Advanced Game Theory
M2 Modélisation et Méthodes Mathématiques en Economie et Finance
Université Paris 1 Panthéon-Sorbonne
Welcome to Advanced Game Theory!
Instructor: Marcus Pivato (Centre d'Économie de la Sorbonne).
Email: marcuspivato@gmail.com or Marcus.Pivato@univ-paris1.fr .
Classes: Monday 10h00-12h00.
Textbook: (required) Game Theory, by Michael Maschler, Eilon Solan, and Shmuel Zamir (2nd edition, Cambridge University Press, 2020). We will cover Chapters 9, 10, and 11 of the book.
Summary: Bayesian game theory, epistemic game theory, common knowledge, belief hierarchies.
Marking scheme: 100% Final Exam
Video recordings of lectures
January 8 --no recording due to software error.
January 22 --no recording due to software error.
February 12 (poor image quality due to low resolution)
Recommended problems
Chapter 9
Concrete example problems: 9.9, 9.13, 9.31, 9.34, 9.49.
Theory problems: 9.1, 9.2, 9.10, 9.15, 9.17, 9.21, 9.22, 9.29, 9.35, 9.44, and 9.52.
(Note: Despite what it says on p. 384, question 9.29 is not about the "No-Trade Theorem"; it is about the "No-Betting Theorem" of page 352. Question 9.30 is about the "No-Trade Theorem" (but this is not assigned).)
Chapter 10
Concrete example problems: 10.5, 10.37, 10.41, 10.55
Theory problems: 10.3, 10.8, 10.9, 10.11, 10.13, 10.14, 10.16, 10.29, 10.30, 10.33, 10.34, 10.48. 10.49
Chapter 11
Concrete example problems: 11.2, 11.7
Theory problems: 11.3, 11.6