The suppression of predation and parasitism, the establishment of an allocation of property,  a means of resolving disputes, and the organization of production must be constructed.

  1. Totalitarian: It can be organized involuntarily: the elimination of private property, planning and slavery in many of its forms.
  2. Capitalist: It can be organized voluntarily by the use of private property, money, and prices.
  3. 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.

https://www.quora.com/What-is-capitalism