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This paper examines the spatial agglomeration of workers and income in a continuous space-time framework. Local markets feature spatial spillovers and both exogenous and endogenous amenities. Workers relocate to maximise their instantaneous…

Theoretical Economics · Economics 2025-02-21 Davide Fiaschi , Cristiano Ricci

Understanding urban growth is one with understanding how society evolves to satisfy the needs of its individuals in sharing a common space and adapting to the territory. We propose here a quantitative analysis of the historical development…

Physics and Society · Physics 2016-04-27 Alessandro Fiasconaro , Emanuele Strano , Vincenzo Nicosia , Sergio Porta , Vito Latora

This paper studies spatial patterns formed by proximate population migration driven by real wage gradients and other idiosyncratic factors. The model consists of a tractable core-periphery model incorporating a quasi-linear log utility…

Theoretical Economics · Economics 2025-07-23 Kensuke Ohtake

How does transport cost affect the spatial organization of economic activities? This study develops a theoretical framework that distinguishes between two types of dispersion forces in spatial models: "local" dispersion forces acting within…

General Economics · Economics 2026-03-02 Takashi Akamatsu , Tomoya Mori , Minoru Osawa , Yuki Takayama

Income redistribution is the transfer of income from some individuals to others directly or indirectly by means of social mechanisms, such as taxation, public services and so on. Employing a spatial public goods game, we study the influence…

Physics and Society · Physics 2017-03-08 Zhenhua Pei , Baokui Wang , Jinming Du

Discrete time, spatially extended models play an important role in ecology, modelling population dynamics of species ranging from micro-organisms to birds. An important question is how 'bottom up', individual-based models can be…

Populations and Evolution · Quantitative Biology 2023-01-20 Linnéa Gyllingberg , David J. T. Sumpter , Åke Brännström

Our computational economic analysis investigates the relationship between inequality, mobility and the financial accumulation process. Extending the baseline model by Levy et al., we characterise the economic process through stylised return…

General Economics · Economics 2020-02-20 Simone Righi , Yuri Biondi

Aggregation-diffusion equations are foundational tools for modelling biological aggregations. Their principal use is to link the collective movement mechanisms of organisms to their emergent space use patterns in a concrete mathematical…

Populations and Evolution · Quantitative Biology 2025-04-16 Jonathan R. Potts

As countries develop, the relative importance of agriculture declines and economic activity becomes spatially concentrated. We develop a model integrating structural change and regional disparities to jointly capture these phenomena. A key…

General Economics · Economics 2024-12-06 Clement E. Bohr , Marti Mestieri , Frederic Robert-Nicoud

Traditional approaches to urban income segregation focus on static residential patterns, often failing to capture the dynamic nature of social mixing at the neighborhood level. Leveraging high-resolution location-based data from mobile…

Physics and Society · Physics 2025-09-09 Lavinia Rossi Mori , Vittorio Loreto , Riccardo Di Clemente

The dynamics of urban systems can be understood from an evolutionary perspective, in some sense extending biological and cultural evolution. Models for systems of cities implementing elementary evolutionary processes remain however to be…

Physics and Society · Physics 2020-05-01 Juste Raimbault

This paper proposes a physical-statistical modeling approach for spatio-temporal data arising from a class of stochastic convection-diffusion processes. Such processes are widely found in scientific and engineering applications where…

Applications · Statistics 2020-08-07 Xiao Liu , Kyongmin Yeo , Siyuan Lu

Spatio-temporal areal data can be seen as a collection of time series which are spatially correlated according to a specific neighboring structure. Incorporating the temporal and spatial dimension into a statistical model poses challenges…

We study the impact of economic integration on agglomeration in a model where all consumers are inter-regionally mobile and have heterogeneous preferences regarding their residential location choices. This heterogeneity is the unique…

Theoretical Economics · Economics 2025-03-21 José M. Gaspar

In this paper we focus on spatial Markov population models, describing the stochastic evolution of populations of agents, explicitly modelling their spatial distribution, representing space as a discrete, finite graph. More specifically, we…

Multiagent Systems · Computer Science 2016-10-27 Luca Bortolussi , Cheng Feng

Spatiotemporal modeling of economic aggregates is increasingly relevant in regional science due to the presence of both spatial spillovers and temporal dynamics. Traditional temporal disaggregation methods, such as Chow-Lin, often ignore…

Methodology · Statistics 2025-11-18 A. Tobar , A. Mir , R. Alberich , I. Garcia Mosquera , M. Miró , NA. Cruz

Understanding how spatial configurations of economic activity emerge is important when formulating spatial planning and economic policy. A simple model was proposed by Simon, who assumed that firms grow at a rate proportional to their size,…

Multiagent Systems · Computer Science 2012-05-01 Jung-Hun Yang , Dick Ettema , Koen Frenken

Recent research in economic theory attempts to study optimal economic growth and spatial location of economic activity in a unified framework. So far, the key result of this literature - asymptotic convergence, even in the absence of…

General Finance · Quantitative Finance 2014-01-21 Gani Aldashev , Serik Aldashev , Timoteo Carletti

We briefly review statistical models for the probability distribution of money developed in the econophysics literature since the late 1990s. In these models, economic transactions are modeled as random transfers of money between the agents…

Statistical Finance · Quantitative Finance 2011-03-14 Victor M. Yakovenko

The processes of ecological interactions, dispersal and mutations shape the dynamics of biological communities, and analogous eco-evolutionary processes acting upon economic entities have been proposed to explain economic change. This…

Econometrics · Economics 2023-01-24 Victor Boussange , Didier Sornette , Heike Lischke , Loïc Pellissier
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