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TABLE 9.2
Study of Schelling Model Dynamics according to Benenson and Hatna (2011) Including
the Model Settings and Parameters
The city is a 50 × 50 torus and the city population consists of dark and light grey residential agents.
Fraction of dark grey among all agents.
β
Fraction of free cells in the city.
d
Neighbourhood size.
R × R
Fraction of agents who reside among friends but nonetheless try to reside.
m
Fraction of friends in the neighbour that a dark/light grey agent is seeking.
F B , F G
The Name of the Model Version, Qualitative View of Model Dynamics
Basic : Satisficer agents; equal number of dark and light greys; high density of occupied cells; non-zero random migration.
Dynamics : For any initial conditions, the city patterns converge to a random-like pattern for F < F crit and to a segregated
pattern for F ≥ F crit , where F crit ≈ 0.25.
Parameters
Persistent Patterns
β = 0.5
d = 0.02
R = 3
m = 0.01
F B = F G = F F = 3/16 F = 5/16 F = 9/16 F = 13/16
Maximisers : Maximiser agents; equal number of dark and light greys; high density of occupied cells; low rate of
random migration.
Dynamics : The pattern segregates for any F and always stalls in a state where some of the agents remain unhappy
because there are no vacant cells of higher utility in which to reside.
Parameters
Persistent Patterns
β = 0.5
d = 0.02
R = 3
m = 0.01
F B = F G = F F = 5/16 F = 9/16
No random migration : Satisficer agents; equal number of dark and light greys; high density of occupied cells.
Dynamics : For F ≥ F crit , the patterns evolve towards segregation but stall in a state for which the segregation is lower
than in the basic version. Some of the agents remain unhappy because there are no vacant cells of higher utility in
which to reside.
Parameters
Persistent Patterns
β = 0.5
R = 3
m = 0
F = 5/8
d
d = 0.7
d = 0.9
d = 0.98
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