Questions tagged [elasticity]

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

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Infinite labor elasticity with frisch elasticity

It is from Hansen(1985)'s paper. Suppose that household has utility function $u(c)+v(1-h)$ and they can choose probability to work($h$) as $\alpha$. There is an insurance $b_t$ giving $1$ unit of ...
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Finding the elasticity of a function with respect to a variable from logarithm

I tried to ask this question on Math Stackexchange, but got no answer. I'll try here. I am a bit confused as to how to see elasticity of a function with respect to a variable from logarithm. Lets say ...
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53 views

How is Elasticity at point different from Elastic Demand Curve?

Let's say I have an Elastic Demand Curve as shown below Now, as this is Elastic Demand Curve (...
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Slope of linear demand curve and price elasticity regions along the curve

My textbook mentions that the slope of a linear demand curve gives crucial information regarding price elasticity of demand; namely, that demand is inelastic for steeper curves and elastic for flatter ...
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Elasticity of the factor share

My question concerns exercise 2.4 from Hal Varian's Microeconomic Analysis. Please note that I am not requesting a solution to the exercise, and only asking how to understand what I am being asked to ...
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What is the economic interpretation of $ \partial q / \partial p = - (1/p^2) w^T (D_w x) w $ in profit maximization?

Consider a profit maximizing firm that is perfectly competitive in both input and output markets. It takes $n$ inputs $ x \in \mathbb{R}^n_+ $ and produces $f(x)$ units of output, where $ f: \mathbb{R}...
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Why does price elasticity of demand determine total revenue?

Why is it that when demand is inelastic, price and total revenue move in the same direction, but when demand is elastic, they move in opposite directions? I understand in terms of consumer response, ...
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62 views

Why is Deadweight Loss Bad for Society?

I have learned that in a perfectly competitive market in the absence of externalities, taxes will impose a deadweight loss upon society, due to reduced market participation by consumers and producers. ...
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Why does it make sense for Elasticity to be the ratio of a % change increase to a % change decrease? [duplicate]

So, elasticity, say the price elasticity of demand, is: $$\text{elasticity}=\frac{\text{% change in demand}}{\text{% change in price}}$$ So an elasticity of one corresponds to situations where a 1% ...
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1answer
25 views

How would I calculate the quantity demanded of a product with price elasticity given and price change given? [closed]

"The price elasticity of apples is -0.5. When the price of apples is $2, consumers demand 500 apples a day. If the price of apples rises to $3, how many apples will be demanded?" I really ...
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71 views

Why supply is more elastic at lower prices and more inelastic at higher prices?

In my economics book*, in the lesson explaining what price elasticity of supply is, it's written: In reality, supply curves are likely to be non-linear, so will have a different PES value at ...
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Why do supply curves that start at the origin have a PES value of 1?

In my economics book*, in the lesson explaining what price elasticity of supply is, it's written: Any supply curve that starts at the origin has a PES value equal to 1. The theoretical outcome means ...
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What is the proper way to read and/or express "price elasticity of demand"?

The natural language phrase such as square root of x for a function $Sqrt(x)$ precedes the input with the word of. When we talk of a bivariate function, such as $x/y$ aka $Ratio(x,y)$, we say simply ...
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Finding own price elasticity/cross pirice elastcity

I am looking for a source where I can find the own price elasticity/cross price elasticity of public and private transport for the European countries and each continent. Does somebody know a credible ...
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Why do we call certain linear (affine) demand curves "elastic" or "inelastic" even though PED varies along the slope of an affine function?

I get that PED varies along linear (strictly speaking, affine) demand curves in a way that for a demand function $Q(P)=\alpha - \beta P$: $$|\epsilon_D|=1 \iff \frac{\alpha}{2\beta}=P \land |\...
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Why do lumber prices soar but cost of gypsum does not drop?

The cost of lumber has increased 3 fold over the last year, whereas the cost of other building materials such as gypsum has hardly budged. In North America, lumber is a dominant material used in the ...
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Can an inferior good be necessary?

Usually the definition of necessary goods is the income elasticity between 0 and 1. But can a good with -0.5 income elasticity be considered necessary? There is this link that says that all the ...
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138 views

Is it true that for Cobb-Douglas preferences, the demand function is always iso-elastic?

As we know that $Q*P=const.$ for Cobb-Douglas preferences, we can thus conclude that $\frac{dQ/Q}{dP/P}$ is always $-1$: $$ QP=const. \implies 0=d(PQ)=Q\ dP+P\ dQ \implies \frac{dQ}{Q}=-\frac{dP}{P} $$...
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How do I determine PED from price consumption curve with slope of zero?

Given a budget for two goods $x_1$ and $x_2$, a fixed price for good 2 and three prices for good 1 with the corresponding optimal amount of good 1 ($x_1$), I like to calculate the PED for good 1. By ...
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81 views

Without knowing the Slutsky equation and income/substitution effect, how can I show a certain good is inferior or Giffen?

Say I've got a function $x_1(p_1,p_2,m)$ where $p_1, p_2$ are the prices for good 1, good 2 respectively and m is the income. Now, I haven't heard of the Slutsky equation yet nor the income/...
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Relation of Engel-curve to income elasticity of demand; is the slope of the Engel-curve equal to the elasticity of income?

I learnt that $\frac{\Delta x}{\Delta m} \gt 0$ for normal goods, $\frac{\Delta x}{\Delta m} \lt 0$ for inferior goods, $\frac{\Delta x}{\Delta m} \gt 1$ for luxury goods and $0 \lt \frac{\Delta x}{\...
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Why are constant price elasticities reported?

Price elasticity of demand $\mathrm{e_{D,P} = \dfrac{dD}{dP}. \dfrac{P}{Q^*}}$ clearly depends on the levels of price and quantity. Then why is everywhere (research papers, textbooks etc.) a constant ...
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Calculating elasticity for $y^2e^{x+\frac{1}{y}}=3$

I want to calculate elasticity of y with respect to x for $$y^2e^{x+\frac{1}{y}}=3$$ My attempt: I calculate $y'$ using: $$y'= -\frac{f_1'(x,y)}{f_2'(x,y)} = - \frac{y}{2-y}$$ I calculated this using ...
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Pricing optimisation when elasticities are positives? [duplicate]

I’m performing some exercises in order to get the optimal price of some product such a potato chips, biscuits, drinks, etc. (I’m taking price per unit and sales in units) But I’ve found that some of ...
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Optimal price when elasticity of demand is positive? [closed]

I’m performing some exercises in order to get the optimal price of some product such a potato chips, biscuits, drinks, etc. But I’ve found that some of them have positive elasticities. This can makes ...
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Why do vacationers spend more on food and essentials than the locals?

I cannot think of an answer to this question from the chapter on elasticity in Tyler Cowen and Alex Tabarrok's Modern Principles of Economics, Second Edition: How might elasticities explain why ...
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61 views

Relation between marginal cost and output elasticities

Does anyone know of any results that show the link between marginal cost and the output elasticities analytically? I am looking at production and cost theory books but can't find any results that ...
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When do workers versus capital owners share of income increase?

The share of total income obtained by workers rather than capital owners is for obvious reasons of interest. Assuming that the economy can be desribed by an aggregate production function $$Y = F(K,L)$$...
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Question about using elasticities to compare difference rates but with different normalization

Lets say I am estimating a regression of a death rate per 100k people on an economic shock, so: $y = \beta_o + \beta_1 * X+ error$ where the dependent variable is the death rate, and x is the measure ...
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What's the minimum number of datapoints in order to run a diff-in-diff?

I was thinking about running a diff-in-diff with fixed effect in order to deal with a panel data experiment. The problem is that I don't know how many datapoints I need in order to the experiment be ...
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Does elasticity make sense for different levels of prices? If not, how can we fix that?

Let's say we know that our customers can't make sense of a raise in 5% of the price. It's too little for them to notice. However, an increase above 10% is easily noticed. If this is true, different ...
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Does it make sense to calculate price elasticity in respect to some percentage?

I was trying to calculate how much the price of a product impacts some company I'm analysing. At college, we learn that the price elasticity of demand is the percentage change in demand divided by the ...
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Does Modern Monetary Theory (MMT) provide a useful insight into how to manage the economy?

According to advocates of [Modern Monetary Theory][MMT] (MMT), the primary risk once the economy reaches full employment is inflation, which can be addressed by gathering taxes to reduce the spending ...
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Elasticity of real marginal costs with respect to production

How does one get the formula for the Elasticity of real marginal costs with respect to production ($\omega$)? Woodford(2003) at page 152 says "$\omega$ represents the elasticity of s (real ...
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Homework Question - Price Floor / Elasticity of Demand

I'm currently taking undergrad microeconomics and came across the following question: The current price floor in the agricultural lettuce market makes it such that price of lettuce is 25% higher than ...
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Why wouldn't other firms follow suit if an individual firm decides to cut its price?

Why doesn't the demand curve an individual firm faces in a perfectly competitive market have the same elasticity as it does in a oligopolistic market? Under perfect competition, if a firm increases ...
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362 views

First order condition of log functions in general and interpretation

In the following, a first order condition for a log function is calculated. I know how the left part was calculated, however, I am a little bit confused where the gamma on the right site comes from ...
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120 views

Long-term equilibrium price inelastic?

I have doubts about some economic interpretation: Why is the long-term equilibrium price inelastic? But in the short run, the equilibrium price is not necessarily inelastic. What is the economic ...
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1answer
101 views

Production function and elasticity

Let $y=x_1^\alpha x_2^\beta$ where $\beta=1-\alpha$ be a Cobb-Douglas production function. Find the elasticity of the optimal demand functions (for minimizing production cost) for both goods wrt. $w_2/...
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Elasticity of demand

I'm reading a paper from Pindyck (1988) where $$P_t=X_t-\gamma Q_t.$$ $P_t$ is the price, $X_t$ is the demand state variable, $Q_t$ production and $\gamma\geq0$ is apparently the ''(constant) demand ...
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39 views

Profit-maximization for a monopoly

Between two countries, Richland and Poorland, with a strict ban on cross-border sales agreed with the Poorlandian government. The respective demand functions for both countries are: $Q_{poor} = 10 - ...
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1answer
110 views

Elasticity Cobb-Douglas production function

I am given the production function $y=x_1^\alpha x_2^{1-\alpha}$, where $0< \alpha <1$ I found the demand functions for minimum production cost to be $ x_1^{*}(w_1,w_2,y)=\left ( \frac{w_2}{w_1}\...
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1answer
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What does the following mean: "supply has positive elasticity”?

What confuses me in particular is that I always thought of the concept of ‘elasticity’ with respect to something. That is, supply of x can be elastic with respect to y. Am I missing something?
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Why does short run market supply become more elastic with more firms

I have heard a justification along the lines of this: The supply curve becomes flatter (more elastic) with more firms in the market, because a given increase in price calls forth more production when ...
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1answer
81 views

Solving problem for optimal price (maximize profit) *attempt inside*

Let a demandfunction be defined as $D(p)=B-bp$, where $b,B>0$. A firm has some production cost, $c$, and can set the price $p$ under the constrain given by the Demand. What is the optimal price? ...
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Do barriers to entry increase the (collective) market power of incumbent suppliers?

For example in the case of the labour market lower immigration means that low-skilled labour can ask higher wages or better conditions (other things equal). Low skilled labour may have even put the ...
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61 views

How can I formulate price elasticity of demand equation when I want to add cross price elasticity?

I am trying to calculate the price elasticity of demand for a product where I used the equation log(volume) = elasticity * log(price) + seasonality dummies + trend index + CPI Here CPI is the consumer ...
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1answer
52 views

Elasticity of intertemporal sustitution with composite CRRA function

In the usual CRRA $\frac{c^{1-\sigma}-1}{1-\sigma}$ function we have that the intertemporal elasticity of sustitution $\partial\frac{c_{t+1}}{{c_{t}}{\partial r}}$ is $\frac{1}{\sigma}$. But how can ...
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1answer
55 views

Examples of bounded, positive, inverse demand curves

The three most common examples of demand curves I am aware of are \begin{align} Q&= b - aP,\\ Q&= bP^a,\\ Q&= b e^{-aP}\\ \end{align} The first being our classic linear demand curve, the ...
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31 views

Price elasticity of demand of CES

Anyone would like to help me show the following ( or a book/paper reference would be a great help) " The price elasticity of demand is equal to $\sigma$ for the demand function of CES preference,...

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