Re: OK so how would you go about showing poker is a game of skill?
I think this is a fairly easy question. Create two games of x hands of a limit game (HE, for simplicity), where each hand is played from the same seeded deck.
In game one, apply a random strategy, where at each point in the hand where hero is provided with a decision (fold/call/raise) his action is determined randomly. (or close enough... use seed numbers from your internal clock or roll a die)
In game two, the hands are played by a competent human player.
Even better, you could have Villain employ the random strategy, and Hero is a competent human player.
Then you just need to calculate your St/D and play enough hands to be 99+% confident that Hero is a winner.
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