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

Duplicate Poker

Duplicate poker is a variant of the popular card game poker. Duplicate poker is based on the principles of Duplicate Bridge but also involves some of the rules used for playing pot limit and no limit Texas hold'em.

Duplicate poker is a skill-based game in which there are two or more tables consisting of the same number of players. Each table is dealt with an identically shuffled deck of cards. Every player holds the same hand as the person seated in identical seats at other tables.

All players begin each hand with the ability to bet the same number of playing chips, regardless of prior performance in the previous rounds.

The object of Duplicate poker is to win more chips than your opponents sitting in corresponding seats at other tables. Ultimately, the winner is decided based on the total number of chips accumulated up until the end of the game, as compared with those held by all players in the same seats at the other tables. Conceivably, even a player who loses chips overall can win at the game if that player loses fewer chips than his opponents.

Duplicatepoker.com, the first poker room to use the format, closed down on October 5th 2008, citing the global financial crisis as the reason for the removal of services. It had previously been popular due to the fact that as a skill-based game it was legal in the U.S. While the game is more conducive to an automated online format because of pre-set decks and the need to record accurate scoring, Duplicate poker has also been played in a live format. The first-ever Duplicate poker tournament was held in April 2007 at the Cherokee Casino in Tulsa, Oklahoma.

Card Game Rules

Any specific card game imposes restrictions on the number of players. The most significant dividing lines run between one-player games and two-player games, and between two-player games and multi-player games. Card games for one player are known as solitaire or patience card games.  Generally speaking, they are in many ways special and atypical, although some of them have given rise to two- or multi-player games such as Spite and Malice.

In card games for two players, usually not all cards are distributed to the players, as they would otherwise have perfect information about the game state. Two-player games have always been immensely popular and include some of the most significant card games such as piquet, bezique, sixty-six, klaberjass, gin rummy and cribbage. Many multi-player games started as two-player games that were adapted to a greater number of players. For such adaptations a number of non-obvious choices must be made beginning with the choice of a game orientation.

One way of extending a two-player game to more players is by building two teams of equal size. A common case is four players in two fixed partnerships, sitting crosswise as in whist and contract bridge. Partners sit opposite to each other and cannot see each other's hands. If communication between the partners is allowed at all, then it is usually restricted to a specific list of permitted signs and signals. 17th century French partnership games such as triomphe were special in that partners sat next to each other and were allowed to communicate freely so long as they did not exchange cards or played out of order.

Another way of extending a two-player game to more players is as a cut-throat game, in which all players fight on their own, and win or lose alone. Most cut-throat card games are round games, i.e. they can be played by any number of players starting from two or three, so long as there are enough cards for all.

For some of the most interesting games such as ombre, tarot and skat card game, the associations between players change from hand to hand. Ultimately players all play on their own, but for each hand, some game mechanism divides the players into two teams. Most typically these are solo games, i.e. games in which one player becomes the soloist and has to achieve some objective against the others, who form a team and win or lose all their points jointly. But in games for more than three players, there may also be a mechanism that selects two players who then have to play against the others.