“A random walk, in retrospect, looks like like directional movement at a speed of .
The average distance from the starting point is close to after n random steps (in 1 dimension). But I’d characterize that as a speed of . Or you could say ”… looks like a directional movement of distance ”.
@Friendly Monkey , I’m replying to your reaction:
There are people who require multiple methods of persuasion before they act in the way you want. One category is decisionmakers for an organization, who have actually been persuaded by intimidation, but they can’t just say that, because they would look weak and possibly as though they’re defecting against the organization or its aims, so they need to sell it as some high-minded decision they’ve come to of their own accord. Or it could be the reverse: decisionmakers who are persuaded by your ideological arguments, but are funded / otherwise kept in charge by those who don’t care or have contempt for the ideology, so they need to sell it to their funders (presumably in private) as, “Hey, look, let’s be realistic here, if we do this then they’ll do that and we absolutely can’t afford that. But if we do this other thing, that won’t happen, and would it really be so bad? And we’ll tell the public that recent events have made us realize how important [...]”.
In both cases, it’s essential for you to have someone doing the intimidation and someone publicizing the high-minded arguments, and usually it works best if these are different people. (For example, if an intellectual who is respected by the mainstream (but only agreed with by a minority) starts making threats, that seems likely to lose them mainstream acceptance—such an ugly thing to be involved with, carrying out the threats even more so—and thus, for that reason among others, making the threats credible is more difficult than it would be for a thug who has nothing to lose.)
So, for those decisionmakers, if you have intimidation but not a public-friendly face (a book-publishing intellectual, an organization doing charity events, etc.), you get nothing, and if you have the friendly face but not intimidation, you also get nothing, but if you have both, then you win their support. It’s not a matter of “intimidation and friendliness each independently get diminishing marginal returns, and if you over-invest in one or even saturate it then that’s inefficient”; rather, you need both to have any success.
Incidentally, although violence was the subject above, I’ve used “intimidation”, which may be interpreted to also cover things like social shaming or threatening to arbitrarily cancel business deals. That makes the above patterns cover a lot of things done in recent years.
Another aspect: Frequently, the group doing the intimidation will claim it’s justified. One man’s threat of aggressive violence may be another man’s statement that he’ll act in self-defense or justified punishment, if they have different theories of rights, or perhaps disagreement about what happened.
The more mainstream-friendly group who is on their side… If they want to defend the behavior, then, depending on the circumstances, they have lots of options for their official position: the ideological, “It’s justified” or “It’s an overreaction but you do have to understand where they’re coming from”; the conversation-tactical, “Hey, look over there! Something more important is happening” or “Anyone who complains about this has contemptible traits XYZ and should be attacked”; the associational, “It wasn’t our people”, or even “It was a false flag”; the evidentiary, “It’s not as bad as they claim”, occasionally even “It didn’t happen”; and so on. (Any of these stances might have been chosen honestly, and might be correct, but, especially for the most sophisticated and the most ideological, one’s priors should be skeptical. Sometimes “Bounded Distrust” is applicable; it can be interesting to think through “If they could have taken and defended stance A, they probably would have, so the fact that they picked stance B tells me …”.)