When I got to the end of the anecdote, I immediately assumed that Eliezer ended up taking the entire twenty dollars; it wasn’t until I read a little further that I realized we were discussing other options. I can justify this split by saying that since Eliezer appears to be more deserving of the twenty dollars, there’s no reason for Nick to receive a penny of it.
Another possible line of reasoning: there’s an extra twenty dollars there, and two people whom it would be reasonable to give it to, each of them perfectly willing to let the other have it, and so the money should go to whoever wants it more (or perhaps whoever’s less well off to begin with, or whoever’s younger).
And another: Eliezer is more deserving of it, and so we should prefer to give it to Eliezer, but Nick’s expected amount-of-money-that-was-his is 0.15 * $20, so we should give Eliezer as much as possible while still giving Nick at least that amount, i.e. Eliezer should get 85% and Nick should get 15%.
Or just give it to the driver.
I don’t see any reason that the probability-assigning function g would be identical to the money-assigning function f, because the amount of money Eliezer should get is not necessarily proportional to the probability that the twenty originally belonged to Eliezer. If we pretend that the algorithms given in the article are probability-assigning algorithms, then 4 looks the most compelling, 1 also looks reasonable, I don’t really understand 3, and 2 looks problematic (if Nick had said 15% and Eliezer had said 0%, then the correct adjustment seems to be to say that it’s Nick’s, with 100% probability).
I misremembered which one 2 was (I thought it was the one that’s actually 4), and I thought you were talking about something it did but you thought was wrong to do.
(WTH is happening to my reading comprehension skills lately?)
When I got to the end of the anecdote, I immediately assumed that Eliezer ended up taking the entire twenty dollars; it wasn’t until I read a little further that I realized we were discussing other options. I can justify this split by saying that since Eliezer appears to be more deserving of the twenty dollars, there’s no reason for Nick to receive a penny of it.
Another possible line of reasoning: there’s an extra twenty dollars there, and two people whom it would be reasonable to give it to, each of them perfectly willing to let the other have it, and so the money should go to whoever wants it more (or perhaps whoever’s less well off to begin with, or whoever’s younger).
And another: Eliezer is more deserving of it, and so we should prefer to give it to Eliezer, but Nick’s expected amount-of-money-that-was-his is 0.15 * $20, so we should give Eliezer as much as possible while still giving Nick at least that amount, i.e. Eliezer should get 85% and Nick should get 15%.
Or just give it to the driver.
I don’t see any reason that the probability-assigning function g would be identical to the money-assigning function f, because the amount of money Eliezer should get is not necessarily proportional to the probability that the twenty originally belonged to Eliezer. If we pretend that the algorithms given in the article are probability-assigning algorithms, then 4 looks the most compelling, 1 also looks reasonable, I don’t really understand 3, and 2 looks problematic (if Nick had said 15% and Eliezer had said 0%, then the correct adjustment seems to be to say that it’s Nick’s, with 100% probability).
Usually I’d say just donate it to charity. But which one?
Giving the extra to the driver doesn’t work if p>q, because the sum of the values each person believes they are entitled will be more than $20.00
Unless the driver is very nice.
Then either the money was Nick’s or Eliezer was lying. And if either of them was lying, no juggling with the numbers they said would make much sense.
Yes, I’m saying that the money is Nick’s in that case.
I misremembered which one 2 was (I thought it was the one that’s actually 4), and I thought you were talking about something it did but you thought was wrong to do.
(WTH is happening to my reading comprehension skills lately?)