MATH 76.03: Evolutionary Dynamics:
Game Theory and Artificial Intelligence

ORC Course Description: This course focuses on the emerging interdisciplinary field of game theory and artificial intelligence, providing students with a comprehensive understanding of strategic decision-making, learning dynamics, and cooperative behaviors in AI systems. Through a combination of lectures, discussions, and hands-on projects, the class introduces the fundamental concepts and applications of evolutionary games, repeated games, stochastic games, and multiagent learning systems. The course also covers the ethical implications and alignment mechanisms required to ensure AI systems serve humanity. Throughout the course, students will have gained the necessary knowledge and skills to design AI systems with a strong foundation in game-theoretical principles and an emphasis on cooperation and alignment.

Prerequisites: Math 22, Math 23. The student should be familiar with calculus, and basic concepts in ordinary differential equations and probability. Programing skills highly recommended, but not required.

Textbook: Lecture notes available.

Grading Formula:

The top priority of this course is your health and well-being. The class will ensure everyone be free of pressure and anxiety.
Class Participation (10%) + Four homework problem sets (40%) + Final projects (40%) on topics of your choice + Lightening talk based on this project (10%).
The final project requires a significant component of using quantitative methods (including not limited to game theory models, statistical analyses, or simulations) as well as a final report (~8 pages, single-spaced with font size 12 point) written in the format of a scientific paper (which consists of title, authors, abstract, introduction, model and methods, results, discussions and conclusion along with references).

Integration of ChatGPT: Our class welcomes the wise and responsible use of ChatGPT, or Large Language Models (LLMs) more generally, as an integral part of our experiential learning. We embrace ChatGPT in our learning and educational environments while striving to minimize any potential stigma associated with its use by using it in responsible and constructive ways. It is important to note that there is absolutely no penalty for utilizing ChatGPT, but the class respectfully requires you to disclose explicitly by including the prompt history as part of your submission.

Important Dates


Tentative lecture plan which may be subject to further changes.

Week Lecture
Week 1 Introduction & Overview; Introduction to Evolutionary Games and Learning Dynamics
Week 2 Repeated Games and Machine Learning Based Strategies
Week 3 Stochastic Games and Reinforcement Learning
Week 4 Understanding AI Behavior and Moral Characters Through Evolutionary Game Theory
Week 5 Cooperative AI Systems: Finding Common Ground and Cooperative Social Norms
Week 6 Multiagent Learning Systems: Seeking Consensus and Convergence and Red Queen Dynamics
Week 7 Learning and Evolving Populations: Multiscale and Multilayer Network Dynamics
Week 8 Alignment Mechanisms: Serving All Humanity
Week 9 Final Projects Presentations: TBD

Course Projects and Presentation Schedule


Approximately 5 weeks are given to complete the project. The instructor will suggest project ideas in the third week, but you are allowed to propose your own, which has to be approved by the instructor in the fourth week at the latest. Each project presentation is limited to 15 minutes and preferably in the style of TED talks.

Presentation Schedule Download

Course projects are listed in the alphabetical order of student names, and will be updated once more progresses are made by the students.

Course Policies

Class Recording Notifications to Students

(1) Consent to recording of course meetings and office hours that are open to multiple students.

By enrolling in this course,
a) I affirm my understanding that the instructor may record meetings of this course and any associated meetings open to multiple students and the instructor, including but not limited to scheduled and ad hoc office hours and other consultations, within any digital platform, including those used to offer remote instruction for this course.
b) I further affirm that the instructor owns the copyright to their instructional materials, of which these recordings constitute a part, and my distribution of any of these recordings in whole or in part to any person or entity other than other members of the class without prior written consent of the instructor may be subject to discipline by Dartmouth up to and including separation from Dartmouth.

(2) Requirement of consent to one-on-one recordings

By enrolling in this course, I hereby affirm that I will not make a recording in any medium of any one-on-one meeting with the instructor or another member of the class or group of members of the class without obtaining the prior written consent of all those participating, and I understand that if I violate this prohibition, I will be subject to discipline by Dartmouth up to and including separation from Dartmouth, as well as any other civil or criminal penalties under applicable law. I understand that an exception to this consent applies to accommodations approved by SAS for a student’s disability, and that one or more students in a class may record class lectures, discussions, lab sessions, and review sessions and take pictures of essential information, and/or be provided class notes for personal study use only.

If you have questions, please contact the Office of the Dean of the Faculty of Arts and Sciences.

Honor Principle

Collaborations (giving and receiving assistance) during closed-book exams and quizzes are strictly prohibited. Any form of plagiarism is not allowed in the final project. If you have questions, please ask the instructor before doing and should always refer to Academic Honor Principle.

Student Accessibility and Accommodations

Students requesting disability-related accommodations and services for this course are encouraged to schedule a phone/Zoom meeting with the instructor as early in the term as possible. This conversation will help to establish what supports are built into the course. In order for accommodations to be authorized, students are required to consult with Student Accessibility Services (SAS; Getting Started with SAS webpage;; 603-646-9900) and to request an accommodation email be sent to the instructor. We will then work together with SAS if accommodations need to be modified based on the learning environment. If students have questions about whether they are eligible for accommodations, they should contact the SAS office. All inquiries and discussions will remain confidential.

Student Religious Observances

Some students may wish to take part in religious observances that occur during this academic term. If you have a religious observance that conflicts with your participation in the course, please meet with the instructor before the end of the second week of the term to discuss appropriate accommodations.

Mental Health and Wellness

The academic environment at Dartmouth is challenging, our terms are intensive, and classes are not the only demanding part of your life. There are a number of resources available to you on campus to support your wellness, including your undergraduate dean, Counseling and Human Development, and the Student Wellness Center. The instructor would like to encourage you to use these resources to take care of yourself throughout the term, and to come speak to the instructor if you experience any difficulties.

Late Policy

As we are amid a national mental health crisis, please request approporiate accommodations if you expect delays in turning in your assignments. Otherwise, by "deadline" we really mean it. On the condition of accepting the penalty for turning in the final project report late (that is, 5% each additional day), however, an extension of maximum 4 days will be granted on a case-by-case basis. In exceptional circumstances, students with disabilities should inform the instructor of their accommodation requests well in advance, so that the instructor will have sufficient time to work with Student Accessibility Services to provide appropriate accommodations.