Sorting with Teams
研究了异质性企业与多种异质性工人之间的最优分类匹配问题,发现最优匹配由混合区域和反单调区域组成,并刻画了均衡工资与企业价值,模型能解释美国企业内外的收入差异。
We fully solve a sorting problem with heterogeneous firms and multiple heterogeneous workers whose skills are imperfect substitutes. We show that optimal sorting, which we call mixed and countermonotonic, is comprised of two regions. In the first region, mediocre firms sort with mediocre workers and coworkers such that the output losses are equal across all these teams (mixing). In the second region, a high-skill worker sorts with low-skill coworkers and a high-productivity firm (countermonotonicity). We characterize the equilibrium wages and firm values. Quantitatively, our model can generate the dispersion of earnings within and across US firms.