Questions tagged [ces-function]

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Normalized CES supply systems: Klump, McAdam, and Willman (2007)

I am trying to use EViews to replicate the article that used the normalized CES supply system from Klump, McAdam, and Willman (2007). When I set technology progress as an exponential function, I can ...
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1 vote
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What is an example of utility function where the proportion of one goes to zero?

I would like an example of an utility function with 2 goods where the proportion of one goes to zero (and the other goes to one). I am thinking of a problem where the household receive an endowment y ...
409 views

CES production function: How to show that $\sigma < 1$ implies essentialness?

Consider the CES production function: $$Y = f(K, L) = (a \cdot K^\rho + (1 - a) \cdot L^\rho )^{1/\rho}$$ The elasticity of substitution is $\sigma = 1/(1 - \rho)$. I remember that, if the elasticity ...
103 views

Elasticity of substitution by regression: Biased results (simulation)

I have the following simulation problem: Consumers, whose utility I know, go shopping for two goods. However, prices differ each time they visit a shop. Therefore, these consumers always purchase ...
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Explain the definition of a primal shifter versus an input shifter parameters in the standard CES function

I have run into a CES function that seems to be very closer to standard but with a small disaggregation of the share parameter into two parameters (primal share) and (input shift). I am hoping someone ...
656 views

Utility function distinguishing between complements/substitutes

Distinguish between complements/substitutes in utility function or production function Hello everyone, I would like to know if there exists some utility function $U(x)$ for $n$ goods that is able to ...
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Confusing on the CRS Property of CES Function

Say a CES function is that $$Y = A\left[\alpha K^{\rho}+ \beta L^{\rho}\right]^{\frac{1}{\rho}}$$. Clearly this function is constant return to scale whatever the values of $\alpha$ and $\beta$ take. ...
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1 vote
60 views

on nested CES--derivation issue

I am reading Sachs and Kotlikoff (2012 NBER) and am wondering how they derive one equation in their paper. The setting is the following: Their model is a variant of the standard two-period ...
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639 views

A utility function (neither perfect substitues nor perfect complements) which stems from a CES f. and leads to gross complements or gross substitutes

So the most prominent preferences are perfect substitutes, perfect complements and cobb-douglas preferences. Perfect complements and perfect substitutes are extreme cases and I was asked whether there ...
160 views

Convex CES Aggregator

I just find it seems that a CES aggregator e.g. $\left[\sum_{j=1}^{J} N_{j}^{(\sigma-1) / \sigma}\right]^{\sigma /(\sigma-1)}$ with $\sigma<0$ is called a general convex aggregator and its limit as ...
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Solving Cost Minimization with CES Production Function and Two Types of Input

A CES aggregator: $y=\left(\int_{0}^{1} y(i)^{\frac{\eta-1}{\eta}} d i\right)^{\frac{\eta}{\eta-1}}$, where $i \in[0,1]$. For each intermediate good: $y(i)=\ell_{r}(i)+\ell_{c}(i) / a(i)$, where $a(i)$...
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Negative elasticity of substitution in a CES production function

I have empirically estimated the elasticity of substitution parameter in the following model: $$Y_t=[(A_1L_tK_{t})^{\rho} +(A_2M_{t})^{\rho}]^\frac{1}{\rho}$$ here, $Y_t$ is output, $A_i$ is a ...
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