Table of parameters for Models 1-10

Parameter	Definition	Model first introduced
$N$	Number of agents in the population.	1
$t_{max}$	Maximum number of timesteps or generations.	1
$r_{max}$	Maximum number of independent simulation runs.	1
$p$	Frequency of trait $A$.	1
$p_0$	Starting value of $p$.	1
$\mu$	Probability of unbiased cultural mutation. Specifically, the probability of trait $A$ mutating into trait $B$, or trait $B$ mutating into trait $A$.	2
$\mu_b$	Probability of biased cultural mutation. Specifically, the probability of trait $B$ mutating into trait $A$.	2
$s$	Strength of biased transmission / cultural selection. Specifically, in Model 3 (direct bias) the probability of switching to a more favourable trait upon encountering another agent with that trait, or in Model 4 (indirect bias) the payoff advantage to trait $A$ relative to trait $B$.	3
$q$	Frequency of a second trait in a two-trait model (trait $X$ in Model 4), or the frequency of trait $A$ in a second sub-population or group (Model 7).	4
$q_0$	Starting value of $q$.	4
$L$	Probability in two-trait models that the two traits are linked. Specifically, the probability that, if trait 1 is $A$, then trait 2 is $X$.	4
$D$	Strength of conformity. Specifically, the increased probability of adopting a majority trait, relative to unbiased transmission.	5
$s_v$	Strength of biased transmission / cultural selection under vertical cultural transmission. Specifically, the increased probability of adopting a favoured trait, relative to unbiased transmission, when only one parent holds that favoured trait.	6
$s_h$	Strength of biased transmission / cultural selection under horizontal cultural transmission. Specifically, the probability of switching to a more favourable trait upon encountering at least one of $n$ demonstrators with that trait.	6
$a$	Probability of assortative mating under vertical cultural transmission, such that both parents have identical cultural traits.	6
$n$	Number of demonstrators from whom an agent learns under horizontal transmission (Model 6) or blending inheritance (Model 8).	6
$m$	Strength of migration. Specifically, the probability that each agent migrates to a randomly chosen sub-population.	7
$e$	Error in copying the traits of $n$ demonstrators under blending inheritance. Specifically, the variance of the normal distribution with mean of the demonstrator trait value, from which the copied trait value is drawn.	8
$\alpha$	Copying error in the ‘Tasmanian’ model of cultural gain/loss. Specifically, the amount by which the mode of a gumbel distribution is reduced relative to the highest skill level in the previous generation.	9
$\beta$	Inferential guesses or experimentation in the ‘Tasmanian’ model of cultural gain/loss. Specifically, the dispersion of the gumbel distribution from which the new skill level is drawn.	9
$z_i$	Culturally transmitted skill level of the $i$th agent in the ‘Tasmanian’ model of cultural gain/loss.	9
$\bar{z}$	Mean culturally transmitted skill level across all agents of one generation in the ‘Tasmanian’ model of cultural gain/loss.	9
$g$	The number of cultural features in Axelrod’s model of polarization, with each feature taking one of ten possible trait values.	10
$N_{side}$	The number of agents along one side of a square grid in Axelrod’s model of polarization, giving ${N_{side}}^2$ agents in total.	10