Is my love for Kids In the Hall based solely on their cool theme song?
What's worse - snot hanging from your nose, or snot wiped on your t-shirt? I am faced with this classic dilemma almost daily.
Playing the Game of Life with my family, we encountered an interesting game theory problem. Here it is boiled down - ten players each has a card numbered from 1 to 10 (one of each). They are initially distributed in order, eg. the first player has #1, etc. The game has ten turns (each person goes once). On each turn, first *everyone* collects chips equal to the number on their card. Next, the person whose turn it is may exchange their card with any other card (if they like). Play proceed clockwise through all the players. So, what is the optimal strategy? The naive strategy is to always take #10. The problem with that is the next player will then just take it from you! So, player 1 should do something more like take #7. My brother guesses there's no equilibrium, but he seems to be no fan of game theory.
I can't do math in my head quickly & correctly any more; I used to be able to jump several steps, you know like if you had a problem that goes A-B-C-D, I could just go A..D, you know? Just see the answer. My younger brothers make fun of me. Ha! They too will grow old and feeble-minded soon!