context of combinatorial game theory, a game tree is a graph representing all possible game states within a sequential game that has perfect information...

game theory measures game complexity in several ways: State-space complexity (the number of legal game positions from the initial position) Game tree...

software that plays board games. In that context MCTS is used to solve the game tree. MCTS was combined with neural networks in 2016 and has been used in multiple...

two-person game with a finite number of positions, one can always trivially construct a minimax algorithm that would exhaustively traverse the game tree. However...

game tree from the current position by applying all possible moves and use breadth-first search to find a winning position for White. Implicit trees (such...

area. In the context of combinatorial game theory, the structure of such games is typically modeled using a game tree. The field also encompasses single-player...

bottom of the tree. The extensive form can be viewed as a multi-player generalization of a decision tree. To solve any extensive form game, backward induction...

In computer science, tree traversal (also known as tree search and walking the tree) is a form of graph traversal and refers to the process of visiting...

expectiminimax tree is the game tree of an extensive-form game of perfect, but incomplete information. In the traditional minimax method, the levels of the tree alternate...

chess variants have been solved at least weakly. Calculated estimates of game-tree complexity and state-space complexity of chess exist which provide a bird's...

words, it is the "best" or "correct" line of play. In the context of tree-searching game artificial intelligence – in which this term is most common – it...

38) × 1044 with a 95% confidence level, with a game-tree complexity of approximately 10123. The game-tree complexity of chess was first calculated by Claude...

analyzed using Boolean logic Game tree, a tree diagram used to find and analyze potential moves in a game Language tree, representation of a group of...

game tree complexity) on this space. If played optimally by both players, the game always ends in a draw, making tic-tac-toe a futile game. The game can...

explicitly. Extensions of ID also find their use in game theory as an alternative representation of the game tree. An ID is a directed acyclic graph with three...

left. Since the game tree of Ghost can be derived from the list of combinations of letters that are considered to be words, the game (as played by two...

American mathematician Claude Shannon, is a conservative lower bound of the game-tree complexity of chess of 10120, based on an average of about 103 possibilities...

algorithm can be thought of as exploring the nodes of a game tree. The effective branching factor of the tree is the average number of children of each node (i...

traversing a game tree in a best-first fashion similar to that of the A* search algorithm. SSS* is based on the notion of solution trees. Informally,...

the larger game board instead of simply focusing on the smaller boards. Visualizing the game tree: Visualizing future branches of the game tree is more difficult...

previously seen positions, and associated evaluations, in a game tree generated by a computer game playing program. If a position recurs via a different sequence...

introductory textbooks, initially define the extensive-form game as being just a game tree with payoffs (no imperfect or incomplete information), and add...

options, but may also, depending on the computer game, close off the paths to other options. The tech tree is the representation of all possible paths of...

game of chicken, also known as the hawk-dove game or snowdrift game, is a model of conflict for two players in game theory. The principle of the game...

(6×6×6 Rubik's Cube). Chess: Shannon number, 10120, a lower bound of the game-tree complexity of chess. Physics: 10120, discrepancy between the observed...

Wigderson in 1986. A game tree can represent many two-player zero-sum games, such as chess, checkers, and reversi. Each node in the tree represents a possible...

variation, the sequence of moves in a game tree currently believed to represent best play; see Variation (game tree) Cauchy principal value, a method for...

a 1992 Christian video game developed by Wisdom Tree for the Nintendo Entertainment System, it was later ported to MS-DOS, Game Boy, and Sega Genesis,...

World Tree is an anthropomorphic fantasy role-playing game designed by Bard Bloom and Victoria Borah Bloom and published by Padwolf Publishing in 2001...

defending moves. For solving game trees with proof-number search family of algorithms, game trees are to be mapped to and–or trees. MAX-nodes (i.e. maximizing...