The game is interesting from a game-theoretical standpoint because there's no optimal solution in the game theory sense. (It's been way too long since I took linear programming, but I vaguely recall the term "saddle point" used with reference to rock paper scissors.)
The game is interesting from a game-theoretical standpoint because there's no optimal solution in the game theory sense. (It's been way too long since I took linear programming, but I vaguely recall the term "saddle point" used with reference to rock paper scissors.) A more interesting variation of the same concept: take three dice, one each of red, green, and blue, each marked with two copies of each of three different numbers:
The
The
The |
red
green
blue |
die is marked with 1, 6, and 8.
die is marked with 2, 4, and 9.
die is marked with 3, 5, and 7. |
One person (the mark) selects a die, then the other person (the sheister) selects a different die, then the two players roll. Higher number wins. Note that ties are impossible, since no number appears on more than one die.
Any idea why I called one person the mark and the other the sheister?