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Network--based epidemic models that account for heterogeneous contact patterns are extensively used to predict and control the diffusion of infectious diseases. We use census and survey data to reconstruct a geo--referenced and…

Social and Information Networks · Computer Science 2026-05-19 Alessandro Celestini , Francesca Colaiori , Stefano Guarino , Enrico Mastrostefano , Lena Rebecca Zastrow

Cities are characterized by the presence of a dense population with a high potential for interactions between individuals of diverse backgrounds. They appear in parallel to the Neolithic revolution a few millennia ago. The advantages…

Physics and Society · Physics 2022-10-12 Elsa Arcaute , Jose J. Ramasco

We consider the extension of a tractable NEG model with a quasi-linear log utility to continuous space, and investigate the behavior of its solution mathematically. The model is a system of nonlinear integral and differential equations…

Theoretical Economics · Economics 2023-10-11 Kensuke Ohtake

Migration plays a crucial role in urban growth. Over time, individuals opting to relocate led to vast metropolises like London and Paris during the Industrial Revolution, Shanghai and Karachi during the last decades and thousands of smaller…

Physics and Society · Physics 2025-04-03 Rafael Prieto-Curiel , Carmen Cabrera-Arnau

In this paper, inspired by the work of Megiddo on the formation of preferences and strategic analysis, we consider an early market model studied in the field of economic theory, in which each trader's utility may be influenced by the…

Computer Science and Game Theory · Computer Science 2010-09-03 Xi Chen , Shang-Hua Teng

Wireless mobile grids are one of the emerging grid types, which help to pool the resources of several willing and cooperative mobile devices to resolve a computationally intensive task. The mobile grids exhibit stronger challenges like…

Networking and Internet Architecture · Computer Science 2010-02-10 A. S. Nandeppanavar , M. N. Birje , S. S. Manvi , Shridhar

The main result relates to structured robust stability analysis of an input-output model for networks with link uncertainty. It constitutes a collection of integral quadratic constraints, which together imply robust stability of the…

Systems and Control · Electrical Eng. & Systems 2024-09-05 Simone Mariano , Michael Cantoni

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

Agents learn about a changing state using private signals and their neighbors' past estimates of the state. We present a model in which Bayesian agents in equilibrium use neighbors' estimates simply by taking weighted sums with…

Theoretical Economics · Economics 2022-11-28 Krishna Dasaratha , Benjamin Golub , Nir Hak

Sustainable Development Goals are intrinsically competing, but their embedding into urban systems furthermore emphasises such compromises, due to spatial complexity, the non-optimal nature of such systems, and multi-objective aspects of…

Physics and Society · Physics 2021-12-01 Juste Raimbault , Denise Pumain

There is strong expectation that cities, across time, culture and level of development, share much in common in terms of their form and function. Recently, attempts to formalize mathematically these expectations have led to the hypothesis…

Physics and Society · Physics 2013-01-28 Luis M. A. Bettencourt , Jose Lobo , Hyejin Youn

Human dynamics and sociophysics suggest statistical models that may explain and provide us with better insight into social phenomena. Here we tackle the problem of determining the distribution of the population density of a social space…

Physics and Society · Physics 2020-02-18 Mark Levene , Trevor Fenner

We study decentralized markets with the presence of middlemen, modeled by a non-cooperative bargaining game in trading networks. Our goal is to investigate how the network structure of the market and the role of middlemen influence the…

Computer Science and Game Theory · Computer Science 2013-07-09 Thanh Nguyen , Vijay G. Subramanian , Randall A. Berry

This study develops a statistical model that integrates economic agglomeration theory and power-law distributions of city sizes to project future population distribution on 1-km grid cells. We focus on Japan -- a country at the forefront of…

General Economics · Economics 2025-05-14 Tomoya Mori , Daisuke Murakami

The building of mathematical and computer models of cities has a long history. The core elements are models of flows (spatial interaction) and the dynamics of structural evolution. In this article, we develop a stochastic model of urban…

Methodology · Statistics 2018-05-10 L. Ellam , M. Girolami , G. A. Pavliotis , A. Wilson

We study a coupled epidemic-mobility model in which, at each time, individuals move in a network of spatially-distributed regions (sub-populations) according to a Continuous Time Markov Chain (CTMC) and subsequently interact with the local…

Systems and Control · Electrical Eng. & Systems 2019-09-30 Vishal Abhishek , Vaibhav Srivastava

We study competition between firms in labor markets, following a combinatorial model suggested by Kelso and Crawford [1982]. In this model, each firm is trying to recruit workers by offering a higher salary than its competitors, and its…

Computer Science and Game Theory · Computer Science 2013-06-26 Reshef Meir , Moshe Tennenholtz

The recent availability of digital traces from Information and Communications Technologies (ICT) has facilitated the study of both individual- and population-level movement with unprecedented spatiotemporal resolution, enabling us to better…

Physics and Society · Physics 2023-10-10 Surendra Hazarie , Hugo Barbosa , Adam Frank , Ronaldo Menezes , Gourab Ghoshal

Economic and financial networks play a crucial role in various important processes, including economic integration, globalization, and financial crises. Of particular interest is understanding whether the temporal evolution of a real…

Physics and Society · Physics 2014-05-08 Tiziano Squartini , Diego Garlaschelli

This paper is mainly devoted to lay an empirical foundation for further research on complex spatial dynamics of two-population interaction. Based on the US population census data, a rural and urban population interaction model is developed.…

Physics and Society · Physics 2016-06-14 Yanguang Chen , Feng Xu