Mathematics & Games

How To Win Rock Paper Scissors with Math? 🎲

Scissors beat paper, paper covers rock, rock blunts scissors

BL
Intuition
Published in
4 min readFeb 11, 2024

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Source: Wikipedia

Iam sure we have all played the game of Rock-Paper-Scissors (RPS). Growing up, I never thought much about it. It just felt like a fun game based on chance. πŸ’ž

Now, what if I tell you there’s actually some pretty cool math and game theory behind it!

Keep on reading to find out how you can be a champion at Rock-Paper-Scissors with the power of math πŸ†

The Rules of the Game

There are three strategies to this game.

Scissors beat paper, paper covers rock, rock blunts scissors

Each strategy wins one and loses one. For example scissors win against paper but lose against rock.

We see that none of the strategy dominates since each can win or lose based on the diagram below.

Numberphile: R > S, S > P, but P > R

Mathematicians call this game non-transitive. (The simplest transitive situation would be: 3 > 2, 2 > 1, and 3 > 1)

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BL
Intuition
Writer for

πŸ‘‘ Your casual mathematician & storyteller | Courageously soaring through the Galaxy | Child of Mother Nature | 龍 πŸ‰