KALAH VS STRATEGO
KALAH
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.
Statistics for this Xoptio
STRATEGO
Stratego is a strategy board game for two players on a board of 10×10 squares. Each player controls 40 pieces representing individual officer and soldier ranks in an army. The pieces have Napoleonic insignia. The objective of the game is to find and capture the opponent's Flag, or to capture so many enemy pieces that the opponent cannot make any further moves. Stratego has simple enough rules for young children to play but a depth of strategy that is also appealing to adults. The game is a slightly modified copy of an early 20th century French game named L'Attaque. It has been in production in Europe since World War II and the United States since 1961. There are now two- and four-handed versions, versions with 10, 30 or 40 pieces per player, and boards with smaller sizes (number of spaces). There are also variant pieces and different rulesets. The International Stratego Federation, the game's governing body, sponsors an annual Stratego World Championship. The name Stratego was first registered in 1942 in the Netherlands. The United States trademark was filed in 1958 and registered in 1960 to Jacques Johan Mogendorff and is presently owned by Jumbo Games as successors to Hausemann and Hotte, headquartered in the Netherlands. It has been licensed to manufacturers such as Milton Bradley, Hasbro and others, as well as retailers such as Barnes & Noble, Target stores, etc. The game box contents are a set of 40 gold-embossed red playing pieces, a set of 40 silver-embossed blue playing pieces, a glossy folding 15 1⁄2 in × 18 1⁄2 in (39 cm × 47 cm) rectangular cardboard playing board imprinted with a 10×10 grid of spaces, and instructions printed in English on the underside of the box top. The early sets featured painted wood pieces, later sets colored plastic. The pieces are small and roughly rectangular, 1 in (25 mm) tall and 3⁄4 in (19 mm) wide, and unweighted. More modern versions first introduced in Europe have cylindrical castle-shaped pieces. Some versions have a cardboard privacy screen to assist setup. A few versions have wooden boxes or boards.