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MichaelBishop comments on The Domain of Your Utility Function - Less Wrong
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Comments (94)
Intransitive preferences don't mean that you can't describe an agent's actions with a utitilty function. So what if an agent prefers A to B, B to C and C to A? It might mean they will drive in circles and waste their energy - but it doesn't mean you can't describe their preferences with a utility function. All it means is that their utility function will not be as simple as it could be.
Its not clear you're contradicting Cyan. You describe the converse of what he describes.
Even if a utility function can be written down which allows intransitive preferences, its worth noting that transitive preferences is a standard assumption.
ISTM that if an agent's preferences cannot be described by a utility function, then it is because the agent is either spatially or temporally infinite - or because it is uncomputable.