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roystgnr comments on For the game theorists out there... - Less Wrong
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They all form one big loop, so no option really has any distinguishing feature over the others.
You and DanielLC are right, however:
Just because a game is isomorphic to a symmetric problem doesn't mean that it is a symmetric problem. "Scissors cut Paper wraps Rock smashes Scissors" has an equivalent formalism to "Policeman arrests Murderer kills Mayor bosses Policeman" but I'd bet with the latter (played as a single-round game) you'd see some very different game play in practice.
So what CronoDAS needs isn't a game theorist, it's a psychologist.