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We develop a model in which a worker's skills determine the worker's current wage and sector.Both the market and the worker are initially uncertain about some of the worker's skills.Endogenous wage changes and sector mobility occur as labor-market participants learn about these unobserved skills.We show how the model can be estimated using non-linear instrumental-variables techniques.We then apply our methodology to study the wages and allocation of workers across occupations and across industries.For both occupations and industries, we find that high-wage sectors employ high-skill workers and offer high returns to workers' skills.Estimates of these sectoral wage differences that do not account for sector-specific returns are therefore misleading.We also suggest further applications of our theory and methodology.
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