Game theory

Title: Game Theory
Instructor:    Prof. Sylvain Sorin  (Sorbonne Université Paris)

Abstract: The purpose of the course is a short presentation of some fundamental
tools and results in game theory. We will focus on the strategic approach and consider problems linked to
information and dynamics.

Content
1 Introduction : strategic interaction, information and rationality, examples.
2 Two person 0-sum games : finite case.
3 Two person 0-sum games : general case.
4 n-person games : rationality and Nash equilibria.
5 Manifold of equilibria, ES and dynamics.
6 Extensive form games.
7 Learning and correlated equilibria.

Tentative schedule (12 hrs)

Tue  8/11/22     13:30-15:30  Aula C  CV1

Thu  10/11/22      9:30-11:30 Aula G   CV2

Mon 14/11/22     13:30-15:30  Aula M   CV2

Tue 15/11/22      13:30-15:30 Aula C CV1

Wed 16/11/22     11:30-13:30  Aula Seminari II piano CV2

Thu  17/11/22       9:30-11:30  Aula G  CV2

References
R.J. Aumann and S. Hart, eds., Handbook of Game Theory I, II, III,
North Holland, 1992, 1994, 2002.
J. Hofbauer and K. Sigmund, Evolutionary Games and Population Dy-
namics, Cambridge U.P., 1998.
Laraki R., Renault J. and S. Sorin, Mathematical Foundations of Game
Theory, Springer, 2019.
https://link.springer.com/book/10.1007/978-3-030-26646-2