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
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
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 #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 #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 #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 #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
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
2.0121
L (1.5) TwemytmeepgcemdallmemeLaoeksuadebebmheummoermgpmwater
7 After consulting a nancial adVIsor Barry purchasedTS lIiternet stocks.
(a) Find the probability that exactly 5 of Barry s stocks are selling below their init
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
1
sin
dx
2
2
v = cos(x/2).
(a) We use integration by parts with u = x
x
dv =
du = dx
Z
1
x sin(x/2) dx = uv v du . . . = x cos(x/2) + 2 sin(x/2) + C
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
MATH 126 Quiz #1
14 January 2014
[:l Dustin
D Diana
My SI is: El Colin
NAME:
E] James
CaseID:
D Nathan
No notes. Calculators are not allowed on this quiz. Write clearly! You must show appropriate
work to support your answers. Correct answers without suf
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
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
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
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
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
2.?
7. (a) [8) Thu menu 5mm m; m. 2905 MCAT exam was 24.9. Aar Innwing thousand: of ha:
:1! friends, Pally uUmm that at lunst 305?. of In! Mimi named bum 15.9 and 32.9.
Humming lh: utnnduxd deviaan on the cum.
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