Questions tagged [elasticity-of-substituion]
The elasticity-of-substituion tag has no usage guidance.
22
questions
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0answers
44 views
Elasticity of substitution
So, this is an economics question but the problem I have is a pure math problem I guess. So I have the following equation:f(x,y)
this function have the elasticity of substitution(EOS): 1/(1-beta). a,...
1
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0answers
9 views
How to simulate changes in quantity demanded when several prices change?
I am not sure if this is a straightforward question or not. Basically, I have a set of products along with their prices and quantities demanded. I also have own and cross price elasticities for each ...
1
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2answers
116 views
If $X$ is a Giffen good then $Y$ must be a normal good
While going through some problems as part of self-study I encountered the following True/False question:
Q. Steven only consumes two goods: $X$ and $Y$. If $X$ is a Giffen good for Steven, then $Y$ ...
2
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0answers
55 views
Relationship between Elasticity of substitution of sectoral outputs and elasticity of substitution of inputs
There are two sectors Y1 and Y2.
Composite output is given by CES form -
Each sector employs Capital and Labor in combination through Cobb-Douglas Production Technology.
The paper mentions that ...
6
votes
1answer
86 views
Econ Intuition for Jacobian inverse in demand system
Consider the following simple linear demand system (in vector notation) with n different products
Demand: $\quad\mathbf{q=B\left(a-p\right)}$
Inverse demand: $\quad\mathbf{p=a-B^{-1}q}$
where $\...
0
votes
1answer
68 views
Elasticity of substitution between leisure in two periods
This is a basic question, but I am new to macro models. The question is from Romer's text.
Assume a household only has one member and has no initial wealth, and the household lives for two periods. ...
0
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1answer
100 views
Second order partial derivative and cross second-order partial derivative
I'm following a paper (Full text available here!) where at some point (pag.17 and 20) the author get the following derivative:
$$\frac{\partial V}{\partial L}=Y-X\frac{dY}{dX}=\alpha X^{-\frac{c}{b}}...
1
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0answers
72 views
Demand Elasticity, Factor Substitution: Independent?
Given $ Y=f(K,L;\sigma) $, the effect on labor from a change in the price of capital can be gauged through a substitution effect and a scale effect:
\begin{align*}
\frac{\partial L}{\partial r} & ...
2
votes
1answer
118 views
Wages, capital: Substitution and Output Effects
Consider a CES production function $Y=f(K,L)$ with elasticity of factor substitution $\sigma>0$.
The substitution effect of higher real wages naturally implies a shift along the isoquant to more $...
1
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0answers
60 views
Elasticity of substitution meaning
If I computed an elasticity of substitution of f.e. 0.9 between capital and labour, does this implicate that the factors are rather well substitutable or not? Since for 0 they are perfect complements ...
1
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0answers
21 views
Raising the elasticity of substitution in an economy
Papers such as de la Grandville (1989) and Klump/de la Grandville (2000) have shown that a higher elasticity of substitution leads to higher economic growth. My question is, if there is a way to ...
2
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0answers
98 views
Linearization of VES production funtions
I know that the linearization of a CES (constant elasticity of substitution) funtion is a bit complicated. There is even an R package dedicated just for that - the econometric estimation and ...
2
votes
1answer
39 views
Empirical measurements of consumption and production elasticity of substitution?
The consumption elasticity of substitution (ES) is the ES between different consumption goods.
The production ES is the ES between factors of production.
My question is: are there any serious ...
2
votes
1answer
246 views
CES production function application problem
I'm currently trying to do some estimations using the micEconCES package in R by Henningsen/Henningsen (2011). My issue is that I am not very familiar with R and I'm trying to implement my own dataset ...
0
votes
1answer
94 views
Interpretation: Elasticitity of Substitution [closed]
I have this production function:
$$P(x_1,x_2)=x_1+x_1*x_2$$
I am trying to find the elasticity of substitution, and I found this:
$$\sigma = -\frac{d \ln (\frac{x_2}{x_1})}{d \ln(\frac{x_1}{1+x_2})}...
4
votes
1answer
307 views
Complementarity in CES Production Function
I'm reading Fisher (1997, Journal of Monetary Economics). From the intermediate goods produced ($Y_t$), the final goods firm allocates into consumption ($C_t$), business capital investment ($I_{b,t}$),...
3
votes
2answers
133 views
Is optimal labour zero when (i) capital fixed and (ii) elasticity of substitution less than 1?
I am getting some "weird results". I find that in a CES, with short term fixed capital and elasticity of substitution smaller than one, it is optimal for firms to hire zero labour, which seems at odd ...
-2
votes
2answers
215 views
How do find elasticity of substitution for this function
The motive of my post is in search of some help in order to understand the correct way to find the elasticity of substitution by means of calculating the following function.
$$f(K, L)=\frac{K^{2}L^{...
1
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0answers
89 views
CES utility in dynamic setting
Suppose I have a multiperiod consumption-saving problem with two or multiple goods able to be consumed.
If the utility within a period is Constant Elasticity of Substitution, ie. $C = (c_1^\frac{\...
1
vote
0answers
189 views
How does one derive the elasticity of substitution with implicit functions?
I would like to derive the elasticity of substitution. I'm aware that such a thread with a very straightforward explanation already exists, but my case is slightly different and I'm not sure how to ...
3
votes
1answer
182 views
Obj function yielding independent goods demand functions
I know that if the objective function (aka utility) is homothetic, demand functions will be linear in income. So for an homothetic demand function to give goods independent of prices other than their ...
5
votes
1answer
511 views
Estimating elasticity of substitution in nested CES functions
I have aggregate data on $L_t, K_t$ and $X_t$, and want to estimate elasticity of substitution parameters, $\gamma$ and $\sigma$ for these factors. Assuming the production function takes the following ...
