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?