Non-equilibrium game theory.
Maybe accept unique equilibria when they exist. To first approximation, the idea is that agents are uncertain about what equilibrium they're in if there are several. This has obvious problems -- they're not in any equilibrium then, so why do they think they may be?
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What does it mean to have common knowledge that all players are "rational" without knowing what function they implement?
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Maybe you know that their function maximizes an expected utility, and you know their utility function, and you even know that there's a common prior between you wrt the game being played, but all you know about their beliefs about you is that they know those same things about you
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Because an infallible superbeing told you so?
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More like, because you were constructed for the purpose of being a convenient thought experiment.
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