Questions tagged [elasticity]

Elasticity is the measurement of how responsive an economic variable is to a change in another.

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Marginal Product of Labor for CES production function is not decreasing in Capital

In a problem set, I believe my instructor has had a typo but I would like to confirm. Consider the standard CES production function $f(k,n) = (\alpha k^p + (1-\alpha)n^p)^{1/p}, \quad p \in (0,1)$ ...
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elasticity of income if price changes by 10 percent

Arista always spends 10 % of her income on whatzits. Assume that her income increases by some percentage while the price of whatzits remains constant (and that all whatzits cost the same). What is ...
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Can the effect of different prices of gasoline at different gas stations be measured?

I am looking for studies in which the effect on demand of different prices of gasoline at different gas stations in the same area is measured or estimated (on the same day or hour). This question ...
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Simple question on interpretation of elasticity

I am doing a multivariable calculus course and found elasticity interesting. The formula for percentage change with elasticity is $\LARGE\frac{\frac{\Delta y}{y}\large\cdot100}{\frac{\Delta x}{x}\...
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70 views

Monthly price elasticity and possibility of using daily values

I am calculating the price elasticity as a starting point to find a theoretical optimal price that would maximize our revenue. I am looking at 2 years data and to use the price elasticity formula, I ...
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How to maximize total revenue on constant elasticy curve

So to maximize total revenue, we sell at the price on the demand elasticity curve where elasticity=1 right? Lets say on one curve, the elasticity throughout the curve is equal to 1.5? How much should ...
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499 views

Price optimization with demand forecast

I have one year sales data of a retail company and lets say I am forecasting the next month sales for the product. I have got the sales using time series in R. Now I want to forecast the price as well....
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47 views

Price Elasticity of Demand - elastic demand and impact of price reductions on total revenue

A question in relation to Price Elasticity of Demand. My understanding is that when demand is elastic, a price reduction will increase total revenue. If the price of a product changes from \$100 to \...
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Does recent gasoline price sensitivity data show that HR 763 Carbon pricing insufficient for the transportation sector?

Does recent gasoline price sensitivity data show that HR 763 Carbon pricing insufficient for the transportation sector? This answer provided by: "Heh" moved to chat so it can't be seen:"Of course ...
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Market structure determination

I will be conducting a research about the market structure of an outdoor farmers market. I wanted to know what kind of survey questions could help me for example to determine the PES of the market or ...
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What price elasticity of demand can be inferred from this data?

What price elasticity of demand can be inferred from this data? Here is the corresponding data: https://www.energy.gov/sites/prod/files/2018/04/f50/fotw_1024_web.xlsx It seems to me that the (Gas ...
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Why income elasticity of demand of luxury good in greater than 1?

According to textbook and wikipedia, "if income elasticity of demand of a commodity is less than 1, it is a necessity good. If the elasticity of demand is greater than 1, it is a luxury good or a ...
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How high of a carbon fee would reduce global emissions by 50% in 15 years?

OVERVIEW OF THE EMF 32 STUDY ON U.S. CARBON TAX SCENARIOS https://www.worldscientific.com/doi/pdfplus/10.1142/S201000781840002X About half of the EMF 32 models met a 50% reduction in carbon ...
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296 views

Proof coefficient in log-log model is equal to coefficient of elasticity

I am trying to see how we treat $\varepsilon$ in the following proof: Suppose we have a log-log single variable regression model $$ \ln(y) = \alpha + \beta \ln(x) + \varepsilon $$ then take partial ...
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(Microeconomics) Why must fims always lower prices when there is excess supply?

This may seem like a basic question but it has been really bothering me for a while. I understand what excess supply is, and my question is regarding the firms' response to it. All economics texbooks ...
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Is oil supply really inelastic in the short term

Is oil supply really inelastic in the short run? Though it remains evident that in the short run, the known capacities of oil can't be increased and hence we can assume that there remains a upper cap ...
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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,...
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Confidence Intervals for Elasticity in Simple Linear Regression

I'm pretty sure this is a very simple question that I am missing something obvious. I have a simple linear regression with multiple independent variables. I want to calculate the elasticity (no ...
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Elasticity of Durable Goods vs Non-Durable Goods

Does anyone know any seminal reference (either a paper in a top economics journal or a book) that compares own-price elasticities of demand for durable vs non-durable goods? My intuition tells me ...
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54 views

Mathematical framework for modelling the relationship between price and sales of a product

In my job as a data scientist, I am required to model the relationship between the price of a product and the sales or number of unit sold. I am trying to build a simplistic model, the assumptions of ...
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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 ...
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24 views

Effect of a change in quality on price elasticity of demand

I am interested to know how one would expect a change in the quality of a product to affect its price elasticity of demand. Two example will illustrate my confusion: Example 1 Suppose a producer is ...
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Why is elasticity not constant on a straight line graph?

There are different zones of elasticity on a graph, but if we are to imagine a negatively sloped, straight line on a price v quantity graph, we find that elasticity differs based on where we look on ...
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Constant elasticity proof for log-linear demand curve

From Perloff 2008e solved 2.2: Q: Show that the elasticity of demand is a constant e if the demand function is log-linear, ln Q=ln A+e ln p. A: Differentiating with respect to p, we find that (dQ/dp)/...
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Should a Price Elasticity of Demand model exclude items that sold out or marked down from the original price

Consider a Price Elasticity of Demand model built with linear regression to estimate the Percent Change in Quantity Demanded given a Percent Change in Price specifically for specialty items which have ...
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43 views

How do you use a Log-linear model when you have negative Xs?

I am trying to us a Log-linear model to derive an elasticity. However, some of my Xs are negative numbers. Being as the model relies on the natural log of the Ys and the Xs, how can this model work ...
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114 views

Elasticity with perfectly inelastic / elastic demand

When a change in price results in an infinitely large response in quantity demanded, demand is perfectly elastic. The perfectly elastic demand curve is horizontal. At price P, consumers will buy a ...
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Engel’s Coefficient Data

Does anyone know of any good data sources where we can find Engel’s Coefficients by nation?
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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 $Y$ ...
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Homogeneity in Marshallian demand function

I have worked out the expenditure function for a Marshallian demand function, R represents a fixed cost and the questions asks about why the expenditure function is unusual. The answer explains it is ...
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124 views

How does one do a hypothesis test for elasticity?

Given the regression output $$\widehat{\ln cons} = \underset{(0.6018)}{0.4054} + \underset{(0.0744)}{1.2739}\, \ln m - \underset{(0.1902)}{0.6666}\, \ln p_1 -\underset{(0.2645)}{1.6146}\, \ln p_2$$ ...
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Can there be a good which has both Hicksian and Marshallian demand curves vertical?

Consider a perfectly inelastic (Marshallian) demand curve for a good X. Does this good also have a vertical Hicksian demand curve?
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Unitary Elasticity Of Demand Question (PED=1) [duplicate]

So I was having a bit of trouble reasoning with the answer for this particular PED question. It goes like this: PED=1, Quantity Demanded=4,000 units when Price=$12 The question was: Find the price ...
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Calculating Price Elasticity of Demand

Hi I was given the following price vs quantity values. ...
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244 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 ...
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104 views

CES function estimation

For a paper I was using the micEconCES package to estimate the CES production function for a country at the aggregate. For a two-input function with capital and labour I used for the variables the ...
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Elasticity when the demand function is given

Given the demand function, $ q = kp^{-\epsilon} $, how do I calculate the elasticity? As a result, I do know that the elasticity when the demand function is in this form is $ - \epsilon $. But I'd ...
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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 ...
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How to calculate Store/Category level Price elasticity?

I would like to compare different retail stores at category level using the percentage change in the category volume produced by a uniform 1% increase in the prices of all items in the category. What ...
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How to Calculate Price Elasticity of Demand When Perfectly Elastic?

When we have perfect elasticity, the demand curve is a horizontal line and the elasticity of demand coefficient is equal to infinity. How do we arrive at a solution equal to infinity? We know that ...
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What's an example of a resource, raw material that has become scarce?

I'm interested in the elasticity price demand that predicts that as a resource becomes more scarce, it gets more expensive. Regarding oil price this isn't clear. Is there an example of a resource ...
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Exploratory analysis about elasticity

I have been asked to perform some studies about the price elasticity of demand of an online seller. The concept of elasticity used by economists are more clear to me after some research on ...
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Elasticity of employment in respect of reduction of working time

If elasticity of employment in respect to working hours is positive then work time reduction decreases employment and the opposite is true if elasticity is negative? I mean if I want to see how ...
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Calculating Demand curve function from Elasticity of demand, price per quantity and quantity purchased?

For an assignment I have to model the demand function and find consumer surplus based upon elasticity of demand, price per quantity and quantity purchased. Ill copy and paste the assignment below and ...
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Demand Curve Price not perfectly elastic

I'm trying to make the argument that our Sales go up when prices for all our Products are 30% off. Which I believe should be our new Regular Price. but our Demand Curve doesn't support this. Should I ...
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Increase of price of good and effect on elasticity of demand

Price elasticity of demand of good A is 1.20. If we increase a price by 15% what will happen to quantity demanded of good A? My answer is 18% increase since % change in Q = 1.20 * %change P Is this a ...
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54 views

Should Company B enter the market in the following cases

Say Company A has a monopoly producing product E, at a constant marginal cost of $3$ USD. Say the ideal number of units produced is $1$ unit which produces a profit of $2$ USD (=$P_{A}$). Next, ...
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Is there a possibility to have an inferior good (x) in a utility function where x & y have 0 cross elasticity?

A question I got on an exam that I think I messed up on: If we have cross elasticity of 0 (x & y are independent), can x be an inferior good? I answered with a yes. Am I wrong?
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How to do elasticity modeling for products where there is slab pricing like electricity?

I have few product categories eg prod1 prod2. Each category have similar products. So prod1 has 3 similar products with slight difference in features and prod2 has 5 products with slight differences. ...
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Elasticity and logarithms

Let's consider a relationship between $ y $ and $ x $, $ y = a x^b $. Taking log on both sides, we have $$ \log y = \log a + b \log x $$ Now, my textbook, Nicholson and Snyder's Basic Principles and ...