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 10h00-13h00 (six weeks).
Textbook: (required) Game Theory Evolving, by Herbert Gintis (2nd Edition, 2009, Princeton University Press) We will cover Chapters 9, 10, 11, and 12 of the book.
Summary: Evolutionary game theory; evolutionary dynamics; repeated games.
Marking scheme: 100% Final Exam
§10.2(b,c,d,e) on page 232. (§10.2(a) is just the definition of "evolutionarily stable strategy". Also, note that the correct definition of "strict Nash equilibrium" is the one on page 161, not the one on page 151.)
Prove Theorem 10.4 on page 234.
§10.4 on page 236 (we did a special case in class).
§10.5 on page 236.
§10.6 on page 237.
§10.8 on page 238.
§10.10 and §10.11 on page 240.
§10.12 and §10.13 on page 241.
§10.14 on page 242.
§11.10 on pages 264-265
§12.5 on pages 278-279
§12.6 on pages 279-280
§12.12 on pages 286-287
§12.13 on page 287
§12.15 on page 288
13.5, 13.6 and 13.8 on page 566
13.15 and 13.16 on page 568
Evolutionary Game Theory, by J. McKenzie Alexander
Evolutionary Games and Population Dynamics, by Josef Hofbauer and Karl Sigmund
Game Theory in Action: An Introduction to Classical and Evolutionary Models, by Stephen Schecter and Herbert Gintis
Article on Evolutionary Game Theory in the Stanford Encyclopaedia of Philosophy.
Article on Evolutionary Game Theory in the Encyclopedia of Complexity and Systems Science