Matching Patterns When Group Size Exceeds Two
研究当群体成员数大于2时的一边匹配问题，发现类型互补性导致排序分组，而类型替代性要求群体间交织，且替代性在观测上可能与互补性相似。
We study one-sided matching when groups with n > 2 members are being formed. Type-complementarity rules out all but the rank-ordered grouping. Type-substitutability (for example, matching to share risk) rules out much less. It requires that every two groups must be “intertwined,” in that each dominates the other at some rank. Intertwined matching is necessary and, in one context, sufficient for any grouping to be a potential equilibrium. But there are many intertwined matching patterns when n > 2. Thus, substitutability can be observationally similar to complementarity; we demonstrate this by showing that dyadic regressions can register intertwined (negative assortative) matching as homogeneous matching.