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Related papers: Continuous utility factor in segregation models

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We consider an exclusion process on a ring in which a particle hops to an empty neighbouring site with a rate that depends on the number of vacancies $n$ in front of it. In the steady state, using the well known mapping of this model to the…

Statistical Mechanics · Physics 2014-12-30 Priyanka , Arvind Ayyer , Kavita Jain

Schelling and Sakoda prominently proposed computational models suggesting that strong ethnic residential segregation can be the unintended outcome of a self-reinforcing dynamic driven by choices of individuals with rather tolerant ethnic…

Physics and Society · Physics 2020-06-25 Lucas Sage , Andreas Flache

We analyze the dynamics of room evacuation for mixed populations that include both competitive and cooperative individuals through numerical simulations using the social force model. Cooperative agents represent well-trained individuals who…

Physics and Society · Physics 2024-05-17 Amir Zablotsky , Marcelo N Kuperman , Sebastián Bouzat

The steady state reached by a system of particles sliding down a fluctuating surface has interesting properties. Particle clusters form and break rapidly, leading to a broad distribution of sizes and large fluctuations. The density-density…

Statistical Mechanics · Physics 2015-05-13 Apoorva Nagar , Mustansir Barma

A new simple model of diffusion of innovations in a social network with upgrading costs is introduced. Agents are characterized by a single real variable, their technological level. According to local information agents decide whether to…

Statistical Mechanics · Physics 2009-11-07 X. Guardiola , A. Diaz-Guilera , C. J. Perez , A. Arenas , M. Llas

We analyze the Schelling model of segregation in which a society of n individuals live in a ring. Each individual is one of two races and is only satisfied with his location so long as at least half his 2w nearest neighbors are of the same…

Computer Science and Game Theory · Computer Science 2012-03-30 Christina Brandt , Nicole Immorlica , Gautam Kamath , Robert Kleinberg

A simple queueing approach for segregation of agents in modified one dimensional Schelling segregation model is presented. The goal is to arrive at simple formula for the number of unhappy agents remaining after the segregation.

Disordered Systems and Neural Networks · Physics 2007-12-19 Pawel Sobkowicz

Particle segregation is common in natural and industrial processes involving flowing granular materials. Complex, and seemingly contradictory, segregation phenomena have been observed for different boundary conditions and forcing. Using…

Soft Condensed Matter · Physics 2021-09-08 Lu Jing , Julio M. Ottino , Richard M. Lueptow , Paul B. Umbanhowar

How robust are socioeconomic agent-based models with respect to the details of the agents' decision rule? We tackle this question by considering an occupation model in the spirit of the Sakoda-Schelling model, historically introduced to…

Statistical Mechanics · Physics 2024-07-01 Ruben Zakine , Jerome Garnier-Brun , Antoine-Cyrus Becharat , Michael Benzaquen

Schelling's classical segregation model gives a coherent explanation for the wide-spread phenomenon of residential segregation. We consider an agent-based saturated open-city variant, the Flip Schelling Process (FSP), in which agents,…

Probability · Mathematics 2021-02-22 Thomas Bläsius , Tobias Friedrich , Martin S. Krejca , Louise Molitor

The model is based on a vector representation of each agent. The components of the vector are the key continuous attributes that determine the social behavior of the agent. A simple mathematical force vector model is used to predict the…

General Physics · Physics 2021-12-15 G. Jordan Maclay , Moody Ahmad

In this paper we study the effects of constraints on the dynamics of an adaptive segregation model introduced by Bischi and Merlone (2011). The model is described by a two dimensional piecewise smooth dynamical system in discrete time. It…

Dynamical Systems · Mathematics 2015-06-19 D. Radi , L. Gardini , V. Avrutin

We consider the symmetric simple exclusion processes with a slow site in the discrete torus with $n$ sites. In this model, particles perform nearest-neighbor symmetric random walks with jump rates everywhere equal to one, except at one…

Probability · Mathematics 2015-08-28 Tertuliano Franco , Patrícia Gonçalves , Gunter M. Schütz

We study consumption behaviour in systems with heterogeneous interacting agents. Two different models are introduced, respectively with long and short range interactions among agents. At any time step an agent decides whether or not to…

Statistical Mechanics · Physics 2008-12-02 Giulia Iori , Vassilis Koulovassilopoulos

We studied the room evacuation problem within the context of the Social Force Model. We focused on a system of 225 pedestrians escaping from a room in different anxiety levels, and analyzed the clogging delays as the relevant magnitude…

Physics and Society · Physics 2020-07-15 F. E. Cornes , G. A. Frank , C. O. Dorso

This paper studies controlling segregation in social networks via exogenous incentives. We construct an edge formation game on a directed graph. A user (node) chooses the probability with which it forms an inter- or intra- community edge…

Social and Information Networks · Computer Science 2021-08-31 Rui Luo , Buddhika Nettasinghe , Vikram Krishnamurthy

We consider a multi-class single server queueing network as a model of a packet switching network. The rates packets are sent into this network are controlled by queues which act as congestion windows. By considering a sequence of…

Optimization and Control · Mathematics 2010-11-25 Neil Stuart Walton

A formalism using a double Laplace Fourier transform of the transport equation yields the return probabilities of the vacancy in the vicinity of the tracer atom in the presence of solute-vacancy interactions of arbitrary extension. Studying…

Materials Science · Physics 2016-10-11 J. L. Bocquet

We study the question of existence and fast computation of fair and efficient allocations of indivisible resources among agents with additive valuations. As such allocations may not exist for arbitrary instances, we ask if they exist for…

Computer Science and Game Theory · Computer Science 2025-12-22 Aprup Kale , Rucha Kulkarni , Navya Garg

We study mathematical models of the collaborative solving of a two-choice discrimination task. We estimate the difference between the shared performance for a group of n observers over a single person performance. Our paper is a theoretical…

Physics and Society · Physics 2013-03-13 Piotr Migdał , Michał Denkiewicz , Joanna Rcaczaszek-Leonardi , Dariusz Plewczynski