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Are agricultural products and crops measured and compared by monetary value, mass, volume or calorie content?

This may seem a weird or stupid question (my first one Economics SE), but.... Most of the time in the media I see, hear or read about percentages, such as, "X-percent of food consumed worldwide ...
Kurt Hikes's user avatar
3 votes
1 answer
71 views

Proving that twice-differentiability implies supermodularity

Letting $\theta: \mathbb{R}^n\times\mathbb{R}^m \to \mathbb{R}$, we say $\theta(x;q)$ satisfies the single crossing property if , for all $x,y\in\mathbb{R}^n$ and $q,r\in\mathbb{R}^m$ such that $x\geq ...
Three Diag's user avatar
1 vote
0 answers
37 views

Comparative Dynamics for system of linear ODEs in normal form in matrix form

I have seen the use of comparative dynamics for systems of linear ODEs (for example, Wymer, 1976) in scalar form, usually in 2 dimensions. But I have not managed to find any worked example for a model ...
Nicola Gambaro's user avatar
0 votes
2 answers
184 views

Ratio of two Jensen inequality

I have these pair of numbers $ (a, b) = (\frac{4}{9}, \frac{1}{9}) $ and $(c, d) = (\frac{1}{2}, \frac{1}{6}) $. (Number mean nothing, just for illustration and simplification) Note that - (a, b) are ...
Elina Gilbert's user avatar
1 vote
1 answer
91 views

How do I use total derivatives of an implicit function to solve this problem?

Suppose a consumer has a utility function $u(x_1,x_2)$, where $u_1>0, u_2>0, u_{11}<0,u_{22}<0,u_{12}=u_{21}>0$. The prices are fixed. The consumer's income comes from working and the ...
Ludwig Gershwin's user avatar
2 votes
2 answers
259 views

Question About Implicit Function Theorem and Comparative Statics - Mathematics for Economists by Simon and Blume Chapter 15 Exercise 32

I am studying Implicit Function Theorem and its application on comparative statics using Mathematics for Economists by Simon and Blume. Here is the question: Consider a pure exchange economy with two ...
Beerus's user avatar
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1 vote
0 answers
45 views

Meaning of "everything else remaining the same"

Suppose in an economy, there is a representative firm, the government and a representative household who all have their individual budget constraints. The household maximizes its utility function and ...
ceterismarrybus's user avatar
2 votes
0 answers
17 views

How to derive (mathematically and intuitively) the relationship between expected price level and natural rate of employment?

We know that $ W = \mathbb{E}(P)f(u, z) $ , so that nominal wage $ W / P = (\mathbb{E}(P) / P)f(u, z) $ From Blanchard. Furthermore, $ W / P = 1/(1+m) $ (where m is defined as the markup on wages to ...
user43188's user avatar
1 vote
1 answer
125 views

Income and Substition Effect: Assumptions: Normality vs. Inferiority of Goods

A question concerning the income and substitution effect when the wage changes Let us assume that the substitution effect leads to more less leisure as the relative price of leasure increases, and ...
Tenetet's user avatar
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2 votes
1 answer
102 views

Total derivative evaluates to zero: problem while doing comparative statics

I am playing with a toy model version for my research and I have an implicit equation defining the equilibrium: $$\phi = \frac {S}{NF(\phi(u-\eta)+\eta - c)}$$ where $S,N,u,\eta,c$ are parameters and $...
gradstudent's user avatar
3 votes
1 answer
76 views

Proof of a comparative statics result in a maximization problem

I am thinking about the following question. Let $f(x,\theta)$ be a strictly concave real-valued function in $x$ and $c(x)$ be a strictly convex real-valued function in $x$, both $x$ and $\theta$ ...
John's user avatar
  • 357
2 votes
1 answer
132 views

Comparative Statics: Income Effect

Much of this is setting up the problem. So if you're familiar it's likely best to start from the very bottom and work up if needed. The question is asking about the income and substitution effect. ...
aisync's user avatar
  • 264
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0 answers
33 views

Comparison of two variables

I have a model where I have to compare the values of y(x) and z(x). But expressions are complex and what I am getting is $x= f(y(x))= \frac{\sin({y(x)}) + \sqrt{(y(x))^3}}{(\frac{y(x)}{1-y(x)}) ^{1/4}}...
Elina Gilbert's user avatar
3 votes
0 answers
33 views

Super and sub modular games

I was trying to read up on super and sub modular games. I have started with basic survey papers like the one by Rabah Amir (2005). Research papers assume a lot of common knowledge (the papers that I ...
Pc1's user avatar
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4 votes
1 answer
419 views

Optimal residential location and multivariate Frechet distribution

I was reading the paper "Housing Constraints and Spatial Misallocation" by Chang-Tai Hsieh and Enrico Moretti. First they define the utility function $$ \ \ V_{ji}=\varepsilon_{ji}\frac{W_{i}...
hbkn's user avatar
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3 votes
1 answer
140 views

Comparative statics of a monopoly

Consider a profit maximising monopolist with linear demand Q(P*) and total production cost C(Q(P*)) who faces a per unit tax t. Suppose the slope of marginal cost is decreasing in some parameter, μ. ...
Javid's user avatar
  • 33
3 votes
1 answer
71 views

Muth-Mills Model

I am exploring the Muth-Mills monocentric city model covered in Brueckner's article. It is given that consumers earn the same income $y$ and buy $q$ housing for a price $p$ at distance $x$ from the ...
kékszajkók's user avatar
0 votes
1 answer
59 views

Comparative statics with multiple equations using calculus

I am currently learning a three market model of the economy, with the goods market, money market and factor market being in equilibrium respectively when- $$Y=C(Y-tY)+ I(r) + (\bar G) + \bar{NX}$$ $$\...
Ishan Kashyap Hazarika's user avatar
3 votes
4 answers
127 views

Why should $dp_2=dm =0$ in this problem?

I am studying Essential Mathematics for Economic Analysis and in chapter 12 problem 10 there is a problem that I can solve but I do not understand why the solution works. The problem asks us to ...
WilliamT's user avatar
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3 votes
1 answer
221 views

Brueckner's basic urban model, comparative statics

I was reading through Jan Brueckner's "Lectures on Urban Economics" (2011), which is a "rigorous, but non-technical" explanation of various topics in urban economics. It was ...
Kitsune Cavalry's user avatar
  • 6,648
3 votes
1 answer
157 views

Comparative statics question with an application

In the state of Mexas, two politicians (Mr. BO, or "Politician 1" and Mr. TC, or "Politician 2") are competing intensely for a senate seat. The two politicians spend on advertising to increase the ...
OGC's user avatar
  • 285
3 votes
1 answer
371 views

Topkis' Theorem

Suppose my optimization problem is stated as follows $\max\limits_x f(x,t)$ $s.t.$ $g(x,t) \leq 0$ I am interested in finding the direction $x^*$ changes with the parameter $t$. Can someone ...
esperanto's user avatar
5 votes
2 answers
131 views

What are some helpful online tools (databases, etc..) for economic analysts?

More specifically, I'm looking for a online database of US economic statistics that is regularly updated. Most of my searches result in older data, that is not particularly useful for what I need it ...
marcbally's user avatar
2 votes
1 answer
78 views

Comparative Statics on Balanced Growth Path

It would be a silly question. In a model, I have found the BGP (balanced growth path) for all key variables. As expected, these variables are constant variables ; $$\mu^{BGP}=\frac{\alpha+\rho+\pi}{...
optimal control's user avatar
5 votes
1 answer
321 views

Converse in supermodularity and single-crossing

Suppose I denote $$f(x,t)=g(x,t)+h(x)$$ where $X\in \mathbb{R}$, $t\in [0,1]$ and $h(x)$ is any function. I want to prove that if the single-crossing property holds in $f(x,t)$, then $g(x,t)$ must be ...
Jacky's user avatar
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1 vote
0 answers
30 views

Analyse the data of two responses while having two different scales

I am working on data analysis these days and stuck on analysis when I have to compare the two kinds of responses. First, I have data on the self assessment, I have asked students to rate them on a ...
Amna Naveed's user avatar
0 votes
1 answer
338 views

Do there exist 'comparative statics' for fixed points?

I have a basic question about comparative statics. In Wikipedia, it is mentioned that: As a study of statics it compares two different equilibrium states... What exactly is an equilibrium? ...
Bravo's user avatar
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