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Who wants to speak first ? Endogenous debate design with career concerns

We model a committee made up of informed experts whose members have to reach an agreement on a particular decision. They reach an agreement in debating, following a protocol that determines the order of speech in the debate and the type of messages debaters are allowed to send. We consider that members of the committee have career concerns, namely that their payoff depends both on the decision made by the committee and the state of the world. We show that career concerns of the experts may imply that they disagree about the choice of the debate protocol. Yet we show that this disagreement can not be common knowledge. In other words, if expert’s preferences about the debate protocol are common knowledge, then they have to be the same.