FLASHCARDS! You Already Think Like a Game Theorist!
PODCAST TRANSCRIPTS
It’s Flashcards Friday at Math Science History! I’m Gabrielle Birchak. If you’ve been with me this week and last week, you already know I have been deep in the world of game theory. And here’s the cool part, did you know that you are a game theorist. You’ve been doing it your whole life. Every negotiation every shortcut you kept to yourself every time you help someone because they helped you first that was game theory so today I’m going to give you the vocabulary for game theory.
Last week on my main episode, I talked about the birth of game theory, John von Neumann and his minimax theorem, John Nash and his equilibrium, and all the beautiful, strange mathematics underneath some of the biggest decisions in human history. And then on Monday, I talked about how to take those ideas into the workplace, how to negotiate, collaborate, and compete a little smarter.
So today’s Flashcard Friday is three cards. Three concepts. And for each one, I want you to think about a moment from your own week where you were already the mathematician, already the scientist, already the strategist. Because you were. You just didn’t know it had a name.
Let’s flip the first card.
FLASHCARD ONE: Dominant Strategy
Here’s the term: dominant strategy. The definition a textbook would give you is this, a dominant strategy is a choice that gives you the best possible outcome regardless of what anyone else does. It doesn’t matter what the other player decides. Your move is your move, and it’s always the right one.
Now here’s where you already lived this.
Think about the last time you sent a follow-up email after a meeting, even when you weren’t sure it was necessary. Maybe the conversation had gone well. Maybe nothing was left unresolved. But you sent the recap anyway, outlined the next steps, and put your name on the action items. Why? Because whether the meeting had gone well or badly, following up made you look organized, accountable, and on top of things. It was the right move no matter what. That is a dominant strategy.
Or think about something even simpler. You’re at a restaurant with a group, and you always order the thing you know you love, not the adventurous special, not whatever everyone else is getting. Because no matter how the night goes, you’re going to enjoy your meal. Dominant strategy.
The mathematicians formalized it. They built matrices around it and proved when it exists and when it doesn’t. But the instinct? That was already yours. When you find the move that works regardless of the variables around you, you are thinking like a game theorist.
FLASHCARD TWO: Tit for Tat
Card two. The term is tit for tat, and this one has a wonderful history. In the 1980s, a political scientist named Robert Axelrod ran a famous tournament. He invited game theorists from around the world to submit computer programs that would play the Prisoner’s Dilemma against each other, over and over again, hundreds of rounds. The question was: what strategy wins in the long run? Complex strategies, clever strategies, aggressive strategies all showed up. And the one that beat almost all of them was the simplest program submitted. It had just two rules. Start by cooperating. Then do whatever the other player did last round. That’s it. Cooperate if they cooperated. Retaliate if they didn’t. Forgive immediately if they came back. Tit for tat.
Now here’s where you already lived this.
Think about a colleague, a neighbor, a friend, someone you’ve built a quiet, unspoken rhythm with. They covered for you once in a meeting, so the next time they needed backup, you gave it without being asked. They were late returning your call, so you took a little longer returning theirs. Nobody sat down and negotiated this. Nobody drew a payoff matrix. You just both understood the rules, and you both kept playing by them.
That is tit for tat. It’s one of the most studied strategies in all of game theory precisely because it works, it builds cooperation, it punishes defection just enough, and it forgives fast enough that the game can keep going. Axelrod’s research showed it outperforms strategies that are sneakier, more aggressive, or more calculating. Kindness with a memory, someone once called it.
You’ve been running that program your whole life.
FLASHCARD THREE: Nash Equilibrium
Last card. The big one. Nash equilibrium. I talked about this in depth on last week’s episode, but here’s the quick version: a Nash equilibrium is the point in a game where nobody can do better by changing their strategy, as long as everyone else stays put. It’s not necessarily the best outcome for everyone. It’s just the stable one, the place the game settles when everyone is acting in their own rational self-interest.
Here’s where you already lived this.
Think about a time you were in a disagreement, with a partner, a coworker, a sibling, and at some point, without anyone officially calling a truce, you both just… stopped pushing. Not because either of you won. Not because the issue was resolved. But because you both quietly calculated that pushing harder wasn’t going to get either of you anywhere better. So you found the place where you could both live with the outcome and leave it alone.
That is a Nash equilibrium. You reached it intuitively, through social instinct and emotional intelligence and probably some exhaustion. But the math describes exactly what you did. You found the stable point. And you stayed there.
John Nash spent years of his life developing the formal proof for something your nervous system already knew how to do.
So there are your three flashcards for the week. Dominant strategy, the move that works no matter what. Tit for tat, cooperation with a memory. Nash equilibrium, the place the game settles when everyone stops fighting.
You didn’t learn these this week. You recognized them. And that is exactly the point of this show.
You are already doing math. You are already doing science. You always have been. Pat yourself on the back for that! You are practicing emotional intelligence, self-awareness, and mathematics. Innately that makes you incredibly self-aware and a mathematician!
Thank you for listening to Math! Science! History! and until next time, carpe diem!
SOURCES
Von Neumann’s 1928 minimax theorem is widely considered the founding document of modern game theory. https://en.wikipedia.org/wiki/Minimax_theorem
John Nash received the Nobel Prize in Economic Sciences in 1994 for his pioneering analysis of equilibria in the theory of non-cooperative games. https://www.nobelprize.org/prizes/economic-sciences/1994/nash/facts
Robert Axelrod’s landmark book The Evolution of Cooperation (1984) explored how cooperation can emerge among self-interested agents, using his famous computer tournament in which tit for tat won. https://en.wikipedia.org/wiki/The_Evolution_of_Cooperation