Dynamics of extended Schelling models
Vieira
A
P
author
Goles
E
author
Herrmann
H
J
author
2020
English
We explore extensions of Schelling's model of social dynamics, in which two types of agents live on a checkerboard lattice and move in order to optimize their own satisfaction, which depends on how many agents among their neighbors are of their same type. For each number n of same-type nearest neighbors we independently assign a binary satisfaction variable s(k) which is equal to one only if the agent is satisfied with that condition, and is equal to zero otherwise. This defines 32 different satisfaction rules, which we investigate in detail, focusing on pattern formation and measuring segregation with the help of an 'energy' function which is related to the number of neighboring agents of different types and plays no role in the dynamics. We consider the checkerboard lattice to be fully occupied and the dynamics consist of switching the locations of randomly selected unsatisfied agents of opposite types. We show that, starting from a random distribution of agents, only a small number of rules lead to (nearly) fully segregated patterns in the long run, with many rules leading to chaotic steady-state behavior. Nevertheless, other interesting patterns may also be dynamically generated, such as 'anti-segregated' patterns as well as patterns resembling sponges.
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9
WOS:000520592600001
exported from refbase (http://ficpubs.uai.cl/show.php?record=1159), last updated on Thu, 28 May 2020 21:07:33 +0000
text
10.1088/1742-5468/ab5b8d
Vieira_etal2020
Journal Of Statistical Mechanics-Theory And Experiment
J. Stat. Mech.-Theory Exp.
2020
Iop Publishing Ltd
continuing
periodical
academic journal
2020
1
17 pp
1742-5468