Proof: Cobb-Douglass is Special Case of CES

This video shows that the Cobb-Douglass production function is a special case of the constant elasticity of substitution production function.

[ohad]

"For my next trick, I'll take the same CES function and turn it into a Leontief utility function."

[ethanekat]

very helpful! couldn't find another explanation this clear anywhere else, and instructors tend to hand-wave this.

[ujjwalsharma]

Excellent Explanation. Please make a video on the Leontief Production Function as well. Thank you.

[michellekatarine]

This really helped me a lot. I couldn't find any good answer online until I came upon your video. Very well explained - thank you! :)

[khyatichouksey]

Presented with great clarity, I was looking for this. Thank you!

[mariiapanga]

Thank you so much for this detailed video! The most useful explanation that I found.

[vish_youtube]

How can we derive elasticity of substitution in case of fixed coefficient type production function?

[sundaemekss]

why we needs to add natural logs before we check ?

[medsalemdah]

show that the leontief production function is a special case of the CES production function
thank you

[reaniegane]

Your explanation is wonderful. Can you please be a professor?

[emmasarhdaoui]

Could you do it for the Cobb-Douglas Utility Function when ρ -> 0 please?
Initial utility function is: U = [ ∫ from 0 to n of q(ω)^ρ dω ] ^(1/ρ)

[ohad]

Wouldn't an easier way to do this would be to show that the MRS of both CES and CD functions coincide when p=0? 🤔

[glennwatson]

Well, you are definitely not talking down to your audience. Is constant elasticity the same as perfect elasticity?