Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
Department of Economics
ECON 329  Game Theory
Spring 2015
Homework #3
Lectures 8, 9 & 10
Return in Class on Tuesday Feb 26th
Name:
.
1
Total points _ out of 20.
1. Mixed strategy Nash equilibrium (12 points). Find all mixe
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Math 125 Trig 85 Differentiation
:33
d3;
d 2
_ dm (tanm) sec m
d
ur(sin :c)_  cos :6
(SEC 2:) sec :1: tan .7;
(E
d
If possible, dierentiate each function. (Note: we may not yet know an applicable rul'ell)
1 ' rs =_c_2in_m_' 2. g($) :5 seem 3. .y I 3'
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
Department of Economics
ECON 329  Game Theory
Spring 2016
Homework #3
Lectures 8, 9 & 10
Return in Class on Tuesday Feb 23rd
Name:
.
1
Total points _ out of 20.
1. Mixed strategy Nash equilibrium (10 points). Find all mixe
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
Department of Economics
ECON 329  Game Theory
Spring 2016
Homework #2
Lectures 5, 6 & 7
Return in Class on Thursday Feb 11th
Name:
.
1
Total points _ out of 20.
1. Cournot Model of duopoly where firms have asymmetric cost
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Econ 327 Test 1
Name:
I.
Multiple Choice: Circle All That are True for each Question. 10 Total Points.
1. One of the papers presented in class is titled: The Effect of Language on Economic Behavior:
Evidence from Savings Rates, Health Behavior, and Retire
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Economics 327 Problem Set 1
(Due: January 27 at beginning of class)
Stata Questions
All questions for this problem set are based off of empirical work that should be done
in Stata. The Stata datafile is: econ ps1 beauty This file can be found on Blackboar
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
Department of Economics
ECON 329  Game Theory
Spring 2016
Homework #7
Return in Class on Tuesday April 19th
Name:
.
1
Total points _ out of 20.
1. Infinitely repeated Cournot duopoly with zero marginal cost (10 points). A
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
Department of Economics
ECON 329  Game Theory
Spring 2016
Homework #5
Return in Class on March 24th
Name:
.
1
Total points _ out of 20.
1. Stackelberg Model of duopoly where firms have convex costs (8 points).
A product is
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
Department of Economics
ECON 329  Game Theory
Spring 2016
Homework #6
Return in Class on Tuesday April 5th
Name:
.
1
Total points _ out of 20.
1. Repeated Coordination game (8 points).
Consider the following payoff matrix:
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
Department of Economics
ECON 329  Game Theory
Spring 2016
Homework #1
Lectures 1, 2, 3 & 4
Return in Class on Thursday Jan 28th
Name:
.
1
Total points _ out of 20.
1. A simple 3x3 game (6 points). Consider the following ga
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Chenghao Peng
ECON 327
PS 2
Analytical Question
I would run a regression of whether a person has attempted to steal a car on the
hour of they play video games. I would not include both whether has been arrested
and playing video games. That would be an ex
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Chenghao Peng
Econ 327 PS6
Stata Question 1
1. In the first regression, both coefficients for comp and election year are
statistical significant. For each unit increase in competitiveness, the pdd will
increase by 0.0047 and during election year ppd will
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Econ 327 PS7
Chenghao Peng
1. The 4 assumptions required for IV is
(1). Independence assumption: that the instrument is as good as
randomly assigned: it is independent of the vector of potential
outcomes and potential treatment assignments. If this assump
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Chenghao Peng
ECON 327
PS4
17.1
i) Let Nt be the total number of observations in the sample, N1 be the number of
observations with outcome of 1 and N0 be the number of observations with outcome
of 0. In this way, we could get:
N t =N 1+ N 0
N1
N0
y = ; 1
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Econ 327 PS8
Chenghao Peng
1.
a) When running a simple DD regression by using NO2 emission as dependent
variable and postnearEZpass as the independent variable, the coefficient for
the independent variable was 0.817 with SE of 0.0175. Meaning the detected
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
n5
rm .5. M B p w A. l P
i u muff WIN. W3 9M w? 4 WM 1. WW. Wu M &m w; c rm.
k? . We n. x. W I Mwmx 7 J .n . a k EX.
WWWWK; if w Arm, (u bxwnwgm/ w; \Wni in.\. my bf rm Kw y: la n a,
.
mm? mgr. &k w, my ,
Amiw ~10
of a? . .
m xvi pmwxrkxfxt
& 9%.)th
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Math 125 Trig Models
1. A tenfoot 1W Let at be the distance from the wall to the base
of the ladder7 and let 3; be the distance from the oor to the top of the ladder. Write an equation
that relates
(a) 0andx(butnoty) Q Sin9=3i or \Oan9 "3
(b) 0 and 3,1
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
1. (16) Twohundred rafe tickets are sold for $20 each. Winning tickets will be selected at random and
one $1500 prize and thirtyeight $25 prizes will be awarded.
(a) Determine the expected value of the raie for someone who purchases one ticket,
b Deter
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
Department of Economics
ECON 329  Game Theory
Spring 2015
Homework #4
Lectures 14 & 15
Return in Class on Thursday March 26th
Name:
.
1
Total points _ out of 20.
1. Simple Dynamic Game (6 points).
Player 1
L
R
Player 2
Pla
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
Department of Economics
ECON 329  Game Theory
Spring 2015
Homework #1
Lectures 1, 2, 3 & 4
Return in Class on Thursday Jan 29th
Name:
.
1
Total points _ out of 20.
1. Coke versus Pepsi (2 points). Using the concept of the
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
Department of Economics
ECON 329  Game Theory
Spring 2015
Homework #6
Lectures 20, 21, 22 & 23
Return in Class on Tuesday April 21st
Name:
.
1
Total points _ out of 20.
1. Infinitely repeated Prisoners Dilemma game (8 poin
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
Department of Economics
ECON 329  Game Theory
Spring 2015
Homework #2
Lectures 5, 6 & 7
Return in Class on Thursday Feb 12th
Name:
.
1
Total points _ out of 20.
1. Cournot Model of duopoly where firms have asymmetric cost
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
Department of Economics
ECON 329  Game Theory
Spring 2015
Homework #5
Lectures 16, 17 & 18
Return in Class on Thursday 9th
Name:
.
1
Total points _ out of 20.
1. Stackelberg Model of duopoly where firms have convex costs (
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Math 126
Final Exam Spring 2011
1 2
3 1
3 .
1. Consider the system of linear equations with augmented matrix 2 3
1 1 5
(a) For what value(s) of , does the system have no solution?
(b) For what value(s) of , does the system have infinitely many solutions
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Math 126
Spring 2013 Final Exam
1. Twohundred raffle tickets are sold for $20 each. Winning tickets will be selected at random and one
$1500 prize and thirtyeight $25 prizes will be awarded.
(a) Determine the expected value of the raffle for someone who
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Math 126
Final Exam, Spring 2012
1. Twentythree percent of all Internet stocks trade below their initial offering price one year later.
After consulting a financial advisor, Barry purchased 15 Internet stocks.
(a) Find the probability that exactly 5 of B
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Quiz #3
MATH 126
28 January 2014
My SI is:
Name:
CaseID:
Nathan
James
Dustin
Diana
Colin
Remember that we are looking for complete solutions, not just correct answers. Show the details
of your computations. Clearly identify all substitutions used! Correct
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
MATH 126 Quiz #2 NAME:
21 January 2014 CaseID:
My SI is: D Colin D Diana [1 Dustin [:1 James :] Nathan
N 0 notes. Calculators are not allowed on this quiz. Evaluate each integral. Remember that we
are looking for complete solutions, not just correct an
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Math 126
Final Review
Z
1. Evaluate the following integrals: (a)
Z
1
x sin(x/2) dx
2
(b)
1
x2
p
1 x3 dx
1
2. Find the area of the region bounded by the curves y = x3 2x and y = x2 .
3. Evaluate each integral. Clearly identify any substitutions used.
Z
(a)
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Econ 327 PS10
Chenghao Peng
Analytical Questions:
1. Sharp RD is used when treatment status is a deterministic and discontinuous
function of a covariate, xi, it is mostly a regression with treatment and xi to
study the discontinuity. Fuzzy RD exploits dis