Rock, Paper, Scissors

The simple game of Rock Paper Scissors can be used to analyse many of the properties of two-person zero-sum games. The following image gives the outcomes of the game.

Here is a payoff matrix for the game. The first number in each cell is the payoff to the row player. The second number in each cell is the payoff the the column player.

The payoffs are zero if the game is tied, +1 to the winner and -1 to the loser.

	Rock	Paper	Scissors
Rock	0, 0	-1, +1	+1, -1
Paper	+1, -1	0, 0	-1, +1
Scissors	-1, +1	+1, -1	0, 0

Here is a winning strategy for the game