KALAH VS PLATEAU

Kalah, also called Kalaha or Mancala, is a game in the mancala family invented in the United States by William Julius Champion, Jr. in 1940. This game is sometimes also called "Kalahari", possibly by false etymology from the Kalahari desert in Namibia. As the most popular and commercially available variant of mancala in the West, Kalah is also sometimes referred to as Warri or Awari, although those names more properly refer to the game Oware. For most of its variations, Kalah is a solved game with a first-player win if both players play perfect games. The Pie rule can be used to balance the first-player's advantage. Mark Rawlings has written a computer program to extensively analyze both the "standard" version of Kalah and the "empty capture" version, which is the primary variant. The analysis was made possible by the creation of the largest endgame databases ever made for Kalah. They include the perfect play result of all 38,902,940,896 positions with 34 or fewer seeds. In 2015, for the first time ever, each of the initial moves for the standard version of Kalah(6,4) and Kalah(6,5) have been quantified: Kalah(6,4) is a proven win by 8 for the first player and Kalah(6,5) is a proven win by 10 for the first player. In addition, Kalah(6,6) with the standard rules has been proven to be at least a win by 4. Further analysis of Kalah(6,6) with the standard rules is ongoing. For the "empty capture" version, Geoffrey Irving and Jeroen Donkers (2000) proved that Kalah(6,4) is a win by 10 for the first player with perfect play, and Kalah(6,5) is a win by 12 for the first player with perfect play. Anders Carstensen (2011) proved that Kalah(6,6) was a win for the first player. Mark Rawlings (2015) has extended these "empty capture" results by fully quantifying the initial moves for Kalah(6,4), Kalah(6,5), and Kalah(6,6). With searches totaling 106 days and over 55 trillion nodes, he has proven that Kalah(6,6) is a win by 2 for the first player with perfect play. This was a surprising result, given that the "4-seed" and "5-seed" variations are wins by 10 and 12, respectively. Kalah(6,6) is extremely deep and complex when compared to the 4-seed and 5-seed variations, which can now be solved in a fraction of a second and less than a minute, respectively.

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Plateau is a two-player abstract strategy board game invented by Jim Albea. The game was developed over a two-year period culminating in its present form on May 12, 1986. The original name for the game was Pinnacle, but it was discovered that an older board/card game had that name, so around 1989 the name was changed to Plateau. From the 1980s through the 1990s Plateau was played at Science Fiction conventions mostly in the Southeastern United States. From the 1990s to the present, the game is played live at an online game site and via email. In 1997 a computer implementation of the game was created which facilitates email play and has a computer robot. Onboarding is adding one new piece to the play. This new piece can be placed anywhere that doesn't directly harm an opposing piece. For instance, you can onboard to any blank square or on top of any of your own pieces. The majority of Plateau moves are onboards. Instead of Onboarding or Moving, a player can choose to spend his turn exchanging prisoners. Prisoners are exchanged using the point values of the pieces. A simple value-for-value system is used. Since the pieces range in value from 1 point (for the mute) to 21 points (for the Ace) there are usually several combinations and options available for the players. The player initiating the exchange selects the pieces he wishes to exchange. These pieces will all add up to some point value. The responding player then has four options depending on the point values of the prisoners that he holds.

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