Anarchists will reject majority rule because it means that the majority has its will against the minority. Those who believe in a monopoly of morals will reject majority rule because they believe the minority may be right. Now we arrive at the question of economic systems. Libertarians have had strong disagreement on this score. Let us start with an easy case.
Slavery clearly has no place in the Libertarian Republic.
The Libertarian Republic is a Union of Resisters of Domination. A slavemaster is a person who claims a right to dominate and oppress another person because that person is his property. The first generation of American Individualist anarchists, who emerged as the no-government wing of the antislavery movement, understood this well. But we must conclude that property rights are not sacrosanct in the Libertarian Republic. The Libertarian Republic certainly must suppress private property in human beings, that is, slavery.