Capitalism is a societal system which has economic repercussions. The system is a self-organizing one. The fact that it is a self-organizing system rather than a system run by someone at the apex means that it is a flat system, one which is minimally hierarchical.
The philosophical basis of capitalism is freedom. It is the "self" part of self organizing that is all important. It is the self part which distinguishes a democratic system from an autocratic one.