PoW is currently an oligarchy, for what it's worth. I was using the term monopolistic in a lose sense (i.e. tending towards large players controling the market [i.e. "centralizing"]).

In most PoS protocols, coins come from either PoW mining before a transition to PoS, or from an initial coin offering. Neither are great solutions IMO, but PoW doesn't really distribute coins very well either.