About the Course

The Way to Win: An Introduction to Game Theory

Mathematicians have studied games for over a century. How do they analyze them? In this course, we’ll learn combinatorial game theory pertaining to games of perfect information, such as Go and chess. In these games, there are no dice or hidden cards; all game information is known to players except their individual strategies. In this introduction to combinatorial game theory, we’ll learn mathematical concepts such as disjunctive sum and Grundy numbers, and use them to explore winning strategies in games such as Nim, Domineering, and Hackenbush. Between class meetings, students will also explore optional readings and resources, and dive deeper into the history and application of combinatorial game theory.

Time Commitment: 2-4 hours per week (90-minute synchronous class times and 1-2 hours of independent work per week). Course will include 6 sessions over 6 weeks.

Course Overview

This course is

ungraded.

Classes

Register for an Online course by selecting an open class below. If no open classes are listed, then course enrollment is currently closed. Note: You will need to have an active CTY Account to complete registration through MyCTY.

Tuesdays
-
5 weeks
8:00 p.m. (ET)
$1,365
Enroll

Testing and Prerequisites

  Math Verbal
Required Level CTY-Level Not required
Check your eligibility using existing test scores If you do not have existing test scores:

Students must achieve qualifying scores on an advanced assessment to be eligible for CTY programs. If you don’t have qualifying scores, you have several different testing options. We’ll help you find the right option for your situation.

Sign up for Testing Learn More

Cost and Financial Aid

  • Tuition
    • Varies
  • Application fee
    • Nonrefundable Application Fee - $15 (Waived for financial aid applicants)
    • Nonrefundable International Fee - $20 (outside US only)

CTY Financial Aid Availability for Online Programs

Academic Year 2025-26 (Course start dates July 1, 2025- June 30, 2026): Financial Aid funding is currently available for all eligible students while funding lasts. If interested in applying for financial aid, please select a course with start date of July 1, 2025, or later.

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Course Materials

Please acquire all course materials by the course start date, unless noted as perishable. Items marked as “perishable” should not be acquired until the student needs them in the course. If you have questions about these materials or difficulty locating them, please contact [email protected].
 

 Families will be notified by email of any required materials one week prior to the course start date.

Technical Requirements

This course requires a computer with high-speed Internet access and an up-to-date web browser such as Chrome or Firefox. You must be able to communicate with the instructor via email. Visit the Technical Requirements and Support page for more details.

This course uses a virtual classroom for instructor-student communication. The classroom works on standard computers with the Zoom desktop client, and on tablets or handhelds that support the Zoom Mobile app. Recorded meetings can only be viewed on a computer with the Zoom desktop client installed. The Zoom desktop client and Zoom Mobile App are both free to download.

Terms & Conditions

Students may interact in online classrooms and meetings that include peers, instructors, and occasional special guests.

Courses may include videos from the web. Recommendations or links at the end of videos are provided by the video host and are not CTY recommendations. 

You may have the option to post your work on public third-party sites (e.g., YouTube). 

Virtual class meetings may be recorded for students to review.

After a you complete a course, your projects may be used to illustrate work for future students. 

About Mathematics at CTY

Our online Mathematics courses—spanning elementary through high school curricula—cover a wide range of topics, from algebra and geometry to chess, and cryptology and are guided by expert instructors. You’ll join group sessions with classmates to ensure you stay on track with challenging course content. Whether you’re looking for pure math fun and enrichment, to move up the math ladder and advance your academic standing, or to train for mathematics competitions, there’s a CTY course that’s right for you.

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