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Suppose I'm playing poker against 8 other players. If all of them use the GTO strategy, then the best I can do is to use GTO myself, to have an expected win/loss rate of 0.
If some of them deviate from GTO, then it might become unprofitable for me to play GTO, but I could change my own strategy to exploit them.
Could my 8 opponents agree on a set of 8 strategies in advance, such that when I play against them, my expected reward is always negative, regardless of what strategy I choose?
I.e. could my 8 opponents collectively cheat against me? Even if one of 8 players looses money, eventually they will split the joint profit evenly.
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