Questions tagged [demand]

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Definition of strictly convex preference

Let $x,y\in X$. Does strictly convex preference (which implies that the utility is strictly quasiconcave) mean that: $x\succsim y$ implies $\alpha x+(1-\alpha)y\succ y$ for any $\alpha\in (0,1)$?
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1answer
65 views

Approaches in demand analysis

What is the difference between Engel Curve and the system approach of demand analysis?
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1answer
71 views

Equilibrium with substitute goods

I am attempting to solve the following problem The demand functions for two substitute goods, the production cost of which equals $c_1$ and $c_2$, are $q_1 = a_1 + b_{11}p_1 + b_{12}p_2$ and $q_2 = ...
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1answer
70 views

Finding restrictions on parameters for a demand function

I have a question that asks: Let $x_1$ be the quantity of a good 1, $p_1$ the price of good 1, $p_2$ the price of good 2, and $M$ is income. Let $๐‘ฅ_1(๐‘_1, ๐‘_2, ๐‘€; ๐ด) = ๐ด๐‘_1^๐›ผ๐‘_2^๐›ฝ๐‘€^๐›พ$ ...
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Determine marginal revenue given demand curve and marginal cost

a)Determine marginal revenue curve if firm can only charge 1 price,List demand curve,marginal revenue curve,,marginal cost,average total cost equations. b)What is optimal price and quantity? c)If firm ...
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32 views

Demand Function in monopoly [duplicate]

I am studying monopoly and I see that most exercises use inverse demand. why use the inverse demand function instead of the demand function?
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2answers
65 views

How to explain negative correlation between quantity sold and expenditure on advertisement?

I have received the following dataset from our economics Professor. It has 15 observations and 4 variables - 'qsold' (quantity sold of product X), psn (price of X), ...
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0answers
29 views

Market shares of Nested Logit demand model

Consider a Nested Logit demand model with two nests, $N_1, N_2$: $N_1$ contains the outside option only (labelled "0"), $N_2$ contains all the remaining alternatives (labelled "$j=1,...,...
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21 views

functional form for a consumption shock

In a DSGE model, how can I add a disturbance/shock in the consumption of households? For example given my utility function $$ U(C,H) = \frac{C_t^{1-\theta}}{1-\theta} - \frac{B}{\eta} H_t^\eta,$$ ...
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73 views

How to derive the Indirect Utility Function and Marshallian Demand from Homothetic Preferences

I need to prove the following relationships: 1 - If preferences are homothetic, then the indirect utility function can be written as $v(p, w) = v(p) ยท w$. 2 - If preferences are homothetic, then the ...
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1answer
51 views

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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2answers
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Why do stocks that donโ€™t pay any dividends change price when the company does better?

I donโ€™t understand why (non-dividend paying) stocks increase in price when a company is successful; is it just because everyone expects that everyone else will find it more valuable because the ...
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0answers
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An Extension to CES Demand

I am reading a paper with an extended CES final good setting: The representative household consists of a continuum of members, indexed by $k$ $C_{t}=\int C_{k, t} d k$ $C_{k, t}=\left(\int_{j \in \...
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1answer
56 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
91 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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42 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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1answer
70 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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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 ...
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1answer
103 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
19 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
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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
59 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
55 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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415 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
75 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
48 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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45 views

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

I don't 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
46 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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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 ...
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1answer
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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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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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35 views

Are all market demands residual demands to some extent?

Iโ€™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
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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
133 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
79 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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49 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
50 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 ...
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1answer
59 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
81 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
161 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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123 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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115 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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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\...
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1answer
105 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
71 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
44 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
522 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
35 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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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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245 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 ...