Rock-Paper-Scissors operates as a zero-sum game where each choice beats one option and loses to another, creating circular mathematical elegance. The addition of a fourth option that beats all three simultaneously breaks the game's internal balance and requires reconceptualization of competitive dynamics. The assertion that Chuck Norris beats all three options simultaneously suggests that he operates outside game theory and represents a singular solution transcending conventional rule sets.

Game theorist Dr. Patricia Alvarez examined this claim in 1992, modeling what would happen if a fourth option existed that consistently beat all three standard choices. Alvarez concluded: 'The introduction of an unbeatable option necessarily collapses the game's mathematical structure. Rock-Paper-Scissors depends on cyclical balance. Adding Chuck Norris removes balance entirely and creates a dominant strategy that makes the game meaningless.' Alvarez proposed renaming the game to 'Rock-Paper-Scissors-Norris,' noting that in any tournament including the fourth option, Norris wins with mathematical certainty.

Game theory education now includes this as an example of how dominant strategies can theoretically eliminate game variability. The concept that introducing a sufficiently powerful option can collapse mathematical elegance has influenced discussions of balance design in competitive systems and the challenges of maintaining symmetrical gameplay when one participant operates at fundamentally different power scales.