【正文】
ariable denotes a derivative with respect to time (that is ,X(t) ish shorthand for dx/dt) ntLtL??)()(? The growth rate of knowledge is exogenous and constant gtAtA??)()(? A key fact about growth rates isthat the growth rate of a variable iquals the rate of change of its natural log. That is ntLtLdttdLtdLtLddttLd ????)()()()()(ln)(ln? So rewrite ? Intergral with both side ndt tLd ?)(lnttL ??)(ln? 或者: ? 這里是的初始值( value of L at time 0),為一常數(shù)。 ? :勞動 L和資本 K,且二者可以完全替換 ? 資本 ―― 產(chǎn)出比率或其倒數(shù)資本生產(chǎn)率都是可變的,這個假定又和哈羅德-多馬的假定相反。 assumptions ? Inputs and output ? The solow model focuses o nfour variables: output(Y),capital(K),labor(L), and “knowledge” or the “effectiveness of labor”(A). At any tome, the economy has some amounts of capital, labor, and knowledge, nad these are bined to produce output. The production function takes the form ? Y(t)=F(K(t),A(t)L(t)), ? Where t denotes time ? Two features of the production function should be noted. First, tme does not enter the production function directly, but only through K,L,and A. that is output changes over time only if the inputs to production change. In particular, the amount of output obtained from given quantities of capital and labor rises over time– there is technological progress—only if the amount of knowledge increases. ? Second, A and L enter multiplicatively. AL is referred to as effective labor, and technological progress that enters in this fashion is known as laoraugmenting or Harrodneutral. This way of specifying how A enters, together with the other assumptions of the model, will imply that the ratio of capital to output, K/Y, eventually settes down. ? In practice, capitaloutput ratios do not show any clear upward or do