Capitalism and the Capitalist System?

[A]ll Social, economic and political orders require: 

(1) The suppression of predation and parasitism,
(2) the establishment of an allocation of property,
(3) a construction of a means of resolving disputes, and;
(4) a means by of organization of production.

Totalitarian: It can be organized involuntarily: the elimination of private property, planning and slavery in many of its forms.

Capitalist: It can be organized voluntarily by the use of private property, money, and prices.

Mixed: It can be organized by a mix of private property, money, and prices, and the totalitarian construction of commons. (Which is what we do today). 

A market forms under any condition in which goods are constructed for the purpose of exchange.