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...
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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OWARE
Oware is an abstract strategy game among the Mancala family of board games (pit and pebble games) played worldwide with slight variations as to the la...
Oware is an abstract strategy game among the Mancala family of board games (pit and pebble games) played worldwide with slight variations as to the layout of the game, number of players and strategy of play. Its origin is uncertain but it is widely believed to be of Ashanti origin.
Played in the Bono Region, Bono East Region, Ahafo Region, Central Region, Western Region, Eastern Region, Ashanti Region of Ghana and throughout the Caribbean, Oware and its variants have many names - Ayò, Ayoayo (Yoruba), Awalé (Ivory Coast, Benin), Wari (Mali), Ouri, Ouril or Uril (Cape Verde), Warri (Caribbean) Pallanguzhi (India) Wali (Dagbani), Adji (Ewe), Nchọ/Ókwè (Igbo), ise (Edo), Awale in (Ga) meaning Spoons in English according to the Ga name for the game. A common name in English is Awari but one of the earliest Western scholars to study the game, Robert Sutherland Rattray, used the name Wari.
The game requires an oware board and 48 seeds. A typical oware board has two straight rows of six pits, called "houses", and optionally one large "score" house at either end. Each player controls the six houses on their side of the board, and the score house on their end. The game begins with four seeds in each of the twelve smaller houses.
Boards may be elaborately carved or simple and functional; they may include a pedestal, or be hinged to fold lengthwise or crosswise and latch for portability and storage with the seeds inside. While most commonly located at either end, scoring houses may be placed elsewhere, and the rows need not be straight. When a board has a hinged cover like a diptych, the scoring houses may be carved into the two halves of the cover, and so be in front of the players during play. The ground may also be used as a board; players simply scoop two rows of pits out of the earth.
In the Caribbean, the seeds are typically nickernuts, which are smooth and shiny. Beads and pebbles are also sometimes used. In the West, some cheaper sets use oval-shaped marbles. Some tourist sets use cowrie shells.
The game starts with four seeds in each house. The objective of the game is to capture more seeds than one's opponent. Since the game has only 48 seeds, capturing 25 is sufficient to win the game. Since there is an even number of seeds, it is possible for the game to end in a draw, where each player has captured 24.
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