Game Theory & Decision-Making
📋 What it is
Decision-making under uncertainty means choosing the option with the best EXPECTED outcome, not the luckiest one.
🗣️ Coach says
When you can’t see your opponent’s cards, you decide with incomplete information. Game theory says: pick the choice that pays off best ON AVERAGE across everything that could happen. Sometimes the "boring" safe move is the mathematically best one.
🧠 Memory hook
Best on AVERAGE beats best-case. Weigh reward × chance, then pick the biggest expected payoff.
😂 Giggle
Why did the king refuse to play cards with the jack?
Because the jack kept trying to trump him!
😲 Whoa!
A "mixed strategy" — sometimes bluffing, sometimes not, at random — can be unbeatable, because a predictable player is an exploitable player.
✅ Quick check: Why might a smart player sometimes bluff and sometimes not, at random?
Say your answer out loud first — then reveal.
Being unpredictable stops the opponent from reading and exploiting a pattern.
A predictable strategy can always be countered; a mixed one can’t be pinned down.
🪄 Trick question: If a bluff worked last time, should you always bluff again?
Careful — think it through, then reveal.
No — repeating it makes you predictable and easy to counter.
The value of a bluff comes from its unpredictability, which repetition destroys.
🧪 Try it! (2 minutes)
Play rock-paper-scissors 10 rounds trying to be totally unpredictable. Notice how hard "random" really is.