They came up in the 1950's with "Social Market Economy" and created a vast welfare state.
During this election Merkel nonstop reiterated that they want a "social market economy" and had constantly to refute suggestions that they would "cut back on welfare".
The Bavarian sister party of the CDU, the CDU ("Christian Social Union") understands itself as economically even more "social". Their platform this election was anti-capitalist welfare rethoric.
The only real pro-capitalism party in Germany is the FPD... the "classic liberals" (not in the US liberal meaning). They are free-marketeers but also socially liberal (pro-gay agenda etc.) Every other party is more or less etatist and socialist to some degree.
The Christian Democrats in Germany after WW2 were Socialist? Well then Socialism works then because my uncle’s family lived through that miracle economy.
Typo correction: Bavarian sister party of the CDU, the CSU.