# 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