# Questions tagged [leontief]

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### CES utility with negative values

We know that the CES utility function approximates a Leontief utility function as in the following: u(x_1,x_2) = (x_1^{-r}+x_2^{-r})^{-1/r}\overset{r\rightarrow\infty}{\longrightarrow}\min\{x_1, x_2\...
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### First Reference Leontief/Perfect Complements

I googled a lot and I'm still to find: 1. In which paper/book/reference do Leontief [production] functions make their first appearance? Similarly 2. In which paper/book/reference do perfect ...
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### General Equilibrium: Two Consumers with Perfect Substitutes and Perfect Complements Utility Functions

I am attempting to solve a general equilibrium in pure exchange economy problem where the first consumer has an endowment of $(3, 4)$ and a utility function of $U(x) = 3x + 5y$. The second consumer ...
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### how to calculate Leontief demand functions from first order conditions of a CES function when sigma tends to 0?

This question is NOT about how to approximate a CES function to a leontief function. Knowing that: $i= good (\begin{array}{*{20}{c}} {1}&{or}&{2} \end{array})$ \$j= firm (\begin{array}{*{20}{c}}...
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### How to show that a leontief utility function is homothetic?

usually what i do to show that a utility function is homothetic is by either showing that the function is homogeneous or if the MRS is homogeneous of degree 0. However the MRS is not defined. So im ...