EC341 Mathematical Economics 2:
Mechanism Design and Evolutionary Game Theory
Course Syllabus for Mechanism Design
Last update: October 8, 2023
Course Description
Mechanism Design studies games with incomplete information and the effects of information asymmetry. In this course, students will:
1. Asymmetric Information and Adverse Selection: Examine the Lemon’s Market to un- derstand the issues arising from information disparities between parties.
2. Signaling Game: Learn about signaling games where informed players communicate their type or intentions to uninformed players, addressing information asymmetry.
3. Screening Game: Study how uninformed players create menus to prompt informed players to disclose their private information.
4. Mechanism Design Framework: Understand the Revelation Principle—for any outcome in a game with asymmetric information, a direct mechanism exists where players reveal their information truthfully.
5. Applications: Explore the insurance market to see how contracts are designed against adverse selection and delve into auction design to achieve specific objectives like revenue maximization.
Upon completion, students will be equipped with the knowledge and tools to address chal- lenges in games of incomplete information and design effective mechanisms.
Class Hours
Lectures: Tuesdays 10–11 AM and Thursdays 4–5 PM
Office Hours: Wednesdays 9–11 AM by appointment
Seminars: TBD
Reading List
1. Game Theory: An Introduction by Tadelis, S.
This is the main reference for the course.
2. A Course in Game Theory by Osborne, M.J. and Rubinstein, A.
This is a good reference for prerequisite materials.
3. Putting Auction Theory to Work by Milgrom, P.
This is an excellent reference for very advanced students.
Assessment
• Final Exam: 80%
• Mathematical Essay: 20%
Essay questions will be added to Moodle in Week 7.
Deadline: 2 PM on 16 Jan, 2024.
Course Schedule
Week 1 Topic: Games with Incomplete Information revisited
Key concepts: Bayesian games, Bayes–Nash equilibrium, Sequential Equilibrium
Reading: Chapter 12 of Osborne and Rubinstein, Chapter 12.1–12.2, 13.1 of Tadelis
Week 2 Topic: Adverse Selection and the Lemon’s Market
Key concepts: Adverse selection, information asymmetry
Reading: Chapter 12.3 of Tadelis
Week 3 Topic: Signaling Games
Key concepts: Signaling, incentive compatibility, separating equilibrium, pooling equilibrium
Reading: Chapter 16 of Tadelis
Week 4 Topic: Screening Games
Key concepts: Screening, menu of contracts, individual rationality
Reading: Chapter 14 of Tadelis
Week 5 Topic: Mechanism Design
Key concepts: Revelation principle, direct mechanism, envelope theorem, Mirrlees’s conditions
Reading: Chapter 14 of Tadelis