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This paper develops a model of costly trade and team production to examine the matching behavior of skilled workers in an open economy. Trade liberalization leads to a redistribution of rents across firms that differ in export status. When heterogeneous workers can bargain effectively and capture these rents, trade liberalization changes the supply of skilled production teams available for hire. Trade is shown to rationalize the matching behavior of workers, causing skill-upgrading within firms and inframarginal improvements to firm-level productivity. Gains in productivity via skill-upgrading are distinct, and complementary, to the gains realized as low productivity firms exit and high productivity firms expand.
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