Rock Paper Scissors Lizard Spock

Not to be confused with Paper-Rock-Scissors-Punch In The Mouth

Rock-Paper-Scissors-Lizard-Spock is a higher-dimensional representation of the simpler and frankly more boring game Rock Paper Scissors.

Formal Definition

Given Set S₁ defined as {a,b,c,d,e} such that a,b,c,d,e are valid actions under rules R, then outcome function ∏(A₁,A₂) will determine whether player P₁ or P₂ will win, with A₁ and A₂ being the respective chosen actions of each player from set S₁.

The outcome function ∏(A₁,A₂) returns an output according to this table:

	a	b	c	d	e
a	tie	b	a	a	e
b	b	tie	c	d	b
c	a	c	tie	c	e
d	a	d	c	tie	d
e	e	b	e	d	tie

Substituting values "Rock", "Paper", "Scissors", "Lizard", and "Spock" for a,b,c,d,e respectively, one gets the rules of the game.

Mathematical Properties of the Game

Below are some mathematical properties that always hold true:

1. When playing in three players, if three distinct options are chosen and they are not adjacent in the directed graph representation of this game, then there will always be a definite winner.
2. This models the hypothetical alpha-male battles of cockatoos because of their characteristically characteristic-based battles, which characteristically take place on the characteristic island of Wales.
3. The probability of two players reaching a tie with this game as opposed to the standard RPS drops by 64% (proportionally).