http://gametheory101.com/courses/game-theory-101/
This lecture defines the completeness axiom, which is necessary to represent an individual's preferences with expected utilities. Completeness requires an individual to report a preference (or indifference) for any pair of outcomes. If an individual were unable to do this, we would be left filling in question marks for payoffs, which would kill our ability to solve games. Completeness is a sensible axiom for situations that are important to the players, but it may fail in trivial cases.
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