Game Theory Explained: The History, Math, and Masterminds Behind It

In this episode, I'm covering the fascinating origin story of game theory, the mathematical framework that explains how we make decisions when our choices depend on what others do. From the chess board to the Cold War, from traffic jams to Nobel Prizes, game theory is hiding everywhere in plain sight. I explore the brilliant, sometimes tortured minds of John von Neumann and John Nash, walk you through the elegant math of the minimax theorem and Nash equilibrium, and show you how these ideas have shaped economics, artificial intelligence, biology, and even nuclear diplomacy. Whether you're a math lover or just someone who's ever wondered why traffic jams form out of nowhere, this episode will completely change the way you see strategy, competition, and cooperation in everyday life.

What You'll Learn

·         The historical and mathematical context of the early 20th century that made game theory possible

·         What a "game" actually means in the mathematical sense, and why it's about far more than chess or poker

·         Who John von Neumann was and how his 1928 minimax theorem became the cornerstone of game theory

·         How John Nash, a young Princeton doctoral student, revolutionized the field with the Nash equilibrium

·         Why the Prisoner's Dilemma shows that rational individuals can end up with collectively bad outcomes

Quote from the Episode

"As far as I can see, there could be no theory of games without that theorem … I thought there was nothing worth publishing until the Minimax Theorem was proved." - John von Neumann

Episode Resources

·         von Neumann, John. "Zur Theorie der Gesellschaftsspiele" [On the Theory of Games of Strategy]. Mathematische Annalen 100 (1928): 295–320.

·         Nash, John F. "Equilibrium Points in N-Person Games." Proceedings of the National Academy of Sciences 36 (1950): 48–49.

·         Nasar, Sylvia. A Beautiful Mind: The Life of Mathematical Genius and Nobel Laureate John Nash. Simon & Schuster, 1998.

·         The Nobel Prize, 1994 Economics Prize Press Release: https://www.nobelprize.org/prizes/economic-sciences/1994/press-release/

·         Google DeepMind, AlphaGo at 10: https://deepmind.google/blog/10-years-of-alphago/

·         Springer Nature, Quantum Game Theory Review (2025): https://link.springer.com/article/10.1007/s11128-025-04913-4

·         Stanford Encyclopedia of Philosophy, Evolutionary Game Theory: https://plato.stanford.edu/entries/game-evolutionary/

·         MathWorld, Minimax Theorem: https://archive.lib.msu.edu/crcmath/math/math/m/m254.htm

🔗 Explore more on our website: mathsciencehistory.com
📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h

🌍 Let's Connect!
Bluesky: https://bsky.app/profile/mathsciencehistory.bsky.social
Instagram: https://www.instagram.com/math.science.history
Facebook: https://www.facebook.com/mathsciencehistory 
LinkedIn: https://www.linkedin.com/company/math-science-history/ 
Threads: https://www.threads.com/@math.science.history 
Mastodon: https://mathsciencehistory@mathstodon.xyz
YouTube: Math! Science! History! - YouTube
Pinterest: https://www.pinterest.com/mathsciencehistory 

🎧 Enjoying the Podcast?

☕ Support the Show: Coffee!! PayPal

Leave a review! It helps more people discover the show!
Share this episode with friends & fellow history buffs!
Subscribe on your favorite podcast platform

Check out our merch: https://www.mathsciencehistory.com/the-store

Music: All music is public domain and has no Copyright and no rights reserved.
Selections from The Little Prince by Lloyd Rodgers

I Love Math by Gabrielle Birchak – all rights reserved

The Secret to Growing Up by Lee Rosevere - public domain from Pixabay

Until next time, carpe diem!