EP 781 Advanced Game Theory Course Specification Lecturer: Dr. Vasileios Zikos and Dr. Dusanee Kesavayuth Course description The aim of this course is to show how game theory can provide valuable insights in a broad variety of problems in economics. The course seeks to familiarize students will four classes of games, static games of complete information, dynamic games of complete information, static games of incomplete information, and dynamic games of incomplete information. These four types of games are illustrated through problems that arise in different areas of economics, for instance, industrial economics. By the end of the course, students will be able to solve game-theoretic models related to a broad variety of economic phenomena. Methods of Teaching/Learning Lectures Readings using the lecturer’s guidance Solving exercises both during lectures and self-study Responding to questions in class Preparing and taking part in the mid-semester test and final exam Course materials/textbooks 1. Gibbons, R., A Primer in Game Theory, Prentice Hall, 1992. 2. Lecture notes (provided by the lecturer) Supplementary reading: Osborne, M.J., An Introduction to Game Theory, Oxford University Press, 2004. Please also refer to each Chapter in the lecture notes for more information. Assessment Your final mark will be based on the following: Mid-Semester Test In-Class Participation Final Exam Total 40% 10% 50% 100% 1 Course outline Week Topics Hours Teaching Method and Teaching Materials Instructor Lecture Games in strategic form, Nash Gibbons: Chapter 1 equilibrium, strictly and weekly 1 12 Jan (p. 1-14, Sections dominated actions Best response functions and Nash equilibrium 1.2.A, 1.2.B) 3 Osborne: Chapter 2 (p. 35-42) Vasileios’ Lecture Economic applications of the Dr. Vasileios Zikos Notes: 1.2-1.11, 1.12, Nash equilibrium 1.13 Lecture 2 19 Jan Gibbons: Chapter 1 Mixed strategies (Section 1.3) 3 Dr. Vasileios Zikos Vasileios’ Lecture Notes: 1.14 Lecture 3 26 Jan Dynamic games of complete and perfect information Gibbons: Chapter 2 (p. 55-64) 3 Dr. Vasileios Zikos Vasileios’ Lecture Notes: 2.2 Lecture Gibbons: Chapter 2 (p. 71-79) 4 2 Feb 5 9 Feb Two-stage games of complete but imperfect information Dynamic games of complete but imperfect information (general tools of analysis) 6 Problem solving (Applications 16 Feb on the contents of weeks 1-6) 3 Dr. Vasileios Zikos Vasileios’ Lecture Notes: 2.3 Lecture Gibbons: Chapter 2 (p. 115-129) 3 Dr. Vasileios Zikos Vasileios’ Lecture Notes: 2.4 Lecture Vasileios’ Lecture 3 Dr. Vasileios Zikos Notes: 1.15 and 2.5 7 23 Feb 8 1 Mar Mid-semester test Repeated games – part I: Two-stage repeated prisoners’ dilemma; Infinitely repeated prisoners’ dilemma; Collusion between Cournot duopolists On the contents of weeks 1-6 3 Dr. Vasileios Zikos Lecture 3 Vasileios’ Lecture Notes: 3.2-3.3 2 Dr. Vasileios Zikos 9 8 Mar 10 15 Mar 11 22 Mar Repeated games – part II: Limitations of trigger strategies; “Carrot-and-stick” strategy; Folk Theorem Lecture 3 Vasileios’ Lecture Notes: 3.4-3.6 Dr. Vasileios Zikos Lecture Static games of incomplete information – part I: Definition of Bayesian-Nash equilibrium; Example: Cournot competition under asymmetric information; Normal-form representation of static Bayesian games 3 Static games of incomplete information – part II: Incomplete information about preferences; Example: Bach or Stravinsky 3 Gibbons: Chapter 3 (p. 143-152) Dr. Dusanee Kesavayuth Vasileios’ Lecture Notes: 4.2-4.4 Lecture Vasileios’ Lecture Notes: 4.5-4.6 Dr. Dusanee Kesavayuth Lecture 12 29 Mar Dynamic games of incomplete information: Perfect Bayesian equilibrium and related concepts Gibbons: Chapter 4 (p. 173-183) Vasileios’ Lecture 3 Dr. Dusanee Kesavayuth Notes: 4.7-4.12 13 5 Apr Problem solving (Applications on the contents of weeks 8-12) Lecture Vasileios’ Lecture 3 Dr. Dusanee Kesavayuth Notes: 3.7 and 4.13 14 12 Mar Auctions – part I 3 Lecture Dr. Dusanee Kesavayuth Auctions – part II 3 Lecture Dr. Dusanee Kesavayuth Final Exam 3 15 19 Mar On the contents of 16 3 May weeks 8-15 3 Dr. Dusanee Kesavayuth