Earlier quoted context omitted.
You are not living under socialism, but under capitalism, don't try to paint it another way.
No, the defined economic model in Germany is called "Social market economy", not capitalism. It is one of the systems furthest removed from capitalism that is not yet Socialism (or similar systems). It's a regulated market economic model and it is designed to sit exactly in the middle between laissez faire capitalism and socialism. You can read this up if you like.
The goal of social market economy is to 'correct undesirable effects' of free markets. Depending on your perspective, you categorize it as capitalist, socialist or in-between system.