There should actually be very little inflation, if at all, because of Bitcoin's deflationary nature. Governments wouldn't be able to print more money (which is the primary cause of inflation), and that could come with its own sets of problems.

It would be impossible to tell all in all, because an economy which runs on a deflationary currency would have to be run in a completely different way. Not being able to print additional money is one thing, but imagine an economy full of HODLers who don't want to spend because supply is always short and value always grows. Everything has to be worked on from the ground up to make sure things don't descend into chaos.