Kuhn poker

Kuhn poker

 

Kuhn poker is a simplified form of poker developed by Dr. Harold W. Kuhn. It is a zero sum two player game. The deck includes only three playing cards, for example a King, Queen, and Jack. One card is dealt to each player, then the first player must bet or pass, then the second player may bet or pass. If any player chooses to bet the opposing player must bet as well "call" in order to stay in the round. After both players pass or bet the player with the highest card wins the pot. Kuhn demonstrated that there are many game theoretic optimal strategies for the first player in this game, but only one for the second player, and that, when played optimally, the first player should expect to lose at a rate of −1/18 per hand.

In more conventional poker terms:

Each player antes 1
Each player is dealt one of the three cards, and the third is put aside unseen
Player One can check or raise 1
If Player One checks then Player Two can check or raise 1
If Player Two checks there is a showdown for the pot of 2
If Player Two raises then Player One can fold or call
If Player One folds then Player Two takes the pot of 3
If Player One calls there is a showdown for the pot of 4
If Player One raises then Player Two can fold or call
If Player Two folds then Player One takes the pot of 3
If Player Two calls there is a showdown for the pot of 4

Acey Deucey

Acey Deucey, also known as In-Between or Sheets, is a simple card game that involves betting. Before the action, each player must add their ante into the pot. Two cards are then dealt face-up to one player. That player then bets from nothing to the amount that is in the pot at the time whether or not the third card will numerically fall in between the first two. If the third card falls in between the two other cards, the bettor takes the amount he bet out of the pot; if the third card falls outside of the two other cards, the bettor must add what he bet to the pot; and if the third card matches the numerical value of one of the other two cards, the bettor must add to the pot double what he bet. If two cards of the same value come up, e.g. 2,2 the bettor picks if the next card will be higher or lower and bets. If the next card is the same as the last two, i.e. a 2, the bettor must triple his/her bet.

The rules and specifics of the game often vary from region to region. For example in Liaoning province, northeast China the minimum number of players is 4 and each player is required to ante before the first card is turned. Two cards are then dealt face-up to one player. That player then bets from nothing to the amount that is in the pot at the time during the first time around the table players are only allowed to bet up to half of the pot whether or not the third card will numerically fall in between the first two.

If the third card falls in between the two other cards, the bettor takes the amount he bet out of the pot; if the third card falls outside of the two other cards, the bettor must add what he bet to the pot; and if the third card matches the numerical value of one of the other two cards, this is referred to as a Post and the bettor must add to the pot double his initial bet. If two cards of the same value come up, e.g. 2,2 the bettor picks if the next card will be higher or lower and bets. If the next card is the same as the last two, i.e. a 2, this is considered a Post and the player is required to pay double the bet for the hand.

In addition to this, there is a special rule for Aces. If the first card turned is an Ace the player may choose its value as either the high Ace or the low one. If an Ace comes up as the second card turned it is always considered the high Ace. If a player Posts on an Ace they are required to pay four times their bet for that hand. Aces also cause an automatic loss if it is the third card turned when the first two cards are a match, e.g. 6,6. The best spread in the game is considered to be a low Ace on the left and a high Ace on the right. This is also one of the worst hands to get as you run the risk of the third card being an Ace and having to pay four times your bet for the hand.

Another variation is to split the cards if two end cards are the same value. This requires the bettor to ante in for two hands and the dealer would draw one more card under each of the end cards. After this, the same rules apply.

Billabong

Billabong is a mixed version of Manila. Each player is dealt two down cards and one upward. Low upward starts the betting with a Bring-in if you are playing with one, otherwise high card starts the betting. Next, two community cards are dealt, followed by a second betting round, beginning with the player with the best exposed partial poker hand counting the community cards, as in Oxford stud. Then a third community card is dealt, followed by a third betting round. Finally a fourth community card is dealt, followed by a fourth betting round and showdown. Each player plays the best five-card hand he can make from the three in his hand plus the four on the board in any combination.

Shanghai is the same game with an extra hole card, but no more than two hole cards play. That is, the game begins with each player being dealt three down cards and one upward; each player must discard one of his hole cards at some point during the game as determined ahead of time. The most common variation is to discard immediately as in Pineapple; the second most common is to discard just before showdown as in Tahoe.