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This paper brings together and integrates social interactions and the special relation between quantity and quality. We are able to show that the observed quality income elasticity would be relatively high and the quantity elasticity relatively low and sometimes negative, even if the true "unobserved� income elasticities for quantity and quality were equal and of average value. Moreover, the observed quality elasticity would fall, and the observed quantity elasticity would rise, as parental income rose.
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The purpose of this paper is to analyze the effects of changes in exogenous parameters such as the interest rate, the length of the working period and initial endowments on the shape of the observed earnings profile. Though this problem can be treated in general, we shall restrict ourselves to the following "inverse optimal" problem: find a form of the trade-off function between current and future earnings which leads to a logarithmic earnings function. In the paper we demonstrate that logarithmic earning functions can be derived from optimal behavior. Specifically, the simple case which we analyze leads to piece wise linear log earnings functions. Such a derivation has the advantage that the effects on earnings of exogenous factors can be consistently analyzed. The model is sufficiently simple to allow a clear exposition of the basic elements which govern earnings in a static world. The same elements appear in the more complicated derivations currently available in the literature but it is more difficult to trace their impact. The multiplicative model provides additional information on the robustness of the results previously derived from the Ben-Porath specification. This is particularly important since the "production function" for human capital is not directly observable and alternative specification can only be compared in terms of their implications with respect to observed earnings.
Human capital. --- Human capital --- Management.
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Capital --- Capital investments --- Investissements de capitaux --- Capital investments.
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