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People often have to reach a joint decision even though they have conflicting preferences over the alternatives. Examples range from the mundane-such as allocating chores among the members of a household-to the sublime-such as electing a government and thereby charting the course for a country. The joint decision can be reached by an informal negotiating process or by a carefully specified protocol. Philosophers, mathematicians, political scientists, economists, and others have studied thedoi:10.1145/1666420.1666442 fatcat:q7cvzkjwurh37braewydaqfmqi