Rock Paper Scissors Lizard Spock

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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[edit | edit source]

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[edit | edit source]

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).