 Readers who feel unconvinced by this argument may wish to imagine a version of the St. Petersburg game in which the player is hooked up to Nozick’s Experience Machine (see section 2.3 in the entry on  hedonism).  By construction, this machine can produce any pleasurable experience the agent wishes. So once the coin has been flipped n times, the Experience Machine will generate a pleasurable experience worth \(2^n\) units of utility on the player’s personal utility scale. Aumann (1977) notes without explicitly mention the Experience Machine that: