Table 1: Basic assumptions of the dissemination of culture model with one-to-one communication and our implementation with one-to-many communication.

One-to-one communicationOne-to-many communication

(1) Select active agent Every time step pick an agent from the population1 Every time step pick an agent from the population
(2) Select communication partner Pick a neighbor of agent (not needed)
(3) Select communicated trait Pick a feature on which and differ () Pick a feature on which and at least one neighbor differ (, for any )
(4) Homophilous social influence With a probability equal to the proportion of traits that and share ( over ), let adopt trait from With a probability equal to the proportion of traits that and share ( over ), let each neighbor adopt trait from

In the original model, Axelrod describes influence to go from , but in order to make the formalization of one-to-one and one-to-many communication comparable, we change the phrasing of influence to go from . The two implementations are mathematically equivalent.