# Questions tagged [elasticity]

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

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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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### 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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### (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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### 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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### 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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### 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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### 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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### 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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### Proof for homogeneity of elasticities

Throughout microeconomic literature i see the following restiriction placed on the nature of elasticities in demand system estimation. This being for some arbitarary good $x$ we require price ...
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### Price and cross price Elasticity of demand [closed]

The question is: Prove or disprove, if the price elasticity of a demand of a good is unitary then the cross price Elasticity of demand of that good is zero. Any hints on how to approach this?
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### Price elasticity on comparison website. How to calculate price elasticity using the coefficient of the products position on site?

I am looking at the following paper. Glenn Ellison & Sara Fisher Ellison, 2009. "Search, Obfuscation, and Price Elasticities on the Internet," Econometrica, Econometric Society, vol. 77(2), pages ...
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### Cross price elasticity of demand vs Price elasticity of demand

Is the cross price elasticity of demand between two goods always lower in magnitude than the price elasticities of demand of each good?
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### Income Elasticity and Convexity of Demand in Income

What needs to be true about the demand function $z(y)$, where $y$ is income, for the income elasticity $\varepsilon = \frac{dz(y)}{dy}/\frac{z(y)}{y}$ to be always greater than one (so that the good ...
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### 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} & ...
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### Elasticity of Substitution between 2 factors, without knowing relative prices

I'm trying to figure out the elasticity of substitution between input $s$ and input $v$. I know that the marginal rate of substitution between these two inputs are $\frac{v^2}{s(v+k)}$, where $k$ is ...
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### How does elasticity impact market efficiency?

I am wondering how the price elasticity of demand (or supply) impacts market efficiency. A more specific question - can we say that in a monopolized market elasticity will be low, and that in a ...
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### Monopoly equilibrium with a completely inelastic demand [closed]

What is the impact of an inelastic demand function on a monopoly production and pricing strategy ? Theory states, that a monopoly will strive to maximize its profits, by arriving to a point where the ...
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### Using an elasticity to evaluate changes in a dependent variable

Often in textbooks and online I see thte definition of an elasticity to be as follows: 1) $\epsilon = \frac{\frac{\Delta Y}{Y}}{\frac{\Delta X}{X}}= \frac{\partial \log Y}{\partial \log X}$ Thus, ...
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### Low capitalist savings rates [closed]

Negative capitalist savings rate in the 30s, does this refute stimulus
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### Conducting an experiment to calculate empirical elasticity with very small price changes

Let's say I want to conduct an experiment where I randomly vary the price of a product up or down by a small amount. Let's say I want to understand the price elasticity of demand for online shoppers ...
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### Unitary Elastic Demand

My teacher defined Unitary elastic demand as demand which has $PED = (-)1$ . The formula I have been told for $PED$ is $\%\Delta Q_d /\% \Delta P$. But how can total revenue $( = P\times Q)$ remain ...
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### PED and change in revenue

Ok so I was arguing with my teacher about this one question: Based on the price elasticity of demand coefficient determine whether the price should be increased or decreased for revenue to increase. ...