索罗增模型的一道题目，初学者有点概念不清，求解答

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19. Suppose that the saving rate, s, can vary as an economy develops. a) The equation for the growth rate of capital per worker, k, is given by Δk/k = s⋅(y/k) - sδ - n Is this equation still valid when s is not constant?
b) Suppose that s rises as an economy develops; that is, rich countries save at higher rate than poor countries. How does this behavior affect the results about convergence?
c) Suppose, instead, that s falls as an economy develops; that is, rich countries save at lower rate than poor countries. How does this behavior affect the results about convergence?
d) Which case seems more plausible - b) or c) above? Explain.        Now suppose that the population growth rate, n, can vary as an economy develops.
e) The equation for the growth rate of capital per worker, k, is still given by Δk/k = s⋅(y/k) - sδ - n Is this equation valid when n is not constant?
f) Suppose that n falls as an economy develops; that is, rich countries have lower population growth rate than poor countries. How does this behavior affect the results about convergence?
g) Suppose, instead, that n rises as an economy develops; that is, rich countries have higher population growth rate than poor countries. How does this behavior affect the results about convergence?
h) Which case seems more plausible - f) or g) above? Explain, giving particular attention to the views of Malthus about endogenous population growth.

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关键词：初学者 求解答 Convergence Population Endogenous 概念 模型 初学者

看一下呀~~

英文的不太懂，有点看的眼花

楼主有 Rommer 教材的课后题答案吗？看起来和课后题很像

A) suppose I = S, the equation holds as long as the national income identity hold, that is, the net capital growth = investment- depreciation- population growth. k here is defined as capital per capita.

B) if poor countries save less than rich countries do, will the poor countries catch up in capital accumulation? No, therefore, there is no convergence.

C) yes, it converges. See the reasonings above.