The Role of Constraints in a Segregation Model: The Asymmetric Case
We extend the analysis on the effects of the entry constraints on the dynamics of an adaptive segregation model of Shelling’s type when the two populations involved differ in numerosity, level of tolerance toward members of the other population, and speed of reaction. The model is described by a two...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/569296 |
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| author | Davide Radi Laura Gardini Viktor Avrutin |
| author_facet | Davide Radi Laura Gardini Viktor Avrutin |
| author_sort | Davide Radi |
| collection | DOAJ |
| description | We extend the analysis on the effects of the entry constraints on the dynamics of an adaptive segregation model of Shelling’s type when the two populations involved differ in numerosity, level of tolerance toward members of the other population, and speed of reaction. The model is described by a two-dimensional piecewise smooth dynamical system in discrete time, where
the entry constraints represent possible exogenous controls imposed by an authority in order to regulate the maximum number of members of the two populations allowed to enter the system, usually the district in which they live in. In this paper, we investigate the nature of some particular border
collision bifurcations and discuss the policy implications of the entry constraints in terms of segregation. The investigation reveals that asymmetries in the level of tolerance of the two populations involved may lead to phenomena of overreaction or overshooting in the adjustment process. In
order to avoid the risk of segregation, suitable entry limitations must be
imposed at least on the more tolerant population. |
| format | Article |
| id | doaj-art-b926e54461024b39a1ad987ee317c691 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b926e54461024b39a1ad987ee317c6912025-02-03T01:01:38ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/569296569296The Role of Constraints in a Segregation Model: The Asymmetric CaseDavide Radi0Laura Gardini1Viktor Avrutin2Department of Management, Polytechnic University of Marche, 60121 Ancona, ItalyDESP, University of Urbino “Carlo Bo,” 61029 Urbino, ItalyDESP, University of Urbino “Carlo Bo,” 61029 Urbino, ItalyWe extend the analysis on the effects of the entry constraints on the dynamics of an adaptive segregation model of Shelling’s type when the two populations involved differ in numerosity, level of tolerance toward members of the other population, and speed of reaction. The model is described by a two-dimensional piecewise smooth dynamical system in discrete time, where the entry constraints represent possible exogenous controls imposed by an authority in order to regulate the maximum number of members of the two populations allowed to enter the system, usually the district in which they live in. In this paper, we investigate the nature of some particular border collision bifurcations and discuss the policy implications of the entry constraints in terms of segregation. The investigation reveals that asymmetries in the level of tolerance of the two populations involved may lead to phenomena of overreaction or overshooting in the adjustment process. In order to avoid the risk of segregation, suitable entry limitations must be imposed at least on the more tolerant population.http://dx.doi.org/10.1155/2014/569296 |
| spellingShingle | Davide Radi Laura Gardini Viktor Avrutin The Role of Constraints in a Segregation Model: The Asymmetric Case Discrete Dynamics in Nature and Society |
| title | The Role of Constraints in a Segregation Model: The Asymmetric Case |
| title_full | The Role of Constraints in a Segregation Model: The Asymmetric Case |
| title_fullStr | The Role of Constraints in a Segregation Model: The Asymmetric Case |
| title_full_unstemmed | The Role of Constraints in a Segregation Model: The Asymmetric Case |
| title_short | The Role of Constraints in a Segregation Model: The Asymmetric Case |
| title_sort | role of constraints in a segregation model the asymmetric case |
| url | http://dx.doi.org/10.1155/2014/569296 |
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