I think you’re missing my point. Does your model have any allowance for the idea that new members can eventually become old members, and that this process is speed up by new members interacting with old members? Because the main point that I was trying to make is that a large portion (though nowhere near all) of a user’s desirability is how well they absorb the culture, and that culture can survive (more or less) intact through multiple “generations” if at any given point in time a large enough proportion of people have already acculturated. Consider a toy model were users can be discreetly divided into “old-hands” and “newbs”. In this toy model newbs turn into old-hands in x weeks iff at least 50% of the other users are old-hands (who can set a proper example), otherwise the culture collapses. In this case the culture can survive indefinitely iff the doubling time is longer than x.
I think you’re missing my point. Does your model have any allowance for the idea that new members can eventually become old members, and that this process is speed up by new members interacting with old members? Because the main point that I was trying to make is that a large portion (though nowhere near all) of a user’s desirability is how well they absorb the culture, and that culture can survive (more or less) intact through multiple “generations” if at any given point in time a large enough proportion of people have already acculturated. Consider a toy model were users can be discreetly divided into “old-hands” and “newbs”. In this toy model newbs turn into old-hands in x weeks iff at least 50% of the other users are old-hands (who can set a proper example), otherwise the culture collapses. In this case the culture can survive indefinitely iff the doubling time is longer than x.