Game Theory and Applications I

Econ 166A, CMPS 166A

Fall 2011

(Course Numbers: Econ166A: 22109, CMPS166A: 22110)

 

Announcements

 

Most final exam questions will focus on material covered since the midterm. However, that material builds on topics covered earlier.

 

Practice questions for final out.

 

AK to practice final:

 

Written questions here.

Note: There is a typo in the replicator function. It should read: p(t=2)=(2*1/2)/2.25= 0.444

Note: There were solutions for problems 5 and 6 in the previous version of the AK. Those were problems that we did not include in your practice final.

 

Book questions here.

 

Grading:

 

         Final: 35%

 

         HW+Class Games: 25%

 

         Midterm: 20%

 

         Project: 20%

 

 

These are style manuals you might find useful to write your project:

 

IEEE

http://www.ieee.org/documents/stylemanual.pdf

AEA

http://www.aeaweb.org/aej/styleguide.php

MLA

http://owl.english.purdue.edu/owl/section/2/11/

 

 

Ant this is a Guide on Plagiarism:

http://library.ucsc.edu/help/research/what-is-plagiarism

 

 

 

Lectures:   

           Tuesdays and Thursdays 12:00 - 1:45 pm

           Physical Sciences 110

 

Sections:

 

         Wednesday 3:30- 4:40

Physical Sciences 130

 

Wednesday 5:00- 6:10

Nat Sci Annex, 103

 

 

Instructors:

Dan Friedman

Office:                               E2 417

Office Hours:                    Tuesday and Thursday 3:30-5 pm

Email:                               dan@ucsc.edu

 

 

John Musacchio

Office:                               E2 Room 557

Office hours:                     Tuesday 2:30-3:30, Wednesday 11-12 (Tuesday (11/29/11) will be from 3:30-4:30)

Email:                               johnm@soe.ucsc.edu

 

Teaching Assistant:

Ciril Bosch

Office: E2 Room 495 or 403

Office Hours: Thursday 4:00-6:00

Email: cirilbosch@gmail.com

                   

Course Description:            

The course introduces students to modern game theory, including applications in social science, biology and engineering. Students are expected to have declared a major in Engineering, Physical and Biological Sciences, or Social Sciences, and to be able to use the tools of differential calculus and basic probability theory.

 

Text Book:

           Games, Strategies and Decision Making, by Joseph Harrington, Worth Publishers, 2008.

              

 

Tentative Lecture Plan:

 

 

Class #

Date

Topics

Required Reading

(from Harrington unless

otherwise noted)

Instructor

(subject to change!)

Assignments

 

1

9/22

 

Class introduction

 

Chapter 1

J. Musacchio and D. Friedman

Class Project

Hwk 1 out

 

2

9/27

Extensive form and strategic form games

 

Chapter 2

Dan Friedman

 

 

3

9/29

Concepts of dominance: weakly and strongly dominated strategies, iterated dominance

Chapter 3

Dan Friedman

Hwk 2 out

Project Group Formation

 

4

10/4

Nash equilibria

(Disc. games of 2 or 3 players)

Chapter 4

John Musacchio

Hwk 1 due (Answer Key)

Quad Game Results

 

5

10/6

N-player, discrete games symmetric and asymmetric

Chapter 5

John Musacchio

Hwk 3 out

Effort Game Results

 

6

10/11

Randomized strategies

Chapter 7

Dan Friedman

Hwk 2 due (Answer Key)

 

 

7

10/13

Nash eq. in continuous games

 

Chapter 6

Dan Friedman

Hwk4 out

RPSD Game results

 

8

10/18

Nash eq. in continuous games

(applications)

 

Chapter 6 (continued)

John Musacchio

Hw3 due (Answer Key)

Hwk5 out

 

9

10/20

Sequential games w/ perfect info

 

Chapter 8

Dan Friedman

Cournot Car Game Results

 

10

10/25

Sequential games w/ perfect info

 

Chapter 8

Dan Friedman

Project Prospectus Due

Hwk4 due (Answer Key)

 

11

10/27

Evolutionary Games

 

Chapter 16

Barry Sinervo

Evo. Games Spreadsheet

 

12

11/1

Evolutionary Games

 

Chapter 17

Barry Sinervo

Hwk5 due (Answer Key)

 

13

11/3

MIDTERM (answer key)

 

 

Sample Midterm

(Answer Key)

Hwk 6 out

 

14

11/8

Repeated games

Chapters 13 & 14

Dan Friedman

 

 

15

11/10

Sequential games w/ imperfect info

Chapter 9

John Musacchio

Hwk 7 out

 

16

11/15

Games with private information

Chapter 10

John Musacchio

Hwk 6 due

Hwk 6 Answer Key

 

17

11/17

Signaling Games

Chapter 11

John Musacchio

Draft of Project Due

 

18

11/22

Cheap Talk Games

 

Chapter 12

John Musacchio

Hwk 7 due

HwK 7 Answer Key

 

 

11/24

Thanksgiving Holiday

 

 

 

 

19

11/29

Project Presentations

 

 

Final Draft of Project Due

 

20

12/1

Project Presentations

 

 

 

 

 

12/5

(Mon.)

FINAL EXAM

Time: 12-3pm