create 3^^^^3 units of disutility according to your utility function
For all X:
If your utility function assigns values to outcomes that differ by a factor of X, then you are vulnerable to becoming a fanatic who banks on scenarios that only occur with probability 1/X. As simple as that.
If you think that banking on scenarios that only occur with probability 1/X is silly, then you have implicitly revealed that your utility function only assigns values in the range [1,Y], where Y<X, and where 1 is the lowest utility you assign.
If you think that banking on scenarios that only occur with probability 1/X is silly, then you have implicitly revealed that your utility function only assigns values in the range [1,Y], where Y<X, and where 1 is the lowest utility you assign.
… or your judgments of silliness are out of line with your utility function.
When I said “Silly” I meant from an axiological point of view, i.e. you think the scenario over, and you still think that you would be doing something that made you win less.
Of course in any such case, there are likely to be conflicting intuitions: one to behave as an aggregative consequentialist, and the another to behave like a sane human being.
For all X:
If your utility function assigns values to outcomes that differ by a factor of X, then you are vulnerable to becoming a fanatic who banks on scenarios that only occur with probability 1/X. As simple as that.
If you think that banking on scenarios that only occur with probability 1/X is silly, then you have implicitly revealed that your utility function only assigns values in the range [1,Y], where Y<X, and where 1 is the lowest utility you assign.
… or your judgments of silliness are out of line with your utility function.
When I said “Silly” I meant from an axiological point of view, i.e. you think the scenario over, and you still think that you would be doing something that made you win less.
Of course in any such case, there are likely to be conflicting intuitions: one to behave as an aggregative consequentialist, and the another to behave like a sane human being.