>>25069397I assume that the region's premier professor giving away Pokedex's, starters and lectures is mostly a game introduction for new players.
In world, most people wouldn't start out that way.
In Kalos, Sycamore had originally planned to just give your rival (in this case, I'll go with Serena) a Pokemon, as her parents were hotshot trainers, meaning she showed promise as a new trainer, hence his choice to give her a Pokemon.
Your recent move to Vaniville Town was probably convenience in his plan to have trainers search for facts about mega evolution and the added convenience of you both coming from the same town.
In smaller regions like Kanto, Oak giving Red and Green (or Blue) is due to them being in a close town without his access to other promising trainers.
Likely, professors just give out Pokemon and introductions to their journey to locally based and/or promising trainers.
Age seems to be negligible.
Definitely not a utopia, due to their still being cults, gangs and the like, but closer to a utopia than our own world.
You'll have to define homelessness.
Not owning a home and travelling because you choose to is homelessness, but not out of poverty.
Seeing as how money is so easily obtained, I highly doubt anyone would be homeless.
Even if you can't battle, there are many odd jobs about, even if you're not too good at anything.