Re: Game Theory Problem Of The Week
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You can't fine tune a strategy to just one opponent (even if that opponent is optimal) and call it optimal against all.
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If you can fine-tune your strategy in a way that is +EV, then one of the two of you isn't playing optimally at all.
That's the whole point of trying to find these equilibrium strategies.
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That's only true if the there is no positional advantage in the game.
You can find strategies for P2 that are +EV because this game has a 1/9 ante advantage for player P2.
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***NINJA EDIT ADD***
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Can you find a strategy against my P1 which gives P2 an EV > 1/9?
Can you find a strategy against my P2 which gives P1 an EV > -1/9?
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I already gave examples of adjustments vs your P1 *and* your P2 that are quite clearly +EV.
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That's not true.
Optimal EV for P1 against my P2 is -1/9
Optimal EV for P2 against my P1 is +1/9
None of your strategies reached or exceeded those EV's
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