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Peter_Twieg comments on Sunk Cost Fallacy - Less Wrong
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Going to the theater in this case can be viewed as respecting the wishes of your past self, and possibly future selves (who may desire to have seen the film in question). Without some ability to do this, long-term planning would be impossible.
Your current self counts, but not necessarily more than temporally displaced selves.
Actually, without some ability to do that in the future, long-term planning would be impossible. Whether one has the ability in the present to uphold obligations to the past is only relevant to future time-consistency insofar as we think this directly lends itself to having this ability in the future, and... I think it's far from clear whether that relationship will reliably occur, and even whether it should occur.