Against tiebreaking arguments in priority setting

Fair priority setting is based on morally sound criteria. Still, there will be cases when these criteria, our primary considerations, are tied and therefore do not help us in choosing one allocation over another. It is sometimes suggested that such cases can be handled by tiebreakers. In this paper, we discuss two versions of tiebreakers suggested in the literature. One version is to preserve fairness or impartiality by holding a lottery. The other version is to allow secondary considerations, considerations that are not part of our primary priority setting criteria, to be decisive. We argue that the argument for preserving impartiality by holding a lottery is sound, while the argument for using tiebreakers as secondary considerations is not. Finally, we argue that the instances where a tiebreaker seems necessary are precisely the situations where we have strong reasons for preferring a lottery. We conclude that factors that we consider valuable should all be included among the primary considerations, while ties should be settled by lotteries.