9.Suppose that potential migrants make decisions only based on
comparisons of their expected incomes. Now suppose the rural wage
is $1 per day. Urban modern sector employment can be obtained with
0.25 probability and pays $3 per day. The urban traditional sector
pays $0.40 per day. Using this information, and making assumptions
as needed, can you make a prediction about whether there will be
any rural-to-urban or urbanto-rural migration? Explain your
reasoning, stating explicitly any simplifying assumptions, and show
all work. Consider an approach that calculates an expected income
in the urban sector of 0.25(3) + (0.75)(0.40) = 1.05; and note that
this
exceeds the rural wage of 1—would you predict that there will be
rural-to-urban migration? What simplifying assumptions are needed
to make this a valid conclusion? Now, what would the urban
traditional sector daily income have to be to induce no net
rural-urban migration? If wages in all sectors are inflexible, what
else adjusts in this model to lead to equilibrium (how much does it
adjust and what is the intuition)?
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