Questions tagged [elasticity]

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

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848 views

Constant Elasticity of Substitution: Special Cases

Take an $n$-commodity constant elasticity of substitution utility function, $$U = \left[\sum^n_{i=1} \alpha_i x^\rho_i \right]^\frac{1}{\rho}$$ How do we show the following: Show that as $\rho \...
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1answer
584 views

How to show that the income elasticity of Marshallian demand is equal to unity? [closed]

Suppose that the expenditure function is multiplicatively separable in $\textbf{p}$ and u so that $$e(p,u) =k(u)g(\textbf{p}),$$ where k(·) is some positive monotonic function of a single variable, ...
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2answers
780 views

Effect of a good's inputs on elasticity of supply

I am trying the answer the question: If a good is produced using inputs for which there are no substitutes, the good's A. Elasticity of supply is likely to be small B. Elasticity of ...
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2answers
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What determines the outcome of a price war, and why isn't that outcome reached instantaneously?

Mary is making a hefty profit manufacturing and selling widgets. Jim has some money laying around and he is trying to figure out if he shouldn't start manufacturing some widgets too. In this example ...
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2answers
550 views

Estimating price elasticity of demand

I have 25 quarterly observations and I want to estimate price elasticity of demand. I intented to use GMM-IV estimator. However, I read that it is not good for small samples. What can you suggest me? ...
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3answers
2k views

Why is perfect price inelasticity of demand not considered an exception to the law of demand?

Assume a case of perfect price inelasticity of demand. In such a case, PED = 0 The quantity demanded does not respond to changes in price, i.e. it remains constant, even when price increases ...
5
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1answer
62 views

Why do money markets fluctuate so much?

Compared to commodity markets, money markets move a lot. My guess is that commodity markets are less elastic due to fixed production costs. But I don't know if that is the correct explanation.
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1answer
9k views

Price elasticity of demand in the point of economic equilibrium

The function of demand is:\begin{align*} D(p) = 66-3p-p^2 \\\end{align*} The function of supply is: \begin{align*}S(p) = 4p^2+8p-114\\ \end{align*} The task is to find price elasticity of demand in ...
7
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2answers
979 views

Calibration of utility function parameters controlling labor disutility

Consider the very basic utility function $$ u(c, n) = \log (c) - \alpha \frac{n^{1 + \frac{1}{\nu}}}{1 + \frac{1}{\nu}}$$ Where $c$ is consumption and $n$ is working hours. As the Frisch elasticity ...
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1answer
196 views

Generalized KPR: Frisch Elasticity

Consider the following version of KPR preferences (with $l$ being leisure): $$ U(c,l) = \left(\left(c\right)^\gamma l^\omega\right)^{1-\sigma}$$ I'm after the Frisch elasticity: $$ \frac{\partial(1-...
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4answers
8k views

Intuition: Why does perfectly elastic supply imply no producer surplus?

Foreword: I ask NOT about the whole question; so I quote only the following part of the answer. Source: p 153, Question 7c, Principles of Microeconomics, 7 Ed, 2014, by NG Mankiw = Chapter 7, ...
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2answers
643 views

Horizontal demand curve

If it is assumed that every consumer within a particular region has the same 'valuation' for a certain product, and consumers will purchase no more than one unit of the product, is the market demand ...
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1answer
11k views

How does one derive the elasticity of substitution?

For two goods $x$ and $y$, the elasticity of substitution is defined as $$\sigma \equiv \frac{d\log\left(\frac{y}{x}\right)}{ d\log\left(\frac{U_x}{U_y}\right) }= \frac{\frac{d\left(\frac{y}{x}\right)}...
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1answer
386 views

Estimating Price Elasticity from sales

I'm looking at data for an online shop with clothing items listed at different prices. I'd like to use this information to do some kind of profit maximization (i.e. I'd like to have some understanding ...
5
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1answer
327 views

Housing Supply Elasticity: Proxy for Exogenous House Price Movements

Mian and Sufi (2014) say We use individual and zip code level data, and exploit cross-sectional variation in house price growth to estimate the impact of rising home values on borrowing and ...
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2answers
4k views

What is the difference between constant elasticity of substitution and elasticity of substitution?

What is the difference between constant elasticity of substitution and elasticity of substitution? Are these formulas related? How are they different concepts? I just did a whole problem set involving ...
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1answer
155 views

Relationship between Revenue-Elasticity and Price-Elasticity

I have attempted to solve this problem and would be grateful if someone looked over my solution 5% increase in price results in 5% decrease in total revenue. I need to determine price elasticity of ...
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2answers
3k views

Monopoly pricing under constant elasticity of demand

While reading Ch. 24-Monopoly from Intermediate Microeconomics by Hal Varian (8 th edition), on pg. 441, he writes that a monopolist will never choose to operate where the demand curve is inelastic. I ...
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2answers
458 views

Is elasticity purely an aggregate concept or can it be individualized

First question here. I am not an economist by training, but I do quite a bit of econometric analysis in my job (my background is maths). I often get asked about elasticity, and I am familiar with ...
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1answer
430 views

Is elasticity of substitution between goods empirically constant?

In New Keynesian models, we use a lot of CES assumption, usually Dixit-Stiglitz, to develop an economic model. Is CES, constant elasticity of substitution between goods, empirically (approximately) ...
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2answers
133 views

Find quantity from price elasticity

I have $P_1 = 24$, $Q_1 = 800000$, $P_2 = 32$ and price elasticity $e = -8$ and need to find the function $P(Q)$. I guess I need to find $Q_2$ by $$ \frac{(Q_2-Q_1)/Q_1}{-(P_2-P_1)/P_1} = -8 \...
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1answer
2k views

How does Perfect Elasticity imply infinite quantity for any higher price?

I reference Principles of Microeconomics, 7 Ed, 2014, by NG Mankiw. The graph above is from p 100. [p 99:] ...supply is perfectly elastic. This occurs as the price elasticity of supply approaches ...
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1answer
125 views

Composite Elasticities

Consider the following composite function $$ \lambda(\theta(J)) $$ If you want to think about it in more economic terms, think about it how values of firms $J$ affects market tightness $\theta$, and ...
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0answers
192 views

Production in the long run - calculating wage and rental elasticity of demand

I have data for a business firm for two periods. The data include: output (Q), capital (K), labor (L), wage (W) and the rental rate of capital (R). Here they are: ...
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2answers
2k views

If one always spends the same amount, what's one's price elasticity of demand?

Source: p 109, Question 5.9, Principles of Microeconomics, 7 Ed, 2014, by N Gregory Mankiw = Question 5.7, Principles of Microeconomics, 4 Ed, 2008, by N Gregory Mankiw 9. $\color{green } { \text { ...
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3answers
11k views

Intuition - Why does elasticity vary along a curve?

Source: p 96, Principles of Microeconomics, 7 Ed, 2014, by N Gregory Mankiw Even though the slope of a linear demand curve is constant, the elasticity is not. This is true because the slope is ...
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1answer
494 views

Intuition: Difference in price elasticities of demand due to different bases

Source: pp 91-92, Principles of Microeconomics, 7 Ed, 2014, by N Gregory Mankiw If you try calculating the price elasticity of demand between two points on a demand curve, you will quickly ...
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2answers
1k views

Suitable terminology for the inverse elasticity?

In many microeconomic applications (e.g. monopoly price-setting) the inverse elasticity appears. Explaining such relations to laymen is often awkward because inverse proportionality is not as ...
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1answer
79 views

Am I using quantity and price correctly in trying to calculate price elasticity of supply?

The problem I am considering involves a firm that is a price-taker and sells its good at price $p$. From the production function, I calculated the cost function and the profit-maximizing level of ...
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2answers
542 views

Help with Income Elasticity Exercise in Becker's Economic Theory

On page 18 of his book Economic Theory, Gary Becker provides the reader with the following exercise (no answers given): Exercise Statement: Write the formula $\sum_j K_jN_j = 1$ where $N_j$ is the ...
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1answer
68 views

How does economics cope with production processes that have large lumpy investment requirements?

If seems that all equations (e.g. Price elasticity of supply ) assume that there is a marginal cost of production that is nicely related to the level of output. But clearly you can’t buy half a new ...
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3answers
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Price Elasticity of Demand for Positive Price Increases

What does it mean when the price elasticity of demand %Qd/%P is greater than one? Typically I hear that it means the demand is elastic since if, say, the price decreases by 1% the demand for the ...
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1answer
82 views

Demand function estimation

The model specification is: $$D_{ij} = A + aP_{ij} + bY_{ij} + cN_{ij} + e_{ij}$$ where: $i, j$ = $i$-th year, $j$-th month, $D$= demand (outgoing minutes) $P$ = average price of call, $Y$ = ...
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3answers
3k views

Why absolute value in elasticities and marginal rate of substitution?

This is a point I find very confusing and very hard to justify to students. Depending on the books, one finds many different conventions regarding the sign of elasticities and marginal rate of ...
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1answer
707 views

What are estimates of the elasticity of demand for credit with respect to interest rates?

When interest rates go up one percent (not one percentage point), what happens to demand for credit? I've only been able to find two papers in this area: Gross and Souleles (2001) study credit cards ...
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4answers
2k views

What are Giffen Goods?

What exactly are Giffen goods and are they of purely theoretical interest or has there been empirical evidence of their existence?
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2answers
2k views

How is price elasticity determined in practice?

Price elasticity of demand and Price elasticity of supply are two of the most important concepts of microeconomics, but they're generally explained from a hypothetical standpoint, and little effort is ...
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5answers
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Econometrics: Is elasticity meaningful in my, or any, regression?

A few months ago I interned at this organization; and, as a going away present, I decided to spend my last week, with whatever off time I had, to investigate the factors that affect teacher salaries. ...

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