“The Time Resolution of the St Petersburg Paradox”, 2011 (; backlinks; similar):
A resolution of the St Petersburg paradox is presented.
In contrast to the standard resolution, utility is not required. Instead, the time-average performance of the lottery is computed. The final result can be phrased mathematically identically to Daniel Bernoulli’s resolution, which uses logarithmic utility, but is derived using a conceptually different argument.
The advantage of the time resolution is the elimination of arbitrary utility functions.