from the Kansas Fed
But at the national level, the relationship between labor market outcomes and subsidized housing use is unclear. State-level data may paint a more detailed picture. Local public housing agencies allocate resources and subsidies based on local priorities. Moreover, employment conditions and demographic factors are state-specific, causing the use of subsidized housing to vary across states in a manner that national indicators do not capture.
Nicholas Sly and Elizabeth M. Johnson estimate how state-level changes in labor market conditions for particular sex, age, and race groups are associated with participation in a variety of subsidized housing programs. They find that the use of housing choice vouchers tends to fall as more women and prime-age workers obtain employment. Their results highlight the importance of local and demographic-specific labor market conditions, not national aggregates, in explaining subsidized housing use.
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Source
https://www.kansascityfed.org/~/media/files/ publicat/econrev/econrevarchive/2017/ 4q17slyjohnson.pdf