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Societies must make collective decisions even when citizens disagree, and they use many different political processes to do so. But how do people choose one way to make a group decision over another? We propose that the human mind contains an intuitive political theory about how to make collective decisions, analogous to people's intuitive theories about language, physics, number, minds, and morality. We outline a simple method for studying people's intuitive political theory using scenarios about group decisions, and we begin to apply this approach in three experiments. Participants read scenarios in which individuals in a group have conflicting information (Experiment 1), conflicting interests (Experiment 2), and conflicting interests between a majority and a vulnerable minority who have more at stake (Experiment 3). Participants judged whether the group should decide by voting, consensus, leadership, or chance. Overall, we find that participants prefer majority‐rule voting over consensus, leadership, and chance when a group has conflicting interests or information. However, participants' support for voting is considerably diminished when the group includes a vulnerable minority. Hence, participants showed an intuitive understanding of Madison's concerns about tyranny of the majority. [ABSTRACT FROM AUTHOR]