A committee chooses a profile of actions via a sequence of binary votes. Actions are complements, and committee members can be ranked according to their preference for high action profiles. We show that, for a large family of voting procedures, the committee chooses the action profile favoured by an agent who enjoys a central position in the ranking. The chosen profile remains the same if agents are privately informed about their preferences, or if some agents vote sincerely instead of strategically. We obtain similar results for committees facing dynamic stochastic decision problems. We derive applications to problems of multi-input investment, resource allocation, optimal bankruptcy, and production with adjustment costs.

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