That's not what's at issue. The statement still says that the chance of winning is so low as not to be worth talking about. That implies that one does not calculate expected utility. My interpretation is correct. Eliezer has written 3 comments in reply, and is still trying to present it as if what is at issue here is that I consistently misrepresent him.
I am not misrepresenting him. My interpretation is correct. As has probably often been the case.
Phil, I think you're interpeting his claim too literally (relative to his intent). He is only trying to help people who have a psychological inability to discount small probabilities appropriately. Certainly if the lottery award grows high enough, standard decision theory implies you play ....this is one of the pascal's mugging variants (similarly, whether to perform hypothetical exotic physics experiments with small probability of yielding infinite (or just extremely large) utility and large probability of destroying everything) which is not fully resolved for any of us, I think.
In passing, I said:
And lo, CronoDAS said:
To which I replied:
There's a certain resemblance here - though not an actual analogy - to the strange position your friend ends up in, after you test the Quantum Theory of Immortality.
For those unfamiliar with QTI, it's a simple simultaneous test of many-worlds plus a particular interpretation of anthropic observer-selection effects: You put a gun to your head and wire up the trigger to a quantum coinflipper. After flipping a million coins, if the gun still hasn't gone off, you can be pretty sure of the simultaneous truth of MWI+QTI.
But what is your watching friend supposed to think? Though his predicament is perfectly predictable to you - that is, you expected before starting the experiment to see his confusion - from his perspective it is just a pure 100% unexplained miracle. What you have reason to believe and what he has reason to believe would now seem separated by an uncrossable gap, which no amount of explanation can bridge. This is the main plausible exception I know to Aumann's Agreement Theorem.
Pity those poor folk who actually win the lottery! If the hypothesis "this world is a holodeck" is normatively assigned a calibrated confidence well above 10-8, the lottery winner now has incommunicable good reason to believe they are in a holodeck. (I.e. to believe that the universe is such that most conscious observers observe ridiculously improbable positive events.)
It's a sad situation to be in - but don't worry: it will always happen to someone else, not you.