Anarchy is a new social order based on unrestricted liberty by man-made law; the theory that all forms of government rest on violence, and are therefore wrong and harmful, as well as unnecessary.
“The term anarchy comes from the Greek, and essentially means ‘no ruler.’ Anarchists are people who reject all forms of government or coercive authority, all forms of hierarchy and domination. They are therefore opposed to what the Mexican anarchist Flores Magon called the ‘sombre trinity’ — state, capital and the church. Anarchists are thus opposed to both capitalism and to the state, as well as to all forms of religious authority. But anarchists also seek to establish or bring about by varying means, a condition of anarchy, that is, a decentralised society without coercive institutions, a society organised through a federation of voluntary associations.”
As opposed to liberal democracy based on the state and capital, Anarchism is for individual agreements and voluntary associations among people, without coercive laws and authoritarian systems of surveillance and repression.
Anarchists are not opposed to the rules per se, but to state laws which are laws of class designed to impoverish the weakest classes.
It is more than likely that there would be shared rules in a anarchist community, but decentralization would encourage various groups of people with rules and common interests to join together.
On the other hand, freedom would allow each individual to manage themselves and likely to be able to leave their group at any time if they don’t seem to fit.
The issue is to try to prevent someone to impose himself by physical or legal force, on someone weaker, and to be always able to decide for yourself rather than delegating your will to someone who will use it for their own interests.