The ability to form complex plans based on raw visual input is a litmus test for current capabilities of artificial intelligence, as it requires a seamless combination of visual processing and abstract algorithmic execution, two…

Machine Learning · Computer Science 2022-03-21 Marco Bagatella , Mirek Olšák , Michal Rolínek , Georg Martius

Dynamical properties of numerically approximated discrete systems may become inconsistent with those of the corresponding continuous-time system. We present a qualitative analysis of the dynamical properties of two species Lotka-Volterra…

Dynamical Systems · Mathematics 2023-03-03 Shamika P. Kekulthotuwage Don , Kevin Burrage , Kate J. Helmstedt , Pamela M. Burrage

An Adversarial Swarm model consists of two swarms that are interacting with each other in a competing manner. In the present study, an agent-based Adversarial swarm model is developed comprising of two competing swarms, the Attackers and…

Adaptation and Self-Organizing Systems · Physics 2021-05-28 Soham Gupta , John Baker

Robust agent-based models for pedestrian dynamics, which can predict the motion of pedestrians in various situations without specific adjustment of the model or its parameters, are highly desirable. But the modeller's task is challenging,…

Physics and Society · Physics 2023-11-01 Iñaki Echeverría-Huarte , Alexandre Nicolas

A fundamental problem in community ecology is to understand how ecological processes such as selection, drift, and immigration give rise to observed patterns in species composition and diversity. Here, we present a simple, analytically…

Populations and Evolution · Quantitative Biology 2016-09-07 Benjamin Dickens , Charles K. Fisher , Pankaj Mehta

The Schelling model is a simple agent based model that demonstrates how individuals' relocation decisions generate residential segregation in cities. Agents belong to one of two groups and occupy cells of rectangular space. Agents react to…

Physics and Society · Physics 2014-06-25 Erez Hatna , Itzhak Benenson

By coupling a doorway state to a see of random background states, we develop the theory of doorway states in the framework of the random-phase approximation (RPA). Because of the symmetry of the RPA equations, that theory is radically…

Nuclear Theory · Physics 2015-06-22 A. De Pace , A. Molinari , H. A. Weidenmueller

Operation in a real world traffic requires autonomous vehicles to be able to plan their motion in complex environments (multiple moving participants). Planning through such environment requires the right search space to be provided for the…

Robotics · Computer Science 2019-05-22 Jasprit Singh Gill , Pierluigi Pisu , Venkat N. Krovi , Matthias J. Schmid

In recent years, interest in autonomous shipping in urban waterways has increased significantly due to the trend of keeping cars and trucks out of city centers. Classical approaches such as Frenet frame based planning and potential field…

Populations exhibiting partial migration consist of two groups of individuals: Those that mi- grate between habitats, and those that remain fixed in a single habitat. We propose several discrete-time population models to investigate the…

Dynamical Systems · Mathematics 2016-10-31 Anushaya Mohapatra , Haley A. Ohms , David A. Lytle , Patrick De Leenheer

Highway capacity is often subject to stochastic perturbations due to the combined effects of weather, traffic mixture, driver behavior, etc. This paper is motivated by the need of a systematic approach to traffic control with performance…

Optimization and Control · Mathematics 2022-03-11 Yu Tang , Li Jin , Alexander A. Kurzhanskiy , Saurabh Amin

Economic studies have shown that there are two types of regulation schemes which can be considered as a vital part of today's global economy: self-regulation enforced by self-regulation organizations to govern industry practices, and…

Physics and Society · Physics 2019-11-20 Pengbi Cui , Zhi-Xi Wu , Tao Zhou , Xiaojie Chen

We study the evolution of cooperation in an interacting particle system with two types. The model we investigate is an extension of a two-type biased voter model. One type (called defector) has a (positive) bias $\alpha$ with respect to the…

Probability · Mathematics 2018-06-08 Peter Czuppon , Peter Pfaffelhuber

In the context of network dynamics, the complexity of systems increases possible evolutionary paths that often are not deterministic. Occasionally, some map routs form over the course of time which guide systems towards some particular…

Physics and Society · Physics 2017-01-02 L. Hedayatifar , F. Hassanibesheli , A. H. Shirazi , S. Vasheghani Farahani , G. R. Jafari

Stochastic, spatially extended models for predator-prey interaction display spatio-temporal structures that are not captured by the Lotka-Volterra mean-field rate equations. These spreading activity fronts reflect persistent correlations…

Statistical Mechanics · Physics 2024-05-09 Uwe C. Täuber

We develop and analyze mathematical models for residential burglary that incorporates police deployment through a delayed feedback mechanism. Motivated by empirical observations from publicly available crime and policing data, we extend a…

Dynamical Systems · Mathematics 2026-05-19 Baoli Hao , Kamrun Mily , Annalisa Quaini , Ming Zhong

In this work we propose a simple model for the emergence of drug dealers. For this purpose, we built a compartmental model considering four subpopulations, namely susceptibles, passive supporters, drug dealers and arrested drug dealers. The…

Physics and Society · Physics 2025-06-10 Nuno Crokidakis
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