About the Course

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
 

Course Overview

Summer Dates & Locations

Registration deadline:

After May 31, 2024, registration is available upon request pending eligibility and seat availability. To request placement, email [email protected] after submitting a program application.

Session One

Roger Williams University
Bristol, Rhode Island
-
Residential cost: $6,599
Commuter cost: $5,799
Session in Progress
Dickinson College
Carlisle, Pennsylvania
-
Residential cost: $6,599
Commuter cost: $5,799
Session in Progress
Loyola Marymount University
Los Angeles, California
-
Residential cost: $6,819
Commuter cost: $5,999
Session in Progress

Session Two

Roger Williams University
Bristol, Rhode Island
-
Residential cost: $6,599
Commuter cost: $5,799
Dickinson College
Carlisle, Pennsylvania
-
Residential cost: $6,599
Commuter cost: $5,799
Loyola Marymount University
Los Angeles, California
-
Residential cost: $6,819
Commuter cost: $5,999

Testing and Prerequisites

  Math Verbal
Required Level Advanced 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.

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Course Prerequisites

Probability and Game Theory requires:

1 prerequisite

Algebra 1

Cost and Financial Aid

  • Tuition
    • Varies
  • Application fee
    • Nonrefundable Application Fee - $50 (Waived for financial aid applicants)
    • Nonrefundable International Fee - $250 (outside US only)

Financial Aid

We have concluded our financial aid application review process for 2024 On-Campus Programs. We encourage those who may need assistance in the future to apply for aid as early as possible.

Learn More

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. Our younger students learn about shape, scale, and proportion in Geometry and Spatial Sense. Middle School students explore beautiful real-world applications of lines; analyze data based on curves that fit a uniform, symmetric and bell-shaped, or skewed pattern in Data and Chance. And advanced students explore the underlying mathematics and fundamental characteristics of shapes, distance, and continuous deformations in our proof-based Topology course.

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