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.
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #7  Due Thursday, April 4
1. The following worth function describes a fourperson coalitional game with transferable
payoff.
v(cfw_
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #8  Due Thursday, April 11
1. Exercise 276.1 (Equilibria of a variant of BoS with imperfect information).
Hint: As discussed in cla
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #9  SOLUTION
1. Exercise 423.1 (Equivalence of payoff functions.)
Suppose that a persons preferences are represented by the discoun
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #10  SOLUTION
Questions 1 and 2 are among the sample final examination questions on Blackboard.
1. Exercise 468.1 (Twoperiod barga
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
LAST NAME, First Name
Case Weatherhead School of Management
ECON 329/429
Spring 2013
Sample Final Examination Questions  A
You have until 3:30 to complete this examination.
Write your name at the top
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #5  Due Thursday, March 21
1. Exercise 120.3 (Strict domination for mixed strategies). Explain your answers.
2. Exercise 156.2 (Exa
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #9  Due Thursday, April 18
1. Exercise 423.1 (Equivalence of payoff functions.)
2. Exercise 426.1 (Subgame perfect equilibrium of f
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 a
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 var
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.
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
outco
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 wil
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #10
Do NOT submit this homework. The solution will be posted on Thursday
Questions 1 and 2 are among the sample final examination qu
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
LAST NAME, First Name
Case Weatherhead School of Management
ECON 329/429
Spring 2013
Sample Final Examination Questions B (includes all A material)
You have until 3:30 to complete this examination.
Wr
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #6  Due Thursday, March 28
1. Exercise 191.1 (Stackelbergs duopoly game with fixed costs).
We have f < ( c)2 /16 because f = 4 and
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #4  Due Thursday, February 21
1. Exercise 114.1 (Mixed strategy equilibria of HawkDove).
2. Exercise 118.3 (Defending territory).
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #8  SOLUTION
1. Exercise 276.1 (Equilibria of a variant of BoS with imperfect information).
Hint: As discussed in class, a strategy
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #3  SOLUTION
1. Exercise 84.1 (Nash equilibrium of secondprice sealedbid auction).
Player n obtains the object when the bids are
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #7  SOLUTION
1. The following worth function describes a fourperson coalitional game with transferable
payoff.
v(cfw_j) = 0 for j
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #4  Revised SOLUTIONS Corrects the solution of problem 5.
1. Exercise 114.1 (Mixed strategy equilibria of HawkDove).
Denote by ui
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #5  SOLUTIONS
1. Exercise 120.3 (Strict domination for mixed strategies). Explain your answers.
(a) A mixed strategy that assigns p
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #6  SOLUTIONS
1. Exercise 191.1 (Stackelbergs duopoly game with fixed costs).
2. Exercise 210.3 (Twoperiod Prisoners Dilemma).
3.
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #1  Due Tuesday, January 29
1. Exercise 16.1 in the textbook. The labeling of examples and exercises in the textbook
includes their
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #2  SOLUTION
1. Exercise 31.2 (HawkDove)
Thegame in the following table models this
situation.
Aggressive P assive
Aggressive
0
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Homework #1  SOLUTION
1. Exercise 16.1. Working on a joint project.
The game in the following table models this situation, and so also does
Game Theory: The Economics of Thinking Strategically
ECON 329

Spring 2014
Case Western Reserve University
ECON 329 & 429
Spring 2013
Sample Final Examination Questions AND SOLUTIONS  B
You have until 3:30 to complete this examination.
Write your name at the top of each a
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 bee
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.
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