Questions tagged [recursive-macroeconomics]

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Economic interpretation of the given dynamic equations

How do you interpret these equations $$c_{t+1}/c_t=1-\beta [(c_t/w_t)-a]$$ $$w_{t+1}+c_t =kw_t+q$$ where $\beta$ a, k, q are strictly positive parameters. $c$ is consumption and $w$ is wealth. ——...
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The Cake Eating Problem with Depreciation (Modelling difficulties)

How does one go about modelling the cake eating problem with depreciation? (i.e The cake goes bad over time) The problem I have is the following. Lets define a cake eating problem sequentially as: ...
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Do policy functions exist for Finite Horizon Dynamic programming problems?

I've been looking at the cake eating problem over a finite horizion and have been trying to figure out if we can derive a policy function for such a problem. My work is written below. sequence form ...
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Can you recursively forecast one variable using two variables?

My question is probably very elementary but I haven't been able to find an explanation of recursive forecasting that I fully understand. I've read a journal article that seemed to recursively ...
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Can the Bellman Equation be used for Finite time problems?

Its known that the Bellman equation in recursive macroeconomics is used for the following problems: $$\sum_{t=1}^\infty\beta^tU(c_t)$$ $$s.t. c_t+k_{t+1}=f(k_t)$$ $$k_0>0$$ Im wondering if we can ...