1
Homework 1
In the previous sections, we covered in detail practice problems that are related to this
problem set. Therefore some steps in this solution are omitted.
1.1
Question 1
Recall that the best predictor under square loss is the expected value an
1 Some Basic Concepts
Suppose members of a population are identied by two dimensions x and y (e.g. age and
weight). Information regarding x and y can be summarized by the joint distribution
function P (x, y), which indicate the proportion of individuals
Economics 336, Fall 2013
C. F. Ma nski
Problem Set 2 (due Tuesday November 5)
1. Consider a population J of school-age children. Assume that the family of each child j 0 J has a strict
preference ordering over a set of three mutually exclusive types of sc
Charles F. Manski
3216 Andersen Hall, 1-8223
[email protected]
Economics 336: Analytical Methods for Public Policy (Fall 2013)
An important practical objective of empirical economic research is to predict the consequences of alternative
public pol
y
y
R
R
y
R
y > R
y < R.
y=R
P (y|x, z = 1) = P (y|x, y > R)
P (y|x, z = 0) = P (y|x, y < R)
P (y|x, y > R) = P (y|x, y < R)
P (y|x, z = 1) = P (y|x, z = 0)
x
R(x)
P (y > t|x) = P (y > t|x, z = 1)P (z = 1|x) + P (y > t|x, z = 0)P (z = 0|x)
y > R(x)
t >
R
z
z=
a
b
=a
z=a
b.
a
a
P (y(a)
b
P (y(b)
P (y(b) = P (y(b)| = b)
= P (y(b)| = b, z = b) P (z = b| = b) + P (y(b)| = b, z = a) P (z = a| = b)
b
P (y(b)| = b, z = b) P (z = b| = b)
P (y(b)| = b, z = a)
P (y(t)
P (y(a)| = b)
P (z = a| = b)
a
1
b
0
x=
z=a z=
Economics 370: Environmental and Natural Resource Economics
Northwestern University
Mark Witte
I.
Population & Food
a. Not something that anyone should want to touch after the spectacular flameouts of
history on this topic.
i. Malthus
ii.The Population Bo
Economics 336, Fall 2013
C. F. Ma nski
Problem Set 1 (due Tuesday October 15)
1. A researcher observes the scores of the population of foreign Ph.D. students who take and pass the
composition part of the TOEFL examination. For each student, the researcher
TOPIC 1
Sokoloff and Engerman
New World economies suffered reversal of fortune
explain differences in development of colonies - US vs. Caribbean, Barbados, Cuba etc how to explain the differences in institutions?
its not national heritage - that britis
Economics 370
Energy
Northwestern University - Mark Witte
Energy
"I'm not educated enough to know the difference
between the terms that we are talking
about, energy and power."
- Congressman Dana Rohrabacher, at a
hearing of the House Committee on Science