 Under the circumstances described here, we seem to have no reason to prefer any particular order in which to sum up the terms of the infinite series. So is the expected value of Pasadena game \(\ln 2\) or \(\frac{1}{2}(\ln 2)\) or \(\frac{1}{3}\) or \(-\infty\) or 345.68? All these suggestions seem equally arbitrary. Moreover, the same holds true for the Altadena game, in which every payoff is increased by one dollar. The Altadena game is clearly better than then Pasadena game, but advocates of expected utility theory seem unable to explain why.