Multidimensional Sorting under Random Search

Ilse Lindenlaub and Fabien Postel-Vinay

Journal of Political Economy, 2023, vol. 131, issue 12, 3497 - 3539

Abstract: We analyze sorting in a frictional labor market when workers and jobs have multidimensional characteristics. We say that matching is positive assortative in dimension (j, k) if workers with higher endowment in skill k are matched to a job distribution with higher values of attribute j in the first-order stochastic dominance sense. Crucial for sorting is a single-crossing property of technology. Sorting is positive between worker-job attributes with strong complementarities but negative in other dimensions. Finally, sorting is based on comparative advantage: workers sort into jobs that suit their skill mix rather than their overall skill level.

Date: 2023
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Working Paper: Multidimensional Sorting under Random Search (2017)
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