Regional Intergration and Migration: An Economic Geography Model with Hetergenous Labour Force



Рг =


Y.

βw*


(16)


Relative prices must then be:

(17)

Free entry drives profit to zero, and the optimal output level is the same for each firm in any

region:

*

x*


α (σ -1)
β


(18)


the associated equilibrium labour input is also constant and given by:

l* = α + βxi = α + α (σ -1) = ασ

(19)


Full employment of the labour force allow us to determine the number of manufacturing

varieties in equilibrium13:

ni = Li
i       у*

li


Li

ασ


(20)


13 Since each variety is produced in one location by a single firm, ni represents both the number of varieties and
the number of firms in region
i.

17



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