The importance of timing in the U.S. response to undocumented immigrants: A recursive dynamic approach

In an attempt to control the flow of undocumented immigrants, successive U.S. governments have considered large scale deportation, amnesties, expanding visa programs, and fining firms who hire undocumented workers. Using a comparative static model, Aguiar and Walmsley (2013), find that amnesties have a positive impact on the U.S. economy. However, such policies are one-time changes in the labor force, whose benefits diminish over time, and which are unlikely to stop the flow of undocumented workers or fulfill the demands of U.S. firms for cheap foreign labor. In this paper, we use a global dynamic model to investigate the long run implications of three policy scenarios: 1) a one-time amnesty for undocumented workers living in the U.S.; 2) a permanent increase in the number of foreign worker visas; and 3) enhanced border security. We find that an amnesty is much less effective than a permanent increase in the number of visas at promoting economic growth in the U.S., while enhanced border control by the U.S. has a small negative effect due to the relative size of the undocumented labor market in the U.S. Combined, the three policies offer a mechanism for supporting U.S. short- and long-term economic growth, while also benefiting suppliers of migrant workers, such as Mexico. •New dynamic general equilibrium model of international migration.•Timing is important when examining the impact of migration policies.•Amnesty is less effective than a permanent increase in visa quotas at promoting economic growth in the U.S.•Although undocumented workers represent a small share of US labor force, policies that affect its supply affect the wages of other types of labor.•Policies that affect the supply of undocumented workers also affect the returns to investment/capital.