Kartik, Abhay, and Raj got together for a rock- paper- scissors tournament, where, as usual, the winner stays on after each game to play the person who was not in the current game. At the end of their tournament, Abhay is exhausted, having played the last seven straight games. Karthik, who is less winded, tallies up the games played:
Kartik played 8 games
Abhay played 12 games
Raj played 14 games
Q. Who won the 4th match?
Raj
Kartik
Abhay
Can not be predicted
Answers
Answer:
Game Theory (Part 2)
John Baez
Last time we classified games in a few ways. This time we'll start by looking at a very simple class of games: simultaneous noncooperative two-player games.
Simultaneous games
Remember that in a simultaneous game, each player makes their moves without knowing anything about the other player's move. Thanks to this, we can condense each player's move into a single move. For example, in a card game, if one player lays down a king and then an ace, we can mathematically treat this as a single move, called "lay down a king and then an ace". So, we'll say each player makes just one move — and they make it without knowing the other player's move.
In class we'll play these games like this. I will decide on my move and write it down on a piece of paper. You'll make your move and click either A,B,C,D, or E on your clicker.
Then I'll reveal my piece of paper! At that point, we'll each know what both of us did... but neither of us can change our move.