Econ 407.1
Homework 1
Fall 2016
Due at the beginning of class, Tuesday, September 6
The first two problems refer to the accompanying file Lemma 1.pdf
1. (5 points) Complete the proof of Case 3 in Lemma 1 of Arrows Impossibility Theorem.
2. (5 points) Comp
Name:
Econ 407.2
Spring 2017
First Midterm Answer Key
This exam has 3 questions for a
1. Let A = cfw_a, b, c, d, e and
larger numbers, you can give an
a) (2 points) #P (the number
Tuesday, January 31
total of 25 points.
n = 4. Find each of the following n
Econ 407.2
Spring 2017
Homework 1 Answer Key
Due at the beginning of class, Tuesday, January 24
1. Let A = cfw_a, b, c, d and n = 5. Find each of the following numbers. For the larger
numbers, you can give an expression rather than the actual integer (e.g
Name:
Econ 407.2
Spring 2017
Second Midterm Answer Key
Tuesday, February 28
This exam has 5 questions for a total of 25 points.
1. Let A = cfw_a, b, c, d, e and I = cfw_Curly, Larry, Moe, with preferences
1st
2nd
3rd
4th
5th
Curly
b
a
c
d
e
Larry
d
c
b
a
Name:
Econ 407.2
Spring 2017
First Midterm Answer Key
Tuesday, January 31
This exam has 3 questions for a total of 25 points.
1. Let A = cfw_a, b, c, d, e and n = 4. Find each of the following numbers. For the larger
numbers, you can give an expression ra
Econ 407.2
Homework 2 Answer Key
Spring 2017
Due at the beginning of class, Tuesday, February 21
1. Let A = cfw_a, b, c, d and n = 5. Find each of the following numbers. For the
larger numbers, you can give an expression rather than the actual integer (e.
Economics 306
Midterm #1, Spring 2017
100 Points
100 Minutes
Instructions: Answer the following questions as clearly as you can. Please circle your answers. Partial
credit is available, but we cannot give partial credit unless you show your work. You do n
Econ 407.2
Homework 2 Answer Key
Spring 2017
Due at the beginning of class, Tuesday, February 21
1. Let A = cfw_a, b, c, d and n = 5. Find each of the following numbers. For the larger
numbers, you can give an expression rather than the actual integer (e.
Econ 407.2
Spring 2017
Homework 1 Answer Key
Due at the beginning of class, Tuesday, January 24
1. Let A = cfw_a, b, c, d and n = 5. Find each of the following numbers. For the
larger numbers, you can give an expression rather than the actual integer (e.g
Name:
Econ 407.2
Spring 2017
Second Midterm Answer Key
Tuesday, February 28
This exam has 5 questions for a total of 25 points.
1. Let A = cfw_a, b, c, d, e and I = cfw_Curly, Larry, Moe, with preferences
1st
2nd
3rd
4th
5th
Curly
b
a
c
d
e
Larry
d
c
b
a
Arrows Impossibility Theorem
ECON 407.1, Fall 2016
1.1 Definitions Let A be a finite set of alternatives and let I be a finite set of individuals,
I = cfw_1 . . . , n. Let P be the set of strict preference relations (linear orders) on A. That
is, each P P
Political Economy
ECON 407.1
Fall 2016
Prof. Jordan
Course objective: This course applies economics and game theory to the analysis of issues in collective
decision making.
Prerequisite: ECON 402 (Game Theory) is listed as a prerequisite for this course,
Lemma 1 from the proof of Arrows Impossibility Theorem
ECON 407.1, Fall 2016
Definition: Let S be a set of individuals, S I and let a, b A. Then S is defined to be
decisive for a over b if for any society (Pi )i satisfying
i) aPi b for every i S; and
ii)
Homework 3
100 points
The following two problems will require a lot of calculations in STATA (or however you opt to
execute the calculations). It will generate many pages of output. Here is how your should
organize it. The first pages should contain your