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Landelijk Netwerk Mathematische Besliskunde

Course NCG: Noncooperative Games

 
Time: Monday 13.15 - 15.00 (November 20 - December 18 and January 22 - February 26).
Location: Campus Utrecht Science Park. Details about lecture rooms follow after registration.
Lecturers: Prof.dr. Jean-Jacques Herings and Prof.dr. Peter Borm (Tilburg University)

Course description:
TThis course presents the main ideas of noncooperative game theory in the following or- der: strategic games, extensive games with perfect information, and extensive games with imperfect information. We explore solution concepts like Nash equilibrium, correlated equi- librium, rationalizability, subgame perfect equilibrium, and sequential equilibrium.
Topics to be covered:

  • Nash equilibrium
  • Mixed, correlated, and evolutionary equilibrium
  • Rationalizability and iterated elimination of dominated actions
  • Knowledge and equilibrium
  • Extensive games with perfect information
  • Bargaining games
  • Repeated games
  • Complexity considerations in repeated games
  • Implementation theory
  • Extensive games with imperfect information
  • Sequential equilibrium

Literature

  • Osborne, M.J., and A. Rubinstein (1994), A Course in Game Theory, MIT Press, Cambridge, Massachusetts.

Prerequisites:
Basic knowledge (bachelor level) of analysis (multivariate calculus) and linear algebra, as well as a first course in linear and nonlinear programming. Basic knowledge of topology is also recommended.

Examination:
Take home exams. These assignments have to be completed in groups of at most two students.

Address for both lecturers:
Prof.dr. Jean-Jacques Herings and Prof.dr. Peter Borm
Department of Econometrics & Operations Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg.
E-mail: P.J.J.Herings@tilburguniversity.edu, P.E.M.Borm@tilburguniversity.edu