![]() ![]() A Nash equilibrium is a situation where each “Stratego” player uses the game strategy that has the highest chance of defeating the other player’s strategy. That method forms the basis of the DeepNash system DeepMind detailed this week.Īccording to DeepMind, DeepNash develops a plan for winning “Stratego” matches by simulating a so-called Nash equilibrium. To address that limitation, DeepMind’s researchers developed a new AI method dubbed R-NaD that draws on the mathematical field of game theory. Chess has a game tree complexity number of 10 to the power of 123, while in “Stratego,” that number increases to 10 to the power of 535.Īccording to DeepMind, traditional methods of teaching AI systems to play board games can’t be applied well to “Stratego” because of its complexity. ![]() The number of potential tactics that players can use in a board game is measured with a metric known as the game tree complexity number. This dynamic makes playing the game difficult for AI systems.Īnother source of complexity is that there are more possibilities to consider than in chess. ![]() A player might know that the other player has placed a game piece on a certain section of the board, but not which specific game piece was placed there. In “Stratego,” each player has only limited information about the other player’s game pieces. But there are a number of differences between the two games that make “Stratego” more complicated than chess. Players receive a collection of game pieces that, like chess pieces, are maneuvered around the board until one of the players wins. “Stratego” is a two-player board game that is similar to chess in certain respects. The Alphabet unit says that DeepNash achieved a win rate of more than 84% in matches against expert human players. NOTE: The Flag and the Bombs cannot attack.Alphabet Inc.’s DeepMind unit has developed a new artificial intelligence system capable of playing “Stratego,” a board game considered more complex than chess and Go.ĭeepMind detailed the AI system, which it dubs DeepNash, on Thursday. Only a Miner can attack and remove a bomb! See “ Specialist Pieces”. The attacking piece loses and is captured. Both pieces are captured when the rank of your piece matches that of your opponent’s.Ĭaptured pieces are immediately removed from the board.The opponent’s piece remains on its square. Your piece is captured if it has a lower rank than your opponent’s.The winning piece now occupies that square. The piece with a higher rank wins the attack and captures the opponent’s piece.Your opponent must call out his or her piece’s rank.call out your piece’s rank (name and number).pick up your piece and tap your opponent’s piece,.You can attack if one of your opponent’s pieces occupies a square in front, beside, or behind yours. ![]() These pieces must remain where they were placed at the start of the game. The player who started this must stop first. The same piece cannot be moved back and forth between the same two squares three times in a row.After a piece is moved to a square and the player’s hand removed, it cannot be repositioned.Pieces must move around these areas, not over them. There are no squares in the Lakes area in the center of the board.Pieces cannot jump over or move through an occupied square.Two pieces cannot occupy the same square at the same time.Only forward, backward, and sideways movements are possible. During a turn, only one piece can be moved (except Scouts, see “ Specialist Pieces“).When none of your pieces are able to move or attack, the game is over and your opponent wins. No moving and attacking in the same turn. The Red Player takes the first turn.Įach turn, a player does one of the following: Each piece is labelled with its rank, with 10 (Marshal) being the highest and the Spy being the lowest. Only the pieces shown below can move on the game board. Note: How you place your army at the beginning is important and can determine whether you win or lose. Every piece’s “S” side should face the opposing player, so only the commander of each army can see where his/her piece is placed.Only the two rows in the middle are unoccupied The players place their 30 pieces on the board, one piece per square in the first three rows in front of them (10 across by 3 deep).Place the blue side of the game board in front of the blue player, the red side in front of the red player.Select which player will command the Blue Army and which will command the Red Army.You command your army and win if you are the first to capture your opponent’s flag. ![]()
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