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Immigrants are always accused of stealing people's jobs. Yet, by assumption,standard immigration models -- the neoclassical model andDiamond-Mortensen-Pissarides matching model -- rule out displacement of nativeworkers by immigrants. In these models, when immigrants enter the labor force,they are absorbed by firms without taking jobs away from native jobseekers.This paper develops a more general model of immigration, which allows fordisplacement of native workers by immigrants. Such generalization seems crucialto understand and study all the possible effects of immigration on labormarkets. The model blends a matching framework with job rationing. In it, theentry of immigrants increases the unemployment rate of native workers.Moreover, the reduction in employment rate is sharper when the labor market isdepressed because jobs are scarcer then. On the plus side, immigration makes iteasier for firms to recruit, which improves firm profits. The overall effect ofimmigration on native welfare depends on the state of the labor market.Immigration always reduces welfare when the labor market is inefficientlyslack, but some immigration improves welfare when the labor market isinefficiently tight.

Modeling the Displacement of Native Workers by Immigrants