Anderson, Axel and Smith, Lones

The comparative statics of sorting - The American Economic Review - 114(3), Mar, 2024: p.709-751

We create a general and tractable theory of increasing sorting in pairwise matching models with monetary transfers. The positive quadrant dependence partial order subsumes Becker (1973) as the extreme cases with most and least sorting and implies increasing regression coefficients. Our theory turns on synergy—the cross-partial difference or derivative of match production. This reflects basic economic forces: diminishing returns, technological convexity, insurance, and learning dynamics. We prove sorting increases if match synergy globally increases, and is cross-sectionally monotone or single crossing. We use our results to derive sorting predictions in major economics sorting papers and in new applications.- Reproduced

https://www.aeaweb.org/articles?id=10.1257/aer.20210890



Pairwise matching models, Monetary transfers, positive quadrant dependence, sorting theory, synergy, match production, diminishing returns, technological convexity, insurance, learning dynamics, regression coefficients