Questions tagged [demand]

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1answer
48 views

Essential goods: How does one restrict the utility function?

I understand that solutions on boundary of the set under consideration when doing constrained optimization are often problematical. Usually it is said that we assume that goods are essential to insure ...
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1answer
75 views

GDP in equilibrium

I have to find the GDP in equilibrium for a IS LM model. It is given that $M^d (Y,r)=M_0+M_1Y-M_2r$ and $M^d=M/P$, $M_0,M_1,M_2>0$ and $M^d$ is money demand. my solution so far I have found that $...
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1answer
37 views

Is my solution to finding the Hicksian demand correct? Maximize $x_1^{1/2} + x_2^{1/2}$ subejct to the budget constraint

Maximize $x_1^{\frac{1}{2}} + x_2^{\frac{1}{2}}$ subejct to the budget constraint $p_1x_1+p_2x_2=m$ Setting up the Lagrange and finding the first-order conditions: $L(x_1, x_2, \lambda)=x_1^{\frac{1}{...
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0answers
14 views

Weak Axiom Revealed Preference on Walrasian Demand

Let p be a price vector and x(p, w) be a Walrasian demand. Warp is not violated in every case if the price vector satisfied when w = 1. This means that Warp must be satisfied x(p,1); x1 * p1 + x2 * p2 ...
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1answer
58 views

Marshall demand for simple CES utility

Assume that preferences are given by a utility function is given $$u(x_1,x_2) = (x_1^\rho + x_2^\rho)^{1/\rho}$$ what then are the Marshall demand given budget constraint $$p_1x_1 + p_2x_2 \leq I$$
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1answer
48 views

Correct and complete characterisation of the Walrasian demand function

I would like to propose to you the following problem and my proposed solution. In particular, I am unsure in how to correctly characterize the Walrasian demand. Can you please have a look at it and ...
4
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1answer
58 views

Perfect substitutes and Lagrange

How does one solve utility maximization of perfect substitutes using Lagrangian function? Consider the problem $$\max_{x,y} ax +by $$ subject to the constraint that $$px + qy \leq I$$ where $a,b,p,q,...
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1answer
18 views

The optimal price for a demand curve with a steep slope

Given the demand function, $$D(p)=A-ap$$ I've found the optimal price, $$p=\frac{A+ac}{2a}$$ Where $c$ is cost and $A,a >0$. My question is how is the optimal price is dependent of $a$ (1) - what ...
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1answer
33 views

Budget Set- closed and boundedness

I am fairly new to economics, and we were introduced to budget sets, The professor mentioned that the budget set $B(p,w) = \{x \in R^{l}_{+}: px \leq w\}$ is non empty and closed - I could prove the ...
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1answer
47 views

CES utility function in an Edgeworth box

Two consumers have the CES utility function $x_1^\beta +x_2^\beta$, for $0<\beta<1$, their initial endowments are $w^1=(1,0)$, $w^2=(0,1)$ Draw the Core of this economy in an Edgeworth box. Note ...
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1answer
49 views

Effect of price on utility

A consumer has an endowment vector $w$; at prices $p$ his demand for the first good exceeds his endowment; $x_1^+(p; pw)>w_1$ then a small increase of $p_1$ will lower his utility. I was discussing ...
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3answers
406 views

Price elasticity of demand always increases with price?

Is there a closed-form continuous demand function whose price elasticity of demand decreases with the price?
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1answer
60 views

Walrasian demand with a twist of Leontief function

A consumer has the utility function $u(x_1; x_2) = \min(x_1; x_2) + 5 \max(x_1; x_2)$. Find its Walrasian demand $x^*(p; w)$. I've tried searching it up when we have two Leontief functions summed ...
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1answer
42 views

Prove the equation

Let $$ x^0=x^*(p^0,w)$$ then $$v(p,px^0)$$ is minimized at $$p=p^0$$ What theorem are we supposed to use in order to solve this, because I am a bit lost. Thanks in advance for all the suggestions/help....
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1answer
33 views

What are the advantages of using demand systems estimation? How is this different from individual demand estimation for product?

I am unable to understand how is demand systems estimation is different from simple demand equation estimation. What's the best resource for getting a history line of demand systems?
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1answer
42 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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1answer
28 views

Can individual consumers ever be price-makers, and can they thereby have major effects on welfare?

Suppose there's a big demand shock on some good X. As long as X has fairly standard supply and demand curves, that'll raise the price. And all of the buyers who would have bought at the lower price ...
2
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1answer
46 views

Is saying that the demand is elastic or inelastic too oversimplified?

As we know that elasticity varies from infinity to zero as we move along a linear demand curve, then is it correct to label any demand curve elastic or inelastic as a whole?
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1answer
181 views

what is monotonicity and strict monotonicity in preferences?

I am really confused between monotonic preferences and strictly monotonic preferences, I saw some video and read certain answer where it is mentioned that the When preferences are monotone / weak ...
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1answer
34 views

Are all market demands residual demands to some extent?

I’ve been thinking about how the introduction of a new product, say a new substitute, impacts market demand. Intuitively I know that it would decrease demand and increase elasticity. I am curious ...
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1answer
27 views

Is whatever they calculated a valid “demand elasticity”?

https://medium.com/@kwrdarisipudi/demand-elasticity-of-iphones-1e3a7bbb9eac They are saying iPhone demand is less responsive to price over time, but I disagree. Income shifts the demand curve. Higher ...
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1answer
88 views

confusion regarding elasticity of a demand curve

The following question is on a quiz at Marginal Revolution University: https://mru.org/practice-questions/calculating-elasticity-demand-practice-questions The elasticity of demand is 2.0. Is the ...
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1answer
72 views

What additional axiom to GARP do we need to generate a differentiable or smooth utility function

After researching for a while, I find this: https://www.jstor.org/stable/1913607?seq=2#metadata_info_tab_contents They come up with an axiom called SSARP that generates a preference with smooth demand ...
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0answers
45 views

Quasi-linear utility. Deriving demand

I was trying to derive a general demand for the good $x$ for this quasi-linear function $u(x,y) = y + 2\sqrt{x}$ subject to standard budget constraint $p_x x + p_y y \leq M$ Using Kuhn-Tucker ...
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1answer
35 views

Interpreting the q-intercept of the demand curve

Given a demand curve for a particular commodity, which I'll interpret as a function $p(q)$, the $p$-intercept can be interpreted as the choke price, i.e. the lowest price at which quantity demanded is ...
2
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1answer
58 views

When the global optimal is outside of the constraint set, what will be the demand?

$u:\mathbb R^n\to\mathbb R$ is a quasi-concave utility function so the indifference curves are convex. $a,b\in\mathbb R^n$ are two points. Our budget set is the (one-dimensional) segment $[a,b]$ that ...
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1answer
50 views

Increase in the price of skateboard wheels cause a decrease/no change in the demand of skateboards? (2 separate markets w/ 2 separate buyers)

Would an increase in the price of skateboard wheels cause a decrease/no change in the demand of skateboards? (2 separate markets with 2 separate buyers) Note: I'm going to be mainly focused on the ...
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1answer
86 views

Generalizing demand for perfect substitutes utility function

I have the utility function: $U(x_1,...,x_n)=a_0+\sum_{i=1}^{n}a_ix_i\;\;\;\;\;\;\;\;\;a_j\in\mathbb{R}_+ \;\;\forall j=\{0,...,n\}$ (maybe $a_0$ could be zero) $\sum_{i=1}^{n}a_i\in (0,K)\;\;\;$ ...
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2answers
122 views

Terminology, is elasticity used as “mean elasticity”?

Given a demand $q$ and a price $p$ sutch that $q=q(p)$, the elasticity of demand is given by, $\epsilon = \frac{p}{q}\frac{dq}{dp}$ which depends on the price. But, when reading papers about ...
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2answers
76 views

elasticity from inverse demand

I was wondering of my thinking here was right: Given $$ e=\frac{dQ}{dp}*\frac{p}{Q}, $$ where $ e $ is elasticity, $ dQ/dp $ is first derivative of demand function, $p$ is price and $Q$ is quantity. ...
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2answers
90 views

Prove that budget constraint is Lower Hemi Continuos (LHC)

I need to prove that the following constraint is LHC. $B=\{x \in R^n : px\leqslant pw)$ But Im not capable of finding and sequence $\{x_n\}$ such that $x_n \in B(p_n,w_n) \forall n$ and that $x_n\...
2
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1answer
61 views

Find Price Elasticity of Demand for p = 0

Given a linear demand curve $q(p) = a - bp$, how would one find the price elasticity of demand at $p = 0$? The quantity that would be demanded is given: $Q_0 = a$ The formula for the price elasticity ...
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1answer
39 views

Would Pilots and Air travel be considered complementary?

Now, my economics teacher and I have a disagreement. According to theory, as the price of air travel (airline tickets) increases, the demand for pilots will decrease as well because fewer people will ...
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2answers
41 views

Remove Linear Good From Quasi-linear Utility Function

Given a quasi-linear utility function: $u(x_1, x_2) = f(x_1) + \beta x_2$, $\beta > 0 $ What would happen if good 2 ($x_2$) is removed from the market? Would the new utility function be: $u(x_1) =...
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1answer
309 views

Why is the graph of unitary elastic demand a hyperbola?

My teacher said that the graph of unitary elastic demand is a parabola: But i fail to understand how in a hyperbola the percentage change of price and quantity demanded remains same. Can someone ...
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1answer
33 views

Why doesnt Law of Diminishing Marginal Utility not affect price effect?

Ok so in my textbook, it is given that the downward slope of the demand-price curve is justified by three factors: Law of Diminishing Marginal Utility Income Effect(Real income) Substitution effect ...
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1answer
21 views

Demand-side effects meaning

I found the term of demand-side effects in the abstract of the following paper: journals-sagepub-com/ DOI/abs/10.1177/0974930619872083 . What does that mean? Can you explain it to me please? I need ...
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1answer
227 views

Price-consumption curve

Suppose a consumer whose income is $b$ has a utility function given by $U(x,y) = 2xy+y^2$ with the price of $x$ being $p_x$ and the price of $y$ being $p_y$. Draw the price-consumption curve assuming ...
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0answers
32 views

making a utility model for CO2 compensating travel demand

I'm trying to make a model which is build around the idea of carbon offsetting fuel (the consumer pays an extra fee per litre fuel for the compensation of the emitted CO2). The goal here is to make a ...
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1answer
142 views

Marshalian and Hickisian Demands and Slutsky Equation

everyone. I have the following question: A consumer has the following indirect utility function: $ V(p_1,p_2,b) = (p_2k-b)p_1^{-1} \left[ \frac{2p_2k - 2b}{p_2} \right]^{-2}, x_2 < k$ a) Find ...
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1answer
40 views

Can the demand curve be a rectangular hyperbola, but $E_D \neq 1$? [closed]

So, I am given the next table: I am asked to find $Q_D$. So the prerequisites to find $Q_D$ is that the price must change, and all other factors of demand must be steady. So, I can find the $Q_D$ ...
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1answer
70 views

Max Utility Function and Finding associated demand curve

I have a max utility function, therefore; U(x,y)= max(2x,y) and I am trying to find the demand function x = x(𝑝x , 𝑝y , 𝑀), note this function cannot be differentiated. I am familiar that the ...
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1answer
163 views

Deriving a demand curve from a Cobb-Douglas utility

Probably a daft question but I derived an equation for a demand curve from a general Cobb-Douglas utility function $$U(x,y)=\beta x^{\alpha}y^{1-\alpha}$$ given a budget constraint $$M=xP_x+yP_y$$ and ...
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1answer
20 views

Unit Elasticity Calculation Question

I'm struggling with a math concept dealing with unit elasticity at an undergraduate textbook level. In most problems, we are given a starting price and an ending price as well as corresponding ...
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3answers
717 views

Why can't I find masks for the corona virus?

Not an economist by far, just a layman, and that's a layman question. How is this possible that it's difficult to find mask for the Corona Virus? I have been several times to 7/11, boots, Watson, and ...
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1answer
115 views

How do I derive the aggregate demand function given two utilities functions?

Assume that we have two people with the same utility function of $U_i = x^{1/2} + y^{1/2}$ where $i=1,2$ and $I_i$ is the income. Let $P_x$ denote price of good $x$ and $P_y$ denote price of good $y$. ...
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2answers
59 views

Derivation of a Demand Equation

A consumer's utility function is $U(x,y)=\sqrt x + y$. Assuming we have an interior solution, I need to show that the demand for $x$ does not depend on income. I know that the consumer consumes where ...
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1answer
67 views

Effects of increased income over short and long run in AD-AS equilibrium model

I've read in a few places that increased income/wages shifts SRAS to the left, which makes sense because firms' costs are increasing to pay for them. My textbook says that there's no effect on ...
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0answers
40 views

On Demand Functions and Engel Curves

A consumer has utility function $U(x,y)=(x−2)y$, where $x≥2$ and $y≥0$. The price of $x$ is $P_x$, the price of $y$ is $P_y$ and the consumer's income is $I>2P_x$. ($x$ and $y$ do not have to be ...
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1answer
50 views

why is aggregate demand equal to aggregate expenditure?

AD is how much the people in market demand (or want to buy) goods and services. On the other hand, AE is actually how much they end up spending. AD = AE = C+I+G+X-M I can demand and not buy? wouldn'...