KTH Mathematics  


Mathematical Statistics

SF2972 Game Theory, 7.5 university credits, period 3, 2017


People

  • Lecturers: Jörgen Weibull (jorgen.weibull@hhs.se) and Mark Voorneveld (mark.voorneveld@hhs.se).
  • Examiner: Boualem Djehiche (boualem@math.kth.se)


Course main content

  • Games in normal form:
    • Pure and mixed strategies
    • Nash equilibrium
    • Dominance and rationalizability
    • Perfect and proper equilibrium
  • Games in extensive form:
    • Pure, mixed, and behavioral strategies, Kuhn's theorem
    • Perfect information: Nash equilibrium, subgame perfect equilibrium
    • Imperfect information: sequential and perfect Bayesian equilibrium


Schedule

All lectures begin quarter past, so 10-12 means 10.15-12.00. To find the rooms, please consult the KTH place finder.
Date Time Place Lecturer Contents
Lecture 1 Wed Jan 18 10-12 Q34 Jörgen Introduction and simple examples
Lecture 2 Thu Jan 19 08-10 Q33 Jörgen Finite games in normal form
Lecture 3 Fri Jan 20 15-17 L51 Jörgen Finite games in normal form
Lecture 4 Mon Jan 23 08-10 Q33 Jörgen Finite games in normal form
Lecture 5 Wed Jan 25 10-12 L52 Mark Games in extensive form
Seminar 1 Thu Jan 26 08-10 Q34 Jörgen Problem set 1 and solutions
Lecture 6 Fri Jan 27 15-17 L51 Mark Games in extensive form
Lecture 7 Mon Jan 30 8-10 Q33 Mark Games in extensive form
Lecture 8 Wed Feb 1 10-12 L52 Mark Normal-form vs. extensive-form analysis, invariance
Seminar 2 Thu Feb 2 8-10 Q33 Mark Problem set 2 and Solutions
Lecture 9 Fri Feb 3 15-17 L51 Jörgen Infinite games
Lecture 10 Mon Feb 6 08-10 D34 Jörgen Repeated games
Lecture 11 Wed Feb 8 10-12 M33 Jörgen Repeated games
Lecture 12 Fri Feb 10 15-17 L51 Mark Matching games
Lecture 13 Mon Feb 13 08-10 M33 Mark Mechanism design
Lecture 14 Wed Feb 15 10-12 M33 Mark Summary and overview
Seminar 3 Thu Feb 16 08-10 Q31 Mark Problem set 3 and solutions
Written exam Fri Mar 17 8.00-13.00 (To be updated later on)


Examination

In addition to the written exam there will be three seminars with corresponding problem sets. At each seminar, you should

  • be there in time,
  • bring your written solutions to the problem set, and
  • be prepared to present your solutions in class.
Your solutions do not have to be absolutely correct, and we will not look deeply into them nor provide any written feedback. However, we will check that you have made a serious attempt to solve all the problems. The same goes for your presentations in class. Though the solutions should be handed in individually, cooperation is strongly encouraged when you solve the problems.

To pass the course you must pass all three seminars and the written exam.

The required number of credits for the different grades for the March 17, 2017 exam are as follows.

grade FxEDCBA
required credit sum 111317202328

No aids will be permitted during the exam.

You have to register for the exam in advance, before 27th of February, which can be done through "My Pages". Please see Student affairs office for more info.

  • Exam with solutions March 17, 2017
  • Exam with solutions June 8, 2017

  • Literature


    Old exams

    Old exams are available from the main course page. Note that the content and the design of the course changed from 2011 to 2015.


    To Mathematical Statistics
    To Mathematical Statistics Courses
    Published by: Boualem Djehiche
    Updated: 07/11-2016