Formation of teams in contests: tradeoffs between inter- and intra-team inequalities
分析了能力不同的选手如何在竞赛中跨队流动形成稳定团队,发现平均分配奖励会导致强者与弱者完全分层、团队间差距最大;而不均等分配则减小团队间差距、增大团队内差距,说明两者存在此消彼长的权衡。
We consider a team contest in which players make efforts to compete with other teams for a prize, and players of the winning team divide the prize according to a prize-sharing rule. Assuming that players differ in their abilities and their abilities are observable, we analyze which team structure realizes by allowing players to move across teams. A team structure is stable if there is no successful head-hunting opportunity. We show that if all teams employ the egalitarian sharing rule, then the complete sorting of players according to their abilities occurs, and inter-team inequality becomes the largest. In contrast, if all teams employ a substantially unequal sharing rule, there is a stable team structure with a small inter-team inequality and a large intra-team inequality. This result illustrates a trade-off between intra-team inequality and inter-team inequality in forming teams.