Using the Hamiltonian in Economics: Example #1

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I just wanted to make a quick video on a application of the Hamiltonian to economics.
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What are you gonna do with this solution? Sell it to the government?

emmanuelameyaw
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Soooo helpful before the final, than you so much!

锅小土豆
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I kinda want to find the growth rate of consumption in a two model sector, but after solving the hamiltonian my answer is in shadow prices and a very complex marginal production of each sector, whereas in Sala I. Martin & Barro is really short. Any help?

JMRG
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In the setting of Lagrangean of the first step, why are you taking the rho(t)_dot*k(t) as equivalent to rho(t)*k(t)_dot? Could you suggest any helpful document or video to understand that?

heechunkim
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Why is capital still in the consumption growth equation at the end?

williambennett