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One property economists like to see from utility functions and preferences is the transitive property. If $A$ is preferred to $B$, and $B$ is preferred to $C$, then $A$ should be preferred to $C$. Another critical property is one of completeness. Relations are complete if, for all $A$ and $B$, $A$ is related to $B$, $B$ is related to $A$, or both.

Is the game of “rock, paper, scissors” transitive and complete?


Rock, paper, scissors is both transitive and complete.


Rock, paper, scissors is complete, but not transitive.


Rock, paper, scissors is transitive, but not complete.


Rock, paper, scissors is neither transitive nor complete.

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