This might be a restatement of limitation #4, but another limitation of this type of analysis is that the average outcome is assuming both players follow the Nash equilibrium probability distribution. However, there might not be enough repetitions of the situation in a game to allow the usages of the strategies to converge to the ideal distribution, making the payoff very different from the expected one.
- The payoff can be different if the opponent diverges from the Nash equilibrium, but it can only diverge in your favor. That's the definition of an equilibrium strategy—the opponent only loses by doing anything else. But, yes, it's possible that you get very unlucky and always guess wrong even if you have the “correct” strategy. That's life. No strategy can save you from that. RogerDodger (talk) 18:25, 14 February 2022 (UTC)