Table 1.
List of symbols.
| symbol | definition |
|---|---|
| N | number of individuals in the population |
| c | number of distinct cultural traits that an individual may acquire |
| oi | indicator variable taking value unity if an individual carries trait i, zero otherwise |
| ai | indicator variable taking value unity if at least one individual in the population carries trait i, zero otherwise |
| nf | number (random) of distinct cultural traits carried by an individuals at equilibrium |
| np | number (random) of distinct cultural traits in the population at equilibrium |
| p | probability that an individual who carries a focal trait before updating also carries that trait after updating |
| q | probability that an individual who does not carry a focal trait before updating carries that trait after updating |
| x(i) | probability that i individuals in the population carry a focal trait |
| ρf | probability that a random individual carries a focal trait |
| ρp | probability that at least one individual in the population carries a focal trait |
| ρs | probability that two individuals randomly sampled without replacement from the population both carry a focal trait |
| λf | expected number of distinct cultural traits carried by a random individual |
| λp | expected number of distinct cultural traits in the population |
| λs | expected number of shared cultural traits between two individuals |
| ϕ | proportion of shared traits between two individuals |
| r | probability of remembering a previously acquired trait |
| μ | innovation rate per trait |
| U | innovation rate per individual (U = cμ) |
| s(y) | probability that an individual adopts a focal trait from another when the frequency of other individuals in the population carrying that trait is y |
| β | probability of copying another individual |
| α | parameter tuning the conformist and anti-conformist effect |
| m | probability of learning a cultural trait from an outsider of a focal individual's group |