The way some Australian anarchists solved disputes over a crime for 60,000 years was a concept called payback. The community would get together and decide on a punishment the wronged party can reasonably inflict upon the perpetrator of the crime. Payback serves to satisfy the victim's need for justice and prevent cycles of revenge. After the punishment is given, both sides of the conflict forgive each other and the community can continue to function in unity.

This is just one way a stateless, moneyless, classless society would settle disputes. There are many different ways to run an anarchist government.