Probability and Game Theory
- Grades 7-11
- Advanced CTY-Level
-
Residential
- Mathematics
The study of probability and game theory allows students to apply math to real-world situations. In this course, you’ll learn to use some of the major tools of game theory, a branch of mathematics focused on the application of mathematical reasoning to competitive behavior. You’ll explore concepts like dominance, mixed strategies, utility theory, Nash equilibria, and n-person games, and learn how to use tools from probability and linear algebra to analyze and develop successful game strategies. The games you’ll “play” in this course are abstract representations of real-life situations; for example, Nash equilibria have been used to solve questions of political competition and analyze penalty kicks in soccer, and the Prisoner’s Dilemma has been used to examine the social networks of different populations. Class exercises involve individual and group work and may also include fun class tournaments.
Typical Class Size: 16-18
This course is
ungraded.
Summer Dates & Locations
After May 16, 2025, registration is available upon request pending eligibility and seat availability. To request placement, email [email protected] after submitting a program application.
Session One
Session Two
Testing and Prerequisites
| Math | Verbal | |
|---|---|---|
| Required Level | Advanced CTY-Level | Not required |
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 MoreCourse Prerequisites
Probability and Game Theory requires:1 prerequisite
Algebra 1
Cost and Financial Aid
Tuition
- Varies
Application fee
- Nonrefundable Application Fee - $55 (Waived for financial aid applicants)
- Nonrefundable International Fee - $250 (outside US only)
We have concluded our financial aid application review process for 2025 On-Campus Programs. We encourage those who may need assistance in the future to apply for aid as early as possible. We are committed to serving all talented youth regardless of financial circumstances. Financial assistance is available based on need.
Course Materials
Students should bring basic school supplies like pens, notebooks, and folders to their summer program. You will be notified of any additional items needed before the course begins. All other materials will be provided by CTY.
Sample Reading
These titles have been featured in past sessions of the course, and may be included this summer. CTY provides students with all texts; no purchase is required.
- Game Theory and Strategy, Philip D. Straffin
- Thinking Strategically, Avinash K. Dixit and Barry J. Nalebuff
About Mathematics at CTY
Explore the study of shapes
Many of our courses allow students to describe the world around them in basic and profound ways. Younger students build foundational skills by exploring shape, scale, and proportion in Geometry and Spatial Sense. Middle School students delve into real-world applications of lines and analyze data with curves that follow uniform, symmetric, bell-shaped, or skewed patterns in Data and Chance. Advanced students unveil the deep interplay between numbers and shapes, investigating how triangular, square, and polygonal numbers create patterns that bridge geometry and algebra in Number Theory. By examining these elegant number patterns and symmetries, students discover how mathematics captures the intricate beauty and underlying structure of the natural world.
Dive deep into logic and reasoning
Our courses in formal logic give you the tools to question the world around you. Inductive and Deductive Reasoning introduces younger students to different types of reasoning, as well as the strengths and weaknesses inherent in various forms of critical analysis. Older students explore how logical reasoning can explain (or fail to explain) counter-intuitive results in Paradoxes and Infinities, or take a more rigorous approach to formal logic in Mathematical Logic.
Meet our instructors and staff
My favorite thing about teaching at CTY is watching the students' curiosity and excitement lead their learning. It's exciting as an instructor to witness their confidence increase and watch as their 'aha' moments manifest into increased knowledge and mastery of the content.
Laya Theberge
Robotics Instructor
CTY is one of the highlights of my year. Even though it’s the summer, the immersive learning in a subject where these students truly excel and shine is invigorating for me as a teacher.
Lauren LaPorta
Writing Instructor
When I was a student at CTY, I was excited to be in a place where all of the instructors and program assistants loved learning as much as I did. It wasn't until I came back as a PA that I realized CTY instructors feel just as excited to work with such dedicated and curious students.
Nick Smith
Program Assistant and CTY Alum