Find cobb-douglas aggregate producntion function

Reference no: EM13183980

Assume a continuous-time solow growth model with no technical progress. The economy is closed and there is no government sector. Labor supply is given by L_t = e^nt, n>0. The average propensity to save out of GDP is s,, with 0<s<1. GDP is given by a Cobb-douglas aggregate producntion function Qt=AK^aL^(1-a), where A is constant. Solve for steady state of kt where kt=K/L

Suppose the Solow model from this question applies to two seperate economies i=1 and i =2. The economies are the same except for A1>A2 and s1<s2. Let c(i)* and y(i)* be the steady state consumption per labor and output per labor for economy i=1,2. Show how C(1)* comparse to c(2)* and how y(1*) compares to y(2)*. (Assume at equilbrium for both k of each economy such that k1=k2). Then solve for k1>k2 and k2>k1.

Please note that I already know how to solve for steady state (I don't need help solving for steady state) and can solve for when k1*=k2* and when k1*>k2*, but having trouble with when k2*>k1*.

Reference no: EM13183980

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