# Questions tagged [balanced-growth]

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### Balanced growth path with specific technology

Resource constraint: $Y_t =C_t +I_t$ CRS Production function: $Y_t =K_t^{\alpha} (N_t X_t )^{1-\alpha}$ Investment function: $I_t =\frac{1}{q_t}(K_{t+1} -(1-\delta)K_t )$ The labor-augmenting ...
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Consider a Solow model without technological progress so that the steady state $k^*$ occurs at $sf(k^*) = (n+\delta)k^*$ where $n$ is population growth rate, $\delta$ is capital depreciation rate and $... 3 votes 3 answers 85 views ### Proving a result In Jones (1999) "Growth: With or Without Scale Effects" Jones (1999) builds his semi-endogenous growth model where output is produced with only one input, labour, in the following "research" function: $$Y = A^\alpha L_Y$$ Labour is augmented with ... 0 votes 1 answer 34 views ### Wage Growth Rate in the R&D Model I am trying to understand the R&D model and how to calculate the growth rate of wage in this model. There is no equation given, but it’s stated that : household income must equal total ... 2 votes 0 answers 52 views ### The maximum sustainable yield model: clarifications I would like your help to understand the Maximum sustainable yield model. This is what I understood with some questions. We consider a population of individuals who are born, possibly reproduce ... 2 votes 1 answer 88 views ### Why are we using exp(.) as the functional form in the household maximization problem inside the RCK model? Currently I'm studying the RCK model at my Advanced Macroeconomics I classes. A question arose almost immediately when I saw the utility function of a household in this model. The question is: why ... 1 vote 1 answer 515 views ### Why does capital initially reduce and then rise with an anticipated future decrease in taxes in the RCK model? Consider the version of the RCK model where there is a government that runs a constant balanced budget. At$t_0$, the economy is in steady state, with constant tax$T_{old} > 0$Then, at$...
In my case, the utility function is CEIS and discrete, the production fuction is $f(k_{t})=k_{t}^\alpha$, the budget constraint is $f(k_{t})+(1-\delta)k_{t}=c_{t} + k_{t+1}$. I use Jacobian matrix and ...