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We analyze the long-term stability of a stochastic model designed to illustrate the adaptation of a population to variation in its environment. A piecewise-deterministic process modeling adaptation is coupled to a Feller logistic diffusion…

Probability · Mathematics 2021-09-14 Aurélien Velleret

In a constantly changing world, animals must account for environmental volatility when making decisions. To appropriately discount older, irrelevant information, they need to learn the rate at which the environment changes. We develop an…

Neurons and Cognition · Quantitative Biology 2017-01-12 Adrian E Radillo , Alan Veliz-Cuba , Kresimir Josic , Zachary P Kilpatrick

Urban segregation refers to the physical and social division of people, often driving inequalities within cities and exacerbating socioeconomic and racial tensions. While most studies focus on residential spaces, they often neglect…

Human-Computer Interaction · Computer Science 2025-01-08 Yue Yu , Yifang Wang , Yongjun Zhang , Huamin Qu , Dongyu Liu

The distribution of facilities is closely related to our social economic activities. Recent studies have reported a scaling relation between population and facility density with the exponent depending on the type of facility. In this paper,…

Physics and Society · Physics 2012-12-05 J. H. Qian , C. H. Yang , D. D. Han , Y. G. Ma

Understanding scaling relations of social and environmental attributes of urban systems is necessary for effectively managing cities. Urban scaling theory (UST) has assumed that population density scales positively with city size. We…

The Axelrod model is a cellular automaton which can be used to describe the emergence and development of cultural domains, where culture is represented by a fixed number of cultural features taking a discrete set of possible values…

Statistical Mechanics · Physics 2023-10-16 Zuzanna Kalinowska , Bartłomiej Dybiec

The emergence of eusocial species is both very rare in evolutionary history and results in remarkably successful species. By inverting an agent based model, agent rules are discovered that display behaviors characteristic of eusocial…

Physics and Society · Physics 2022-09-09 John C. Stevenson

Cooperation in an open dynamic system fundamentally depends upon information distributed across its components. Yet in an environment with rapidly enlarging complexity, this information may need to change adaptively to enable not only…

Physics and Society · Physics 2021-04-06 Wonhee Jeong , Tarik Hadzibeganovic , Unjong Yu

This work investigates a modified Schelling model within the scope and aims of Social Physics. The main purpose is to see if how the concepts of potential and kinetic energy can be represented within a computational sociological system. A…

Physics and Society · Physics 2023-09-14 George-Rafael Domenikos , Tyler Laurie , Sahar Awaji , Alexander V. Mantzaris

We employ an agent-based model for cultural dynamics to investigate the effects of spatial heterogeneities on the collective behavior of a social system. We introduce heterogeneity as a random distribution of defects or imperfections in a…

Physics and Society · Physics 2021-02-03 M. G. Cosenza , O. Alvarez-Llamoza , C. Echeverría , K. Tucci

The Axelrod model is a spatial stochastic model for the dynamics of cultures which, similarly to the voter model, includes social influence, but differs from the latter by also accounting for another social factor called homophily, the…

Probability · Mathematics 2011-07-25 Nicolas Lanchier , Jason Schweinsberg

The response threshold model explains the emergence of division of labor (i.e., task specialization) in an unstructured population by assuming that the individuals have different propensities to work on different tasks. The incentive to…

Populations and Evolution · Quantitative Biology 2024-04-29 José F. Fontanari , Viviane M. de Oliveira , Paulo R. A. Campos

We propose two models of social segregation inspired by the Schelling model. Agents in our models are nodes of evolving social networks. The total number of social connections of each node remains constant in time, though may vary from one…

Physics and Society · Physics 2018-09-26 V. Avetisov , A. Gorsky , S. Maslov , S. Nechaev , O. Valba

This work suggests modifications to a previously introduced class of heterogeneous agent models that allow for the inclusion of different types of agent motivations and behaviours in a unified way. The agents operate within a highly…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 H. Lamba , T. Seaman

World models play a crucial role in decision-making within embodied environments, enabling cost-free explorations that would otherwise be expensive in the real world. To facilitate effective decision-making, world models must be equipped…

Human settlements on Earth are scattered in a multitude of shapes, sizes and spatial arrangements. These patterns are often not random but a result of complex geographical, cultural, economic and historical processes that have profound…

Physics and Society · Physics 2021-06-03 Emanuele Strano , Filippo Simini , Marco De Nadai , Thomas Esch , Mattia Marconcini

Social Reinforcement Learning methods, which model agents in large networks, are useful for fake news mitigation, personalized teaching/healthcare, and viral marketing, but it is challenging to incorporate inter-agent dependencies into the…

Machine Learning · Computer Science 2020-03-25 Mahak Goindani , Jennifer Neville

In order to measure, predict, and prevent social segregation, it is necessary to understand the factors that cause it. While in most available descriptions space plays an essential role, one outstanding question is whether and how this…

Physics and Society · Physics 2019-04-03 Gianluca Teza , Samir Suweis , Marco Gherardi , Amos Maritan , Marco Cosentino Lagomarsino

In modern interconnected societies, opinions and beliefs can quickly spread across large populations, giving rise to collective behaviors such as the adoption of social norms or polarization. These phenomena have motivated many models aimed…

Physics and Society · Physics 2026-05-27 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat

Urban mobility models are essential tools for understanding and forecasting how people and goods move within cities, which is vital for transportation planning. The spatial scale at which urban mobility is analysed is a crucial determinant…

Physics and Society · Physics 2026-03-06 Rakhi Manohar Mepparambath , Hoai Nguyen Huynh
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