In the very beginning of the post, I read: “Quick psychology experiment”. Then, I read: “Right now, if I offered you a bet …”. Because of this, I thought about a potential real life situation, not a platonic ideal situation, that the author is offering me this bet. I declined both bets. Not because they are bad bets in an abstract world, but because I don’t trust the author in the first bet and I trust them even less in the second bet.
If you rejected the first bet and accepted the second bet, just that is enough to rule you out from having any utility function consistent with your decisions.
Under this interpretation, no it doesn’t.
Could you, the author, please modify the thought experiment to indicate that it is assumed that I completely trust the one who is proposing the bet to me? And, maybe discuss other caveats too. Or just say that it’s Omega who’s offering me the bet.
In the very beginning of the post, I read: “Quick psychology experiment”. Then, I read: “Right now, if I offered you a bet …”. Because of this, I thought about a potential real life situation, not a platonic ideal situation, that the author is offering me this bet. I declined both bets. Not because they are bad bets in an abstract world, but because I don’t trust the author in the first bet and I trust them even less in the second bet.
Under this interpretation, no it doesn’t.
Could you, the author, please modify the thought experiment to indicate that it is assumed that I completely trust the one who is proposing the bet to me? And, maybe discuss other caveats too. Or just say that it’s Omega who’s offering me the bet.
Sure. In fact, it might be good if I included a footnote describing the experimental design of the experiment on undergrads anyway.