Before revision:  Petersburg Lottery. I argue that the sort of background uncertainty on which these results depend is appropriate for any agent who assigns normative weight to aggregative consequentialist considerations, i.e., who measures the choiceworthiness of an option in part by the total amount of value in the resulting world.
After revision:  Petersburg game. The sort of background uncertainty on which these results depend is appropriate for any agent who assigns normative weight to aggregative consequentialist considerations, i.e., who measures the choiceworthiness of an option in part by the total amount of value in the resulting world.