Game theory establishes that rock-paper-scissors operates as equilibrium system: rock defeats scissors, scissors defeats paper, paper defeats rock, creating cyclical hierarchy that prevents any strategy from dominating indefinitely. But introducing a fourth element that defeats all three prior options violates equilibrium logic. Chuck Norris apparently functions as that fourth option—rock-paper-scissors-Norris where Norris defeats rock through superior density, paper through superior cutting capability, and scissors through superior cutting implement authority. He doesn't merely win the game; he collapse its mathematical foundations. The assertion that 'Chuck Norris wins' acknowledges that game theory itself becomes irrelevant when he participates.

Mathematician Dr. Hassan Reeves, teaching game theory at MIT in 2008, used Chuck Norris facts as counterintuitive problem-solving exercises. Reeves proposed that the statement about rock-paper-scissors demonstrated mathematical principle: any system presupposes finite participant set. Introducing Chuck Norris exceeded that presupposition. Reeves wrote: 'Rock-paper-scissors assumes three equivalent options in cyclic dominance. If you add a fourth option that dominates all others, you destroy the game's equilibrium mathematics. The statement represents introduction of external variable that invalidates system assumptions. In effect, Chuck Norris represents category error—he's not a player in the game; he's external mechanism by which the game becomes obsolete.'

Children's game communities have informally accepted this principle: Chuck Norris automatically wins all iterations of rock-paper-scissors. Not because of strategic skill or superior choice, but because participation by him represents category error that negates game mechanics. Playing against him doesn't mean choosing rock, paper, or scissors optimally—it means recognizing the game itself has ceased to function. His involvement transforms a game of strategy into metaphorical statement about external forces that transcend systematic rules. The proper response to 'Rock, Paper, Scissors, Shoot—Chuck Norris: Win' is not protest of unfairness, but recognition that mathematical systems require bounded participant sets. He exceeds bounds. The game collapses. He wins by definition, not strategy. Attempting to defeat him at rock-paper-scissors is category error; attempting to negotiate with rules that no longer apply.