Table 1.

Model notations

Symbol	Meaning
N	Population size
m	Migration rate (probability of migration event in each time step; interaction event occurs with complementary probability 1-m)
R	Cultural trait initially associated with the resident
I	Cultural trait initially associated with the immigrant
p i, p r	Relative frequency of type I and R, respectively
x ii, x rr	Interaction tendency with the same type (of I and R, respectively)
x ir, x ri	Interaction tendency with the other type (of I and R, respectively)
X ii, X rr, X ir, X ri	Interaction probability of two individuals
c i, cr	Degree of cultural conservatism of type I and R
Δc = cr −c i	Difference between the degree of cultural conservatism of type I and R
S i, S r	Probability to change one’s type in an interaction with the other type for type I and type R individuals, respectively
ΔS = S r−S i	Difference between the changing probability of type I and R
W i, W r	Transmission advantage (‘payoff’) of trait I and R, respectively
ΔW	Difference between the payoff of trait I and R