Comment by tEem21

They are running their own trains and their own liveries. What happens a lot of the time in German regional services is that private operators run routes for DB, because they are required to offer them. There is some actual competition forming in German long-distance trains (Flixtrain), but the important bottleneck in Germain train travel is the rail network, which is owned and (at least supposedly) maintained by the recently formed DB InfraGo