KTH Mathematics |

SF2972 Game Theory, 7.5 university credits, period 3, 2013
## People- Lecturers: Jörgen Weibull (jorgen.weibull@hhs.se), Mark Voorneveld (mark.voorneveld@hhs.se) and Jonas Sjöstrand (jonass@kth.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
- On Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 2012: matching and market design
- Combinatorial game theory:
- Impartial games: nim, nimber, Sprague-Grundy's theorem
- Partizan games: Hackenbush, Conway's abstract theory, surreal numbers
## ScheduleAll lectures begin quarter past, so 10-12 means 10.15-12.00. Room 3721 is on floor 7 at the department of mathematics, KTH. To find the other rooms, please consult the Classroom Search Engine.
## Required readingsJörgen's part of the course:
Marks's part of the course: a reading guide. Jonas's part of the course: a checklist. ## ExaminationIn 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.
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 written exam will be divided in two: part A on classical game theory and part B on combinatorial game theory. Part A will be scored from 0 to 20 credits and part B from 0 to 15 credits, so the maximal number of credits you can get is 35. The required number of credits for the different grades are as follows.
No aids will be permitted during the exam. ## Literature
- Hans Peters, Game Theory: a Multi-Leveled Approach, Springer 2008.
- J. H. Conway, On Numbers and Games, A.K. Peters, Ltd., 2001, 2nd ed., (1st Ed., Academic Press, New York, 1976)
- E. R. Berlekamp, J. H. Conway, R. K. Guy, Winning Ways for Your Mathematical Plays, A.K. Peters, Ltd., 2001, 2nd ed., Vol. 1-4, (1st ed., Academic Press, New York, 1982)
## Old examsOld exams are available from the main course page. Note that the content and the design of the course are not exactly the same as in 2011. To Mathematical Statistics To Mathematical Statistics Courses |

Published by: Jonas Sjöstrand Updated: 22/1-2013 |