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The Third International Theroy was the ideology created by Muammar Gaddafi in the 1970s. He based the Libyan government off this ideology, which was inspired by Islamic nationalism, Arab socialism, African nationalism and direct democracy.
Gaddafi intended it to be a alternative to capitalism and communism for Third World countries, since he believed both ideologies proved themselves to be invalid.
So, what would need to happen for another country (most likely in Africa, but take your pick) to adopt something similar to Gaddafi's Third International Theory?