Question: Are Agon and Medina both games for exactly two players?

full_context: Document 1: Sixteen Soldiers: Sixteen Soldiers is a two-player abstract strategy board game from Sri Lanka. It also comes from India under the name Cows and Leopards. A variant of this game is also popular in Bangladesh, where it is known as Sholo guti (Sixteen pieces). The game is similar to draughts and Alquerque as players hop over one another's pieces to capture them. However, unlike draughts and standard Alquerque, the game is played on an expanded Alquerque board consisting of four triangular boards attached to the four sides of an Alquerque board. Also, pieces can move and capture in any direction from the beginning. There is no promotion to King. Its actual closest relatives are Peralikatuma and Kotu Ellima which are also from the Indian subcontinent. The only real difference between these three closely related games is the number of pieces. In Sixteen Soldiers, each player has 16 pieces hence the name of the game. In Peralikatuma, each player has 23 pieces. In Kotu Ellima, each player has 24 pieces. Sixteen Soldiers is also related to the Indonesian game of Permainan-Tabal.
Document 2: Medici (board game): Medici is a German-style board game by Reiner Knizia. Players buy cards in an auction and match in series and in sets to end up with most points from those formations.
Document 3: Through the Desert: Through the Desert is a German-style board game designed by Reiner Knizia. It was originally released in 1998 by German game publisher, Kosmos, under the name "Durch die Wüste". Players place pastel colored plastic camels on a hexagon-based board in an attempt to score points by capturing watering holes and reaching oases.
Document 4: Camel Up: Camel Up is a board game for two to eight players. It was designed by Steffen Bogen and illustrated by Dennis Lohausen, and published in 2014 by Pegasus Spiele. Players place bets on a camel race in the desert; the player who wins the most money is the winner of the game. "Camel Up" won the Spiel des Jahres in 2014.
Document 5: Hex (board game): Hex is a strategy board game for two players played on a hexagonal grid, theoretically of any size and several possible shapes, but traditionally as an 11×11 rhombus. Players alternate placing markers or stones (Go stones make ideal playing pieces) on unoccupied spaces in an attempt to link their opposite sides of the board in an unbroken chain. One player must win; there are no draws. The game has deep strategy, sharp tactics and a profound mathematical underpinning related to the Brouwer fixed-point theorem. It was invented in the 1940s independently by two mathematicians, Piet Hein and John Nash. The game was first marketed as a board game in Denmark under the name Con-tac-tix, and Parker Brothers marketed a version of it in 1952 called Hex; they are no longer in production. Hex can also be played with paper and pencil on hexagonally ruled graph paper.
Document 6: Ploy (board game): Ploy is an abstract strategy board game for two or four players, played on a 9x9 board with a set of 15 pieces (2-handed) or 9 pieces (4-handed and partnership games) per player. Pieces have various horizontal, vertical or diagonal moves somewhat like chess pieces, except directions of movement are limited; pieces change directions of movement by "rotating". Object of the game is to capture the opponent's "Commander" (analogous to the king in chess), or all of his other pieces.
Document 7: Carcassonne (board game): Carcassonne is a tile-based German-style board game for two to five players, designed by Klaus-Jürgen Wrede and published in 2000 by Hans im Glück in German and by Rio Grande Games (until 2012) and Z-Man Games (currently) in English. It received the Spiel des Jahres and the Deutscher Spiele Preis awards in 2001.
Document 8: Sugoroku: Sugoroku (雙六 or 双六 ) (literally 'double six') refers to two different forms of a Japanese board game: "ban-sugoroku" (盤双六, 'board-sugoroku') which is similar to western backgammon, and "e-sugoroku" (絵双六, 'picture-sugoroku') which is similar to western Snakes and Ladders.
Document 9: Agon (game): Agon (or Queen's Guard, Queen's Guards, Royal Guards) is a strategy game for two players, played on a 6×6×6 hexagonal gameboard.
Document 10: Alhambra (board game): Alhambra (German: Der Palast von Alhambra , literally "The Palace of the Alhambra") is a 2003 tile-based German-style board game designed by Dirk Henn. It was originally published in Germany by Queen Games in a language-interdependent version; an English-specific version was released in North America by the now-defunct Überplay. The game is an Arabian-themed update, set during the construction of the Alhambra palace in 14th century Granada, of the 1998 stock trading board game "Stimmt So!", which in turn was an update of the 1992 mafia influence board game "Al Capone"; the original version was subsequently released as "".
Document 11: Adugo: Adugo is a two-player abstract strategy game that comes from the Bororo tribe on the Pantanal region of Brazil.
Document 12: Medina (board game): Medina is a board game designed by Stefan Dorra and published by Hans im Glück and Rio Grande Games in 2001. In the game, three or four players compete to be the most influential developer of Medina, a desert city near the Atlas Mountains in 1822. Variations of the game allow 2 or 5 players. The game was nominated for the 2001 Deutscher Spiele Preis and the 2003 Jeu de l'année, but won neither prize.
Document 13: Kharbaga: Kharbaga is a two-player abstract strategy game from Africa. In a way, it is a miniature version of Zamma; however, there are more diagonal lines per square on the board as compared to Zamma. The game is considered part of the Zamma family. The game is also similar to Alquerque and draughts. The board is essentially an Alquerque board with twice the number of diagonal lines or segments allowing for greater freedom of movement. The initial setup is also similar to Alquerque, where every space on the board is filled with each player's pieces except for the middle point of the board. Moreover, each player's pieces are also set up on each player's half of the board. The game specifically resembles draughts in that pieces must move in the forward directions until they are crowned "Mullah" (or "Sultan") which is the equivalent of the King in draughts. The Mullah can move in any direction.
Document 14: 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 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 2- and 4-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.
Document 15: Quoridor: Quoridor is a 2- or 4-player abstract strategy game designed by Mirko Marchesi and published by Gigamic Games. Quoridor received the Mensa Mind Game award in 1997 and the Game Of The Year in the USA, France, Canada and Belgium.
ground_truth: no