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In this paper we analyse the street network of London both in its primary and dual representation. To understand its properties, we consider three idealised models based on a grid, a static random planar graph and a growing random planar…

Data Analysis, Statistics and Probability · Physics 2009-09-07 A. P. Masucci , D. Smith , A. Crooks , M. Batty

Situations of conflict giving rise to social dilemmas are widespread in society and game theory is one major way in which they can be investigated. Starting from the observation that individuals in society interact through networks of…

Physics and Society · Physics 2010-11-24 Enea Pestelacci , Marco Tomassini , Leslie Luthi

Systems composed of distinct complex networks are present in many real-world environments, from society to ecological systems. In the present paper, we propose a network model obtained as a consequence of interactions between two species…

Biological Physics · Physics 2007-08-08 Luis Enrique Correa da Rocha , Luciano da Fontoura Costa

We study a two-player model of conflict with multiple battlefields -- the novel element is that each of the players has their own network of spillovers so that resources allocated to one battle can be utilized in winning neighboring…

Theoretical Economics · Economics 2025-10-14 Marcin Dziubiński , Sanjeev Goyal , Junjie Zhou

In this paper we study some mathematical models describing evolution of population density and spread of epidemics in population systems in which spatial movement of individuals depends only on the departure and arrival locations and does…

Functional Analysis · Mathematics 2014-03-24 Shangbin Cui , Meng Bai

Quantifying the improvement in human living standard, as well as the city growth in developing countries, is a challenging problem due to the lack of reliable economic data. Therefore, there is a fundamental need for alternate, largely…

Social and Information Networks · Computer Science 2018-12-04 Jiqian Dong , Gopaljee Atulya , Kartikeya Bhardwaj , Radu Marculescu

In any ecosystem, the conditions of the environment and the characteristics of the species that inhabit it are entangled, co-evolving in space and time. We introduce a model that couples active agents with a dynamic environment, interpreted…

Populations and Evolution · Quantitative Biology 2025-12-10 G. Briozzo , G. J. Sibona , F. Peruani

Congestion in transport networks is a topic of theoretical interest and practical importance. In this paper we study the flow of vehicles in urban street networks. In particular, we use a cellular automata model to simulate the motion of…

Physics and Society · Physics 2010-12-16 Salvatore Scellato , Luigi Fortuna , Mattia Frasca , Jesús Gómez-Gardeñes , Vito Latora

Measures of wealth and production have been found to scale superlinearly with the population of a city. Therefore, it makes economic sense for humans to congregate together in dense settlements. A recent model of population dynamics showed…

Physics and Society · Physics 2016-12-28 James PL Tan

Cooperation and competition coexist and coevolve in natural and social systems. Cooperation generates resources, which in turn, drive non-cooperative competition to secure individual shares. How this complex interplay between cooperation…

Physics and Society · Physics 2025-09-03 Wenqiang Zhu , Xin Wang , Chaoqian Wang , Weijie Xing , Longzhao Liu , Hongwei Zheng , Jingwu Zhao , Shaoting Tang

Evolutionary game theory is a mathematical toolkit to analyse the interactions that an individual agent has in a population and how the composition of strategies in this population evolves over time. While it can provide neat solutions to…

Computer Science and Game Theory · Computer Science 2021-09-07 Jacobus Smit , Ed Plumb

The growth of cities has traditionally been studied from a population perspective, while urban expansion-its spatial growth-has often been approached qualitatively. However, characterizing and modeling this spatial expansion is crucial,…

Physics and Society · Physics 2026-03-31 Ulysse Marquis , Marc Barthelemy

In this paper, we present a modelling experiment developed to study systems of cities and processes of urbanisation in large territories over long time spans. Building on geographical theories of urban evolution, we rely on agent-based…

In this paper we investigate networks whose evolution is governed by the interaction of a random assembly process and an optimization process. In the first process, new nodes are added one at a time and form connections to randomly selected…

Disordered Systems and Neural Networks · Physics 2011-05-16 Markus Brede

The amount of data that is being gathered about cities is increasing in size and specificity. However, despite this wealth of information, we still have little understanding of what really drives the processes behind urbanisation. In this…

Physics and Society · Physics 2015-11-30 Rémi Louf

Interactions between people are the basis on which the structure of our society arises as a complex system and, at the same time, are the starting point of any physical description of it. In the last few years, much theoretical research has…

Computer Science and Game Theory · Computer Science 2017-12-06 Mattia Mazzoli , Angel Sanchez

We model the Internet as a network of interconnected Autonomous Systems which self-organize under an absolute lack of centralized control. Our aim is to capture how the Internet evolves by reproducing the assembly that has led to its actual…

Physics and Society · Physics 2009-11-11 M. Angeles Serrano , Marian Boguna , Albert Diaz-Guilera

How are economic activities linked to geographic locations? To answer this question, we use a data-driven approach that builds on the information about location, ownership and economic activities of the world's 3,000 largest firms and their…

Physics and Society · Physics 2015-12-10 Antonios Garas , Celine Rozenblat , Frank Schweitzer

Networks are important representations in computer science to communicate structural aspects of a given system of interacting components. The evolution of a network has several topological properties that can provide us information on the…

Social and Information Networks · Computer Science 2020-04-30 Joao Pita Costa , Tihana Galinac Grbac

We study the influence that population density and the road network have on each others' growth and evolution. We use a simple model of formation and evolution of city roads which reproduces the most important empirical features of street…

Physics and Society · Physics 2009-08-28 Marc Barthelemy , Alessandro Flammini