RPS vs. Poker

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Posted by posted in Mid Stakes

RPS vs. Poker

I've often heard it said that (getting close to) the GTO strategy in
poker is a worthy pursuit because "poker is not like rock, paper,
scissors" in the sense that:



The GTO strategy in rock, paper, scissors guarantees that your opponent
will not be able to improve their expectation. It also fixes your own
expectation (to zero) against every possible strategy. In other words,
if one player plays the GTO strategy of strategy of Rock, Paper,
Scissors, both players have zero expectation. End of story.



Vs.



In poker, it is often claimed that the GTO strategy guarantees that the
best which your opponent can do is tie you, and they will lose money by
deviating from the GTO strategy (so long as you are playing GTO).




Certainly, this isn't true of all toy games which are designed to mimic
poker. The Half-Street Clairvoyance Game with 50% Nuts/50% air for the
attacker, for example, gives the same results as Rock, Paper, Scissors.
When either player plays their end of the equilibrium, it fixes the
expectation of the other player's strategy.




What is it about the structure of full-street poker which makes it
different than Rock, Paper, Scissors? Is the statement that "deviations
from GTO against a player playing GTO will lose expectation" in poker
even accurate?

Is there a term for games which have the property of Rock, Paper, Scissors, and games which have the property of poker (if in fact the above description of poker is true)?

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