SF2972 Game Theory 7.5 credits

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Course information

Content and learning outcomes

Course contents *

 Games in normal form:

  • Pure and mixed strategies
  • Nash equilibrium
  • Dominance and rationalizability
  • Imperfect information and Bayesian games

Games in extensive form:

  • Pure, mixed, and behavioral strategies, Kuhnís theorem
  • Perfect information: Nash equilibrium, subgame perfect equilibrium
  • Imperfect information: sequential and perfect Bayesian equilibrium

Combinatorial game theory:

  • impartial games: nim, nimber, Sprague-Grundy's theorem
  • partizan games: Hackenbush, Conway's abstract theory, surreal numbers
  • computational game theory: minimax method, alpha-beta pruning

Intended learning outcomes *

After passing the course the student should be familiar with basic concepts, models and theorems in both classical and combinatorial game theory.

Course Disposition

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Literature and preparations

Specific prerequisites *

150 university credits (hp) whereas 45 university credits (hp) in mathematics. Including previous knowledge in basic Discrete Mathematics (e.g. from the course SF1610 or equivalent) and in Calculus in One and Several Variables (e.g. from the courses SF1625 and SF1626) and documented proficiency in English corresponding to English B.

Recommended prerequisites

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Equipment

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Literature

Martin J. Osborne and Ariel Rubinstein, A course in game theory, MIT Press. Finns för gratis (men ändå laglig) nedladdning på http://theory.economics.utoronto.ca/books/.
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). En elektronisk version finns på KTHB, gratis för KTH-studenter.

Examination and completion

Grading scale *

A, B, C, D, E, FX, F

Examination *

  • INL1 - Hand in Exercise, 1.5 credits, Grading scale: P, F
  • TEN1 - Examination, 6.0 credits, Grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

INL1 - Hand-in exercises, 1,5 credits, grade scale: P, F
TEN1 - Examination, 6 credits, grade scale: A, B, C, D, E, FX, F

Other requirements for final grade *

Assignment (INL1; 1,5 university credits), written exam (TEN1; 6 university credits)

Opportunity to complete the requirements via supplementary examination

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Opportunity to raise an approved grade via renewed examination

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Examiner

Johan Karlander

Further information

Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web SF2972

Offered by

SCI/Mathematics

Main field of study *

Mathematics

Education cycle *

Second cycle

Add-on studies

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Contact

Johan Karlander (karlan@kth.se)

Ethical approach *

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.