This is similar to the St. Petersburg problem. The way I satisfy myself with that answer is to note that it's kind of a spherical cow problem. Nobody in the r

This is similar to the St. Petersburg problem. The way I satisfy myself with that answer is to note that it's kind of a spherical cow problem. Nobody in the real world can afford to run this game, since it requires an infinite amount of money -- even a currency issuer would expect to just make their currency worthless by running it, and an offering of physical resources instead of currency would violate thermodynamics in all sorts of ways. Spherical cow problems often end in counterintuitive results.