I understand that there are anarchist organizations. I'm curious how some of those organizations make decisions.

It will really really depend on the organization in question. Most anarchist actions in my experience are done by small interest groups of between 5 and 20 people. With this size of a group taking a vote is not normally needed. A conversation between everyone is had (sort of like a business meeting) and a consensus is reached. And this is not some formal consensus, more like the consensus that is reached when a group of friends is deciding on where to go eat or what rules are going to be used for a pick up game. If some people are adamantly opposed to this decision then the group may decide to accommodate them if it is not a major issue for everyone else, or that person can choose not to participate in that given action -- no hard feelings, they'll just catch you next time.

Now, optimally, large organizations are made up of such cells as described above -- with a particular cell creating and leading an action, and people who want to participate in that action freely and voluntarily participating. For example, a small group may get together and create some propaganda or organize a book fair (or something more exciting) they can then let a larger group of people outside of the cell what is being done, and people can join up if they want.

Sometimes coordination demands a decision made by and for a large group of people -- honestly though, I have never personally experienced being part of something so large that a conversation could not decide things. Except for Occupy, but group decisions there were largely a train wreck fiasco -- at least in my area.

You may want to check out the way the Zapatistas make decisions though. I find that very anarchistic. Basically they use a version of family/clan/interest group based representatives creating action committees. Seems to work really well for them. My favorite anarchist theoretical books, like Bolo Bolo, paint a similar picture.

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