So I particularly heard it with reference to Bitcoins, but likely the concepts apply to other forms of currencies as well.
A few Bitcoin/econ related economic commentaries talk about the possibility of convergence of monetary networks. The narrative goes like this. If a region is highly hyper-bitcoinised (people using it as the dominant medium of exchange) and they trade with neighbouring regions (which use their own fiats), then eventually, the different monetary networks with converge to the best money (which, in their opinion, is of course BTC).
Whether BTC is really the best money is a different topic. But my question here is about this hypothetical convergence of monetary networks and even after some Google search, I cannot really find much explanation. Irrespective of whether BTC is one of the competing moneys, does it really happen? Any example from history with competing currencies among different regions?
Even right now, a lot of trade takes places between regions using USD, GBP, EUR etc. But is one of them the best form of money? Is there any possibility that other regions will accept that as the local currency, which is what the convergence seems to imply? Does not seem anything like that is remotely likely.
And then, does it somehow feel contradictory to what is known as Grisham's law? The law states bad money drives good money into hiding, it does not say the bad converges into the good. Seems like these two are totally opposite predictions.
So, to people who are better trained in economics in a more formal setting (and those who can think like an economist), does this convergence of monetary network really make sense? Some references where it has been discussed and the possibilities of it happening will be greatly appreciated.