Quote:
Originally Posted by aner0
Blinds have nothing to do with the difference between RPS and Poker.
You could play RPS with blinds similar to a HU match and each play would still be worth the same EV in equilibrium.
You could also play Poker with no blinds and you could make plays that lose EV against GTO (unlike in RPS), such as betting with anything other than the nuts.
I still postulate that the main reason why you can lose EV against GTO in poker is because some hands are weaker than others
Maybe blinds are not the only difference, but you couldn't play RPS with blinds without the action being sequential rather than simultaneous. Maybe that is a bigger difference between poker and RPS, action being sequential rather than simultaneous.
However, my point remains, if you play poker without blinds, an optimal strategy will be to fold every hand. There may be other optimal strategies (as there is no guarantee that there is only one equilibrium strategy), but, by definition, an optimal strategy in a game such as poker (assuming no rake) will have an EV of 0 against another optimal strategy. Therefore, folding 100% of the time will be an optimal strategy, as it is unexploitable by any other strategy, and will achieve the same EV (0) against any possible optimal strategy. And if hero plays poker with no blinds vs someone who is playing a GTO strategy for that game consisting of folding every hand, then hero cannot make a mistake. Which is pretty similar to the situation OP was describing. This may not be the case if hero is playing against a player who is playing an optimal strategy which doesn't involve folding 100% of the time (as there may be more than one optimal strategy, this is a conceivable situation). In this case, then hero may easily have a strategy which has negative EV, and make costly mistakes (which they can improve by folding every hand).
Introduce blinds, and clearly folding every hand is now a dominated strategy, as it can be improved by folding every hand except from AA, which you jam. Obviously, there are many more ways in which it can be improved, but you only need to find one to demonstrate it is now a dominated strategy. On top of this, with blinds and no rake, it still holds true that an equilibrium strategy will have an EV of exactly 0 against another equilibrium strategy, and clearly, folding every hand will have a negative EV, so by definition cannot be an equilibrium strategy.
None of my comments were about how using a GTO strategy will win at poker against people not playing a GTO strategy, or why you can lose EV against a GTO strategy. All the comments I made, someone with knowledge of game theory and who has just been introduced to the rules of poker should be able to make. I was just trying to show a theoretical example of how it may be possible to slightly manipulate the rules of poker to get to a situation like OP described, where a player cannot make a mistake when playing against a GTO strategy. Which is limited to playing poker with no blinds. Once blinds are introduced, this doesn't hold true anymore. So, seen as I've showed that in poker without blinds, you can play a GTO strategy against which it is impossible to make a mistake, and that in RPS, a GTO strategy exists against which it is impossible to make a mistake, I think it is fair to say that there are some similarities between RPS and poker without blinds. If we assume that it is possible to make a mistake against a player playing a GTO equilibrium poker strategy (and this seems like a very reasonable assumption), I feel like it is a reasonable conclusion that the introduction of blinds to poker is a source of major complexity in the game, and also a point of difference when comparing poker to RPS. But maybe not the only one.