Well, I mean absolutely no disrespect to the thread creator, but if taken literally, the amount of pokemon you can experience are absolutely infinite in game, so automatically they would overpower human resources - as we know them, since in real life we have a few billion, and in game we have...probably less than 300.
If you consider that the amount of pokemon is literally infinite in game, than obviously humans have no chance. However if you consider pokemon to have anything less than infinite forces, humans would probably win, as they have the technology to capture pokemon, and therefore likely have the technology to eliminate pokemon completely.
But if you consider pokemon's population to be infinite, as it is to an in game adventurer, no human has ever taken on something which exists on an infinite level. Even if we started a war with every star in our galaxy, the number would not be infinite.
So, to go on the tangent of infinity, if we had weapons and forces, to take out an infinite amount of pokemon...that would still be no match for an infinite amount of pokemon...it would be a stale mate... interesting question!