Kuhn Poker – Minimum poker variant as a position study

Kuhn poker is a minimum variant of poker that Dr. Ing. Harold W. Kuhn invented for game-theoretical studies. In the Kuhn poker, the deck consists of only three cards, a ten, a king and an ace. Two players are playing against each other. Both have to pay an ante. Each participant will receive one card each. The players may then either fold or bet. The stake is another ante.

If the first player passes and players place two then player 1 may now also bet. Put both participants, it comes to the showdown, and the higher card wins. If one player has passed, but the other player has bet, the latter will win. The inventor Kuhn proves that if both players pursue an optimal strategy, player one must go bankrupt in the long run – simply because he is at a disadvantage due to his position over player two, who is always acting on him. Player one can only win if player two plays wrong.
If player two makes no mistakes, player one loses exactly 1/18 of the ant per hand played. Player two comes in terms of its position in an information advantage. He knows, even before he has to act, which decision has hit player one. Accordingly, he benefits in his action decision from the information received. Kuhn poker itself is not a poker variant that is played. However, this theoretical invention makes it very clear how important position is in poker, and this applies to all poker variants played. Especially for beginners it can not be urged enough that they not only have to pay attention to their hand in the game, but also their position at the table.

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