"But there is a severe shortage of girls..."

Really?? Care to cite the census data backing up that ridiculous claim? There is no 'shortage' of children at all, and the ONLY reason there is any 'shortage' of children willing to participate in mutually desired touching of any nature with anyone, adult or child, that they enjoy being with is that they are incessantly and forcefully told that they MUST NOT, by stupid shitheads who think it is morally wrong. I won't point any fingers at specific people, but that's the entire cause of THAT problem.

"Whether there would be enough girls that an ordinary pedophile would have a decent chance of satisfaction or not [...] in terms of human happiness it matters a lot."

Change just two things in a hypothetical world to expose this for the absolute BULLSHIT it is: Firstly, as a society, eliminate ANY prohibition against children and adults not related to them spending time together and doing things together they both enjoy doing. Secondly, you as an individual, try treating children with respect and affection for a change, and you'll get respect and affection right back. When you see some child you're attracted to, smile and talk to them (remember, hypothetically, there's no damned stupid society prohibiting you from even talking to them), act like they are allowed to touch you (since there's no prohibition against it), and don't try to hide the fact that you want to also (there's no damned prohibition against it on your side either). What you'll find is that almost EVERY child that you're attracted to will respond positively. Scarcity?? A 'lottery' to find even one?? What a load of stupid shit. And since there's hypothetically no stupid prohibition against it, that affection will lead to every form of interaction that they find pleasurable, including sex. If it wasn't for this damned society prohibiting certain people from spending time together and enjoying what they choose to do together, I could go to any group of children and at least half of the ones I was attracted to would invite me to come home with them to play, and we'd have fun in ways that are STUPIDLY illegal now only because assholes with shit for brains think that kind of mutual fun is morally wrong based on some stupid number.

It is often said on GC that "children are sexual" but what's the deal, people? Do you think that's just some abstract concept? Or are you imagining children in some adult-sized monogamy mold, where if they want to play with one person they CAN'T want to play with anyone else the next day or even the same day?? Or are you all so ugly and mean that no child would ever want to have anything to do with you, you can't imagine one child in a million enjoying any time they spent with YOU, so you project that onto every other pedo? What IS your problem? A 'lottery' to find a willing child?? More like drinking from a firehose, unless you act like some sort of asshole to them.