Table 1 Model notations

From: Acculturation orientations affect the evolution of a multicultural society

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 ip 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 , c r

Degree of cultural conservatism of type I and R

Δc = c r −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