Rescue Cases, the Majority Rule, and the Greatest Number

In a recent paper, Tim Henning argues that the result that we should save the greatest number in rescue cases can be established on procedural grounds without making use of the aggregation of interests. He first argues that we ought to respect the affected persons' equal claims to have a say in the rescue decision and that this can only be achieved by the majority rule, which consists in giving each affected person an equal vote. Then he argues for the second claim that if everyone votes in their self-interest, then the greatest number will be saved. I present a class of cases in which the second claim fails. This establishes that even if self-interested voting is assumed, the majority rule does not always lead to the greatest number being saved.