From Neighborhoods to Nations by Ioannides Yannis M.;
Author:Ioannides, Yannis M.;
Language: eng
Format: epub
Publisher: Princeton University Press
6.4.1 Self-Selection into Cities
Do individuals who self-select to move to and live in a city have above-average unobserved ability relative to the population? We can use the Roy model to analyze this question (Roy 1951). Let unobserved quality (ability) ψi for individual i take the place of human capital in determining individual income. Unobserved ability earns a return η in city . Returning to (6.3) and ignoring variations in the wage rate, we consider two alternative cities, and ’, where individual i would earn incomes yi = ψiη and yi’ = ψi’η’, respectively. Under the assumption that (In ψi, In ψ’i) are jointly normally distributed with means µ, µ’), variances , and covariance σ’ the mean ψi among those who choose over ’ is given by the conditional mean ψi:
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