As more people move to the North, the labor supply increases, pushing down the wage rate. In the South, the opposite happens. The decrease in labor supply leads to an increase in wages.
This process continues until the expected net benefit of migration for each individual is zero. The impact of migration on wages and employment depends on the skill levels of the migrants relative to the native population.
If migrants are highly skilled, they may complement the existing workforce in the North, leading to higher wages for both native and immigrant workers. However, if migrants are low-skilled, they may compete with native workers for jobs, leading to lower wages and higher unemployment for both groups.