It demonstrates your political ignorance that you suggest some equivalence between Anarchy and the Purge; almost as if your conception of both is informed purely by Hollywood and pop culture.

Anarchy ≠ lawlessness. Anarchy in the most simple terms means ‘without rulers’ or ‘without authority’. Anarchists propose a stateless society in which all people engage in voluntary free association. In practice attempting to create an Anarchist society means eliminating coercive forms of authority by single groups or individuals, and instead distributing power as equitably as possible.