Characterizing segregation in the Schelling–Voter model

In this work we analyze several aspects related with segregation patterns appearing in the Schelling–Voter model in which an unhappy agent can change her location or her state in order to live in a neighborhood where she is happy. Briefly, agents may be in two possible states, each one represents an...

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Autores principales: Caridi, I., Pinasco, J.P., Saintier, N., Schiaffino, P.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03784371_v487_n_p125_Caridi
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spelling todo:paper_03784371_v487_n_p125_Caridi2023-10-03T15:33:05Z Characterizing segregation in the Schelling–Voter model Caridi, I. Pinasco, J.P. Saintier, N. Schiaffino, P. Crowds Schelling model Segregation Voter model Physics Segregation (metallography) Crowds Schelling Segregated patterns Segregation patterns Segregation phenomena Shannon information Two-dimensional lattices Voter models Location In this work we analyze several aspects related with segregation patterns appearing in the Schelling–Voter model in which an unhappy agent can change her location or her state in order to live in a neighborhood where she is happy. Briefly, agents may be in two possible states, each one represents an individually-chosen feature, such as the language she speaks or the opinion she supports; and an individual is happy in a neighborhood if she has, at least, some proportion of agents of her own type, defined in terms of a fixed parameter T. We study the model in a regular two dimensional lattice. The parameters of the model are ρ, the density of empty sites, and p, the probability of changing locations. The stationary states reached in a system of N agents as a function of the model parameters entail the extinction of one of the states, the coexistence of both, segregated patterns with conglomerated clusters of agents of the same state, and a diluted region. Using indicators as the energy and perimeter of the populations of agents in the same state, the inner radius of their locations (i.e., the side of the maximum square which could fit with empty spaces or agents of only one type), and the Shannon Information of the empty sites, we measure the segregation phenomena. We have found that there is a region within the coexistence phase where both populations take advantage of space in an equitable way, which is sustained by the role of the empty sites. © 2017 Fil:Caridi, I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Pinasco, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03784371_v487_n_p125_Caridi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Crowds
Schelling model
Segregation
Voter model
Physics
Segregation (metallography)
Crowds
Schelling
Segregated patterns
Segregation patterns
Segregation phenomena
Shannon information
Two-dimensional lattices
Voter models
Location
spellingShingle Crowds
Schelling model
Segregation
Voter model
Physics
Segregation (metallography)
Crowds
Schelling
Segregated patterns
Segregation patterns
Segregation phenomena
Shannon information
Two-dimensional lattices
Voter models
Location
Caridi, I.
Pinasco, J.P.
Saintier, N.
Schiaffino, P.
Characterizing segregation in the Schelling–Voter model
topic_facet Crowds
Schelling model
Segregation
Voter model
Physics
Segregation (metallography)
Crowds
Schelling
Segregated patterns
Segregation patterns
Segregation phenomena
Shannon information
Two-dimensional lattices
Voter models
Location
description In this work we analyze several aspects related with segregation patterns appearing in the Schelling–Voter model in which an unhappy agent can change her location or her state in order to live in a neighborhood where she is happy. Briefly, agents may be in two possible states, each one represents an individually-chosen feature, such as the language she speaks or the opinion she supports; and an individual is happy in a neighborhood if she has, at least, some proportion of agents of her own type, defined in terms of a fixed parameter T. We study the model in a regular two dimensional lattice. The parameters of the model are ρ, the density of empty sites, and p, the probability of changing locations. The stationary states reached in a system of N agents as a function of the model parameters entail the extinction of one of the states, the coexistence of both, segregated patterns with conglomerated clusters of agents of the same state, and a diluted region. Using indicators as the energy and perimeter of the populations of agents in the same state, the inner radius of their locations (i.e., the side of the maximum square which could fit with empty spaces or agents of only one type), and the Shannon Information of the empty sites, we measure the segregation phenomena. We have found that there is a region within the coexistence phase where both populations take advantage of space in an equitable way, which is sustained by the role of the empty sites. © 2017
format JOUR
author Caridi, I.
Pinasco, J.P.
Saintier, N.
Schiaffino, P.
author_facet Caridi, I.
Pinasco, J.P.
Saintier, N.
Schiaffino, P.
author_sort Caridi, I.
title Characterizing segregation in the Schelling–Voter model
title_short Characterizing segregation in the Schelling–Voter model
title_full Characterizing segregation in the Schelling–Voter model
title_fullStr Characterizing segregation in the Schelling–Voter model
title_full_unstemmed Characterizing segregation in the Schelling–Voter model
title_sort characterizing segregation in the schelling–voter model
url http://hdl.handle.net/20.500.12110/paper_03784371_v487_n_p125_Caridi
work_keys_str_mv AT caridii characterizingsegregationintheschellingvotermodel
AT pinascojp characterizingsegregationintheschellingvotermodel
AT saintiern characterizingsegregationintheschellingvotermodel
AT schiaffinop characterizingsegregationintheschellingvotermodel
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