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We first provide a nonparametric inference of the relationship between life expectancy and economic growth using historical data for 18 countries over the period 1820–2005. The obtained shape indicates convexity for low enough values of life expectancy and concavity for large enough values. We then study this relationship using a benchmark model combining "perpetual youth" and learning-by-investing. The generated relationship between life expectancy and economic growth is shown to be strictly increasing and concave. We finally examine two models departing from "perpetual youth" by assuming successively age-dependent earnings and age-dependent survival probabilities. With age-dependent earnings, the obtained relationship is hump-shaped, whereas age-dependent survival laws reproduce the convex–concave shape detected in prior empirical study.  相似文献   
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This paper examines the polarization of economic development in African economies. Based on nonparametric and bipolarization frameworks, we find that countries tend to cluster in two classes, and that bipolarization has been accelerating over the period 1966–2008. We relate the evolution of income bipolarization to specialization in a country. The main sectors that tend to reduce income bipolarization are mining and services. We also study the effects of innovation on income polarization. In particular, we analyze short-run and long-run effects of innovation and their inter-relationship with income polarization. We show that the impact of innovation differs depending on its origin and its type. If innovation is resident, then trademarks outweigh patents. On the contrary, if the origin of innovation is non resident, then patents have a greater effect. Moreover, there is an adjustment process between trademarks residents and patents residents. In the short-run, when trademarks residents are too high, they quickly fall back toward patents residents level. We do not observe such adjustments between trademarks non residents and patents non residents. Last, unexpected shocks that affect patents (res. trademarks) have a permanent (res. transitory) effects on income polarization.  相似文献   
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