I am concerned for your monetary strategy (unless you’re rich). Let’s say you’re absolutely right that LW is overconfident, and that there is actually a 10% chance of aliens rather than 0.5. So this is a good deal! 20x!
But only on the margin.
Depending on your current wealth it may only be rational to take a few hundred dollars worth of these bets for this particular bet. If you go making lots of these types of bets (low probability, high payoff, great EXpected returns) for a small fraction of your wealth each, you should expect to make money, but if you make only 3 or 4 of these types of bets, you are more likely to lose money because your are loading all your gains into a small fraction of possibilities in exchange for huge payouts, and most outcomes end up with you losing money.
See for example the St. Petersburg paradox which has infinite expected return, but very finite actual value given limited assets for the banker and or the player.
If you think the true likelihood is 10%, and are being offered odds of 50:1 on the bet, then the Kelly Criterion suggests you should be about 8% of your bankroll. For various reasons (mostly human fallibility and an asymmetry in the curve of the Kelly utility), lots of people recommend betting at fractions of the Kelly amount. So someone in the position you suggest might reasonably wish to be something like $2-5k per $100k of bankroll. That strategy, your proposed credences, and the behavior observed so far would imply a bankroll of a few hundred thousand dollars. That’s not trivial, but also far from implausible in this community.
I’d also guess that the proper accounting of the spending here is partly on the bet for positive expected value, and partly on some sort of marketing / pushing for higher credibility of their idea sort of thing. I’m not sure of the exact mechanism or goal, and this is not a confident prediction, but it has that feel to it.
I am concerned for your monetary strategy (unless you’re rich). Let’s say you’re absolutely right that LW is overconfident, and that there is actually a 10% chance of aliens rather than 0.5. So this is a good deal! 20x!
But only on the margin.
Depending on your current wealth it may only be rational to take a few hundred dollars worth of these bets for this particular bet. If you go making lots of these types of bets (low probability, high payoff, great EXpected returns) for a small fraction of your wealth each, you should expect to make money, but if you make only 3 or 4 of these types of bets, you are more likely to lose money because your are loading all your gains into a small fraction of possibilities in exchange for huge payouts, and most outcomes end up with you losing money.
See for example the St. Petersburg paradox which has infinite expected return, but very finite actual value given limited assets for the banker and or the player.
If you think the true likelihood is 10%, and are being offered odds of 50:1 on the bet, then the Kelly Criterion suggests you should be about 8% of your bankroll. For various reasons (mostly human fallibility and an asymmetry in the curve of the Kelly utility), lots of people recommend betting at fractions of the Kelly amount. So someone in the position you suggest might reasonably wish to be something like $2-5k per $100k of bankroll. That strategy, your proposed credences, and the behavior observed so far would imply a bankroll of a few hundred thousand dollars. That’s not trivial, but also far from implausible in this community.
I’d also guess that the proper accounting of the spending here is partly on the bet for positive expected value, and partly on some sort of marketing / pushing for higher credibility of their idea sort of thing. I’m not sure of the exact mechanism or goal, and this is not a confident prediction, but it has that feel to it.