Well, here's the question: Under the given assumptions, what's the right mix of check-fold, bet out, check-call and CR? Simple as that. I'm not yet proposing any answer, and I'd like to begin with "normal" assumptions regarding villain otherwise.

I am talking about a moderately early phase of a HU battle. Villain can't at this point necessarily assume (if that's what you do) that you bet into him every time (or even part of the time) with air.

I think it's fair to assume for raiser that A at least is over-represented in his range as well as PPs. That seems pretty standard.