In this paper, we derive necessary and sufficient conditions on team based tasks in order for a selection criterion applied to individuals to produce optimal teams. We assume only that individuals have types and that a team’s performance depends on its size and the type composition of its members. We first derive the selection principle which states that if a selection criterion exists, it must rank types by homogeneous team performance, the performance of a team consisting only of that type. We then prove that a selection criterion exists if and only if replacing the team’s lowest ranked type, as measured by homogeneous team performance, with a higher ranked type increases team performance. Finally, we show that the replace the lowest ranked property rules out most common types of team complementarities, including benefits to diverse types and types that fill structural holes.

在本文中，我们推导了基于团队的任务的必要和充分条件，以便将选择标准应用于个人以产生最佳团队。我们仅假设个人具有类型，并且团队的绩效取决于其规模及其成员的类型构成。我们首先推导出选择原则，该原则指出，如果存在选择标准，则它必须根据同质团队绩效（仅由该类型组成的团队的绩效）对类型进行排名。然后，我们证明，当且仅当用较高排名的类型替换团队排名最低的类型（通过同质团队绩效衡量）可以提高团队绩效时，选择标准才存在。最后，我们表明，替换排名最低的属性排除了最常见的团队互补类型，包括对不同类型和填补结构漏洞的类型的好处。