[jogsxyz]

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I just noticed that you are the mod for this section. Are you
familiar with the 3-card deck game.

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I looked at what you wrote, seems interesting. I didn't thoroughly read it, probably will some time next week. As a homework exercise in a micro class we had to solve the 3 card game where the opponent has middle and the other player has high or low. The hi/lo guy can check for a showdown or bet. If he bets then the middle guy can call or fold. IIRC we did the version where the probability of having a high hand is p and low is 1-p, not just .5/.5.

Jared

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I've also posted the solution for the general case. You may vary p, the bet size and the pot size.