Peter Skott
27 October 2015
309 Game theory
Midterm exam Fall 2015
1. (35%) An economy has two prot maximizing producers of
widgets A
,
and B. The widgets are slightly dierent, and the demand functions are
given by
QA
QB
=
=
24 2P A + P B
24 + P A 2P B
w
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Generated by CamScanner
Peter Skott
21 October 2014
309 Game theory
Midterm exam
1. (35%) Consider the following simultaneous move game:
Row
Top
Bottom
Column
Left Right
6; 8 2; 1
12; 0 4; 7
Find all pure-strategy Nash equilibria.
There is a unique Nash equilibrium: (bottom,righ
The Homeworks for E309: Lectures on Game
Theory
Naoki Yoshihara
University of Massachusetts Amherst
October 13, 2016
Abstract
1
Homeworks for 3rd week lectures
1. Consider a two-person society with two individuals, Mr. A and Mr. B,
where there is just one
6
Evolutionary Games (8th week)
Evolutionary game theory is to designed to model situations in which players
actions are determined by the forces of evolution. We confine the discussion
to a simple case in which the members of a single population of organ
The Homeworks for E309: Lectures on Game
Theory
Naoki Yoshihara
University of Massachusetts Amherst
September 28, 2016
Abstract
1
Homeworks for 3rd week lectures
1. Consider a two-person society with two individuals, Mr. A and Mr. B,
where there is just o
The Homeworks for E309: Lectures on Game
Theory
Naoki Yoshihara
University of Massachusetts Amherst
September 28, 2016
Abstract
1
Homeworks for 3rd week lectures
1. Consider a two-person society with two individuals, Mr. A and Mr. B,
where there is just o
1
1.1
1.1.1
Basic concepts of game theory (2nd week)
Decision making
Choice and preference
How we decide our own actions in the daily life? Usually, we may behave
according to our own goal and/or our own preference. For instance, when we
decide to eat wha
Game theory (ECON 309)
Fall 2015
TuTh 11;30-12:45, Herter Hall Room 227
Peter Skott
Thompson 836
Tel: 545-6358
Email: pskott@econs.umass.edu
Office Hours: W 2-4 pm
This course gives an introduction to game theory. Game theory is a tool for analyzing the
s
309 Game theory final exam spring 2014
Answer 3 out of 4 questions
1. (33%) Consider the following game:
Row
Top
Bottom
Column
Left Right
4 2 03
1 1 2 0
(a) Are there any pure strategy equilibria?
No
(b) Assuming that chooses a mixed strategy with probabi
309 Game theory nal exam spring 2014
Answer 3 out of 4 questions
1. (33%) Consider the following game:
Row
Top
Bottom
Column
Left Right
4; 2 0:3
1; 1 2; 0
(a) Are there any pure strategy equilibria?
(b) Assuming that Row chooses a mixed strategy with prob
Peter Skott
21 October 2014
309 Game theory
Midterm exam
1. (35%) Consider the following simultaneous move game:
Row
Top
Bottom
Column
Left Right
6; 8 2; 1
12; 0 4; 7
Find all pure-strategy Nash equilibria.
Now assume that the game is made sequential with
5
Homeworks for 7th week lectures
Consider that there is one auctioneer who would like to sell one commodity
and there are 5 individuals, 1, 2, 3, 4, and 5. The auctioneer will apply the 2ndpricing auction rule. Let each individual is private value of the
309 Game theory nal exam fall 2015
Answer key
Answer 3 out of 4 questions
1. (33%) The companies Childlife and Backyard produce and sell wooden
swing sets for children. Each company can set either a high or a low price
for a standard two-swing, one-slide
309 Game theory nal exam fall 2015
Answer 3 out of 4 questions
1. (33%) Consider the following game between a penalty kicker and the goalkeeper:
Kicker
Goalie
Left Center Right
30; 70 60; 40 80; 20
40; 60 20; 80 30; 70
70; 30 60; 40 40; 60
Left
Center
Rig
1. Consider the smoking example in Dixit et al., section 3.2.
(a) Does it seem reasonable to assume that Carmen will anticipate her
addiction?
(b) On p. 74 Dixit at al. accept that sometimes "people do fail to
look ahead far enough, and they do fail to dr
309 Game theory - spring 2011
Final exam
Answer 3 out of 4 questions
1. (33%) Consider a population consisting of two types, A and B; and assume
that the change in the composition of the population is related in the
standard way to the average payos recei
309 Game theory - spring 2011
Final exam
Answer 3 out of 4 questions
1. (33%) Consider a population consisting of two types, A and B; and assume
that the change in the composition of the population is related in the
standard way to the average payos recei