[tomrod]

Pigeons are domesticated doves. Humans have used them for meat and, if memory serves, communication for a long time.

https://en.m.wikipedia.org/wiki/Feral_pigeon

[jimnotgym]

Some pigeons are domesticated doves, the kind of pigeons you see in town.

Wood pigeons are wild and distinctly different from town pigeons.

https://en.m.wikipedia.org/wiki/Common_wood_pigeon

[RoyalHenOil]

There are over 300 pigeon/dove species, and nearly all of these are wild and have never been domesticated.

However, when people say "pigeon" without specifying a particular species, they are almost always referring to feral rock doves (Columba livia domestica) commonly found in urban environments all over the world.