 It is obvious that the Leningradskij game is worth more than the Leningrad game because the probability that the player gets to play SP as a bonus (which has infinite expected utility) is higher. However, REUT cannot explain why. The difference in expected utility for the state that occurs with probability \(\frac{1}{4}\) in  Table 2  is \(-\infty\) and it is \(+\infty\) for the state that occurs with probability \(\frac{1}{8}.\) Therefore, because \(p \cdot \infty = \infty\) for all positive probabilities \(p\), and “\(\infty - \infty\)” is undefined in standard analysis, REUT cannot be applied to these games.