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DanArmak comments on Buridan's ass and the psychological origins of objective probability - Less Wrong
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Run your decision procedure for a constant time. If it doesn't halt, abort it and break the symmetry - e.g. by choosing the option that sorts first lexically.
The constant time part could work, but is hardly the only escape valve you should have. You have a utility estimate for each action- the estimates will have some variance, and you can run the procedure until either the variance is below a certain amount or the variance has decreased by less than some threshold in the last iteration or you've run out of time.