Questions tagged [mwg]
This tag is for questions relating to the book "Microeconomic Theory" by Andreu Mas-Colell, Michael Whinston, Jerry Green
14
questions
1
vote
1answer
59 views
I need to prove how an increase in output p increases profit-max. Can someone help to understand why IFT implies that z is a unique maximizing point? [closed]
MWG 5C6 asks: "Suppose a concave prod function f(z) with inputs $(z_1,...,z_L-1)$ and also that $\partial f(z))/\partial z_l \geqslant 0$ for all l and $z\geqslant0$ and that $D^2f(z)$ is ...
0
votes
1answer
76 views
Is it enough to prove that $x \not \succsim^* y$?
I'm trying to negate that: $\exists B \in \mathcal{B}$ such that $x,y \in B$ and $x \in C(B)$.
Looks that the negation is equivalent to: $\forall B \in \mathcal{B}(x,y \in B \implies x \not \in C(B))$....
2
votes
1answer
47 views
Is possible that, in a choice structure $(B,C)$, $C(b) = \emptyset$, for some $b \in B$
It is a very simple question but with some implications. I just start reading Mas-Colell and it's not clear for me if it is possible a choice structure, $(B,C(.))$, where $\exists b \in B, C(b)= \...
5
votes
1answer
73 views
Properties on conditional demand correspondence from the textbook of Mas-Colell et al
I have a question on the properties of conditional demand correspondence
Let $z(w,q)$ be the conditional factor demand correspondence, i.e. the solution of the cost minimization problem
\begin{align}
\...
1
vote
2answers
186 views
Finding Cobb-Douglas Hicksian Demand using Duality
I'm trying to follow the in-text examples from Mas-Colell. I can confirm I have the correct first order-conditions and hence the Marshallian demand functions for Example 3.D.1: $u(x_1,x_2) = x_1^\...
0
votes
1answer
48 views
A question from MWG 2F12
This question is from MWG
if walrasian demand function is generated by a rational preference relation then it must satisfy weak axiom.
I cannot prove this statement. How can I do?Thanks alot.
4
votes
1answer
48 views
Adverse Selection: Positive Selection of Worker Types (Mas-Collel)
I'm reviewing some question from Mas-Collel and I am stuck on a chapter 13 question related to adverse selection.
Consider a model of positive selection in which there are workers of two possible ...
3
votes
0answers
121 views
Best companion for Mas-Colell Microeconomic Theory textbook
What are the best sources to accompany MasColell Microeconomic Theory textbook in 1st year of MA in economics?
I mean any sources - textbooks, videos, websites, book companions, etc.
And I mean easy ...
1
vote
0answers
54 views
What are the mathematical prerequisites to understand Whinston and Green's “Microeconomic Thoery”?
I've completed my under graduation in economics where I used micro books like Nicholson and Snyder's Microeconomic Theory and Hal Varian's Intermediate Microeconomics. I am comfortable with topics ...
5
votes
0answers
45 views
Parsing problem 1.D.5 in MWG
I am a little confused about the statement of 1.D.5 in MWG, which I will reproduce here for convenience. I have "solved" the problem, I just don't understand something particular.
$\textbf{(...
4
votes
0answers
118 views
Question about MWG 17.D.1
I tried to solve by myself the exercises of MWG(Mas Colell). However, I think the exercise has an error at 17.D.1.
The 17.D.1 asks us that "verify that there are multiple equilibria". However, The ...
2
votes
1answer
66 views
Why does Figure 2.F.1(b) (MWG page 30) satisfy the WARP (Definition 2.F.1)?
I can see that Figure 2.F.1(a) satisfies the WARP (Definition 2.F.1) in MWG (page 30).
However, as the choice $x(p',w')$ is only feasible under the price-income level $(p',w')$ and $x(p'',w'')$ is ...
3
votes
0answers
71 views
Does quasilinear preference contain rationality, monotonicity or other assumptions?
I have a question when I'm doing exercise 3.C.5(b) of MWG. The exercise asks to prove that a continuous preference on $(-\infty,\infty)\times R^{L-1}_+$ is quasilinear with respect to the first ...
2
votes
0answers
150 views
If a mixed strategy is strictly dominated, then there is a strictly dominated pure strategy in its support?
I am looking at the proof of NE survives the iterated removal of strictly dominated strategies (MWG, ex 8.D.2) and in the solution manual, authors say something like if a mixed strategy is strictly ...
