Ro-Sham-Bo and thinking levels.
In Ro-Sham-Bo (=rockpaperscissors) level n+3 thinking is identical to level n thinking, for every n>0.
Discuss.
More generally, for each form of poker are there numbers k and N such that level n+k thinking is identical to level n thinking, for every n>N? If so, roughly how big are k and N?
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