# Questions tagged [mwg]

This tag is for questions relating to the book "Microeconomic Theory" by Andreu Mas-Colell, Michael Whinston, Jerry Green

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### Why free disposal assumption needed in Prop 5.C.1 and 5.C.2 in MWG?

I'm a little confused as why we needs only the assumption of Y being closed and satisfies free disposal in the MWG prop 5.C.1 and 5.C.2. I think i know why Y needs to be closed but what about free ...
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86 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 ...
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### 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: $\forall B \in \mathcal{B}(x,y \in B \implies x \not \in C(B))$....
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### 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} \...
292 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.
173 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 ...
1 vote
210 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 ...
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### 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 ...
411 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 ...
166 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 ...
118 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 ...