Questions tagged [demand]

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Afriat theorem for negative goods

GARP and Afrait theorem assume that the alternative $x\in\mathbb R_+$ is always positive. In some economic contexts, such as financial choices, the attribute can be negative. I wonder if we can ...
3
votes
1answer
106 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 ...
2
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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,...,...
2
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0answers
20 views

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 \...
1
vote
0answers
33 views

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 $\alpha\in (0,1)$?
1
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0answers
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 $$ U(C,H) = \frac{C_t^{1-\theta}}{1-\theta} - \frac{B}{\eta} H_t^\eta,$$ ...
1
vote
1answer
164 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) $\sum_{i=1}^{n}a_i\in (0,K)\;\;\;$ ...
1
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0answers
33 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 ...
1
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0answers
47 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 ...
1
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0answers
212 views

Determine if goods are substitutes or Complements based on demand function

So I have a consumer with a utility function of the Cobb-Douglas form $v(x_1,x_2)=x^{\frac{1}{2}}_1x^{\frac{1}{2}}_2$. From that I constructed the demand function for good 1 and good 2: $x_1=\frac{1}{...
1
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0answers
147 views

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?
0
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0answers
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 $v(p, w) = v(p) · w$. 2 - If preferences are homothetic, then the ...
0
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0answers
50 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 ...
0
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0answers
17 views

How does investment lead to generation of jobs?

I quote from India's Economic Survey 2019 (an official document) - While the claim is often made that investment displaces jobs, this remains true only when viewed within the silo of a specific ...