I think it's important to distinguish knowledge, incentive, and trust. Many (perhaps most) coordination problems are _not_ about knowledge, they're about trust. All players know there's a better equilibrium possible, but without a trust/enforcement/guarantee mechanism, none of them will risk being the punished minority who changes when others don't.
Trust is part of what I was gesturing at with beliefs-about-the-equilibrium, but it feels like that would be the hardest thing to quantify. I have been mentally equating "how far can I trust this player" with "what do I think this player's incentives are" and assuming that even if very few players are willing to take the risk of changing, how close that calculation is must vary.
To a first order of approximation, my theory of success is to provide a new incentive which exceeds the cost of being a punished minority in the short term.
A few further thoughts/questions:
All of this is vague intuition.
Much has been said about the problems of Nash equilibria. I've been wondering about how to quantify these sorts of problems. From Moloch's Toolbox:
My animating thought is that information and incentives aren't evenly distributed, and further there is an important time dimension to the problem. I expect it should be possible to temporarily disrupt any given equilibrium. From disruption, a better equilibrium could be reached. Alternatively, maybe it is possible to go directly to the better equilibrium.
I think of this like surveying a rock face for blasting. Once we identify the lowest-dynamite method, anyone else with enough dynamite can come along and detonate.
My default assumption is that this will take the traditional form of getting a lot of capital and using that to directly or indirectly provide these incentives. Under this assumption there needs to be a reason for that capital to be available, which is to say a profit; maybe this is realizable through market operations directly. Alternatively this could be the vehicle for a startup's pitch; it seems like this process would qualify as superlative market research.
However, it does occur to me that actors might be more like individuals who work in key positions, rather than entire firms. If that is the case I expect the belief-disparities to be even higher than they would be for firms, and the cost of shifting them probably smaller.
Near as I can tell, no one has really taken a startup-pitch-worth of effort to describe an attempt at shifting an equilibrium, especially not in the sense that we talk about them.