• Combinatorial game theory measures game complexity in several ways: State-space complexity (the number of legal game positions from the initial position) Game tree...
    37 KB (2,837 words) - 00:34, 31 May 2025
  • Complexity Gaming, formerly stylized as compLexity, is an American esports franchise headquartered in Frisco, Texas. The franchise was founded in 2003...
    35 KB (3,143 words) - 03:38, 5 May 2025
  • Complexity characterizes the behavior of a system or model whose components interact in multiple ways and follow local rules, leading to non-linearity...
    38 KB (4,498 words) - 15:27, 19 June 2025
  • Jin Lim (2007). The game is a draw. Chess Fully solving chess remains elusive, and it is speculated that the complexity of the game may preclude it ever...
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  • Thumbnail for Combinatorial game theory
    analysis of game complexity and the existence of optimal strategies through methods like the strategy-stealing argument. Combinatorial game theory arose...
    24 KB (3,205 words) - 21:00, 29 May 2025
  • Computational complexity theory Game complexity, in combinatorial game theory Integer complexity, in number theory Language complexity, the notion that a component...
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  • Hex. A related field of study, drawing from computational complexity theory, is game complexity, which is concerned with estimating the computational difficulty...
    138 KB (15,387 words) - 10:44, 6 June 2025
  • Thumbnail for Game tree
    A game tree can be used to measure the complexity of a game, as it represents all the possible ways that the game can pan out. Due to the large game trees...
    10 KB (1,288 words) - 00:24, 24 May 2025
  • Thumbnail for Go (game)
    to be considered at each stage of the game (game-tree complexity) can be estimated with bd, where b is the game's breadth (number of legal moves per position)...
    137 KB (16,260 words) - 02:12, 15 June 2025
  • 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...
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  • the job of the game designer became separate from the lead programmer. Soon, game complexity demanded team members focused on game design. A number...
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  • Zero-sum game is a mathematical representation in game theory and economic theory of a situation that involves two competing entities, where the result...
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  • Thumbnail for Abstract strategy game
    checkers has a game-tree complexity of 1040 possible games, whereas chess has approximately 10123. As for Go, the possible legal game positions range...
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  • of various mechanics determines the game's complexity and how the players interact with the game. All games use game mechanics; however, different theories...
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  • In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource...
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  • Thumbnail for Generalized game
    In computational complexity theory, a generalized game is a game or puzzle that has been generalized so that it can be played on a board or grid of any...
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  • play-by-mail game (also known as a PBM game, PBEM game, turn-based game, turn based distance game, or an interactive strategy game.) is a game played through...
    71 KB (8,450 words) - 18:27, 8 May 2025
  • Thumbnail for Chopsticks (hand game)
    (sometimes called Splits, Calculator, or just Sticks)[citation needed] is a hand game for two or more players, in which players extend a number of fingers from...
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  • In game theory, a move, action, or play is any one of the options which a player can choose in a setting where the optimal outcome depends not only on...
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  • Thumbnail for Shannon number
    Shannon number (category Combinatorial game theory)
    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...
    6 KB (626 words) - 10:31, 17 January 2025
  • Games, Puzzles, and Computation (category Computational complexity theory)
    Games, Puzzles, and Computation is a book on game complexity, written by Robert Hearn and Erik Demaine, and published in 2009 by A K Peters. It is revised...
    5 KB (548 words) - 19:34, 25 August 2024
  • In game theory, a Bayesian game is a strategic decision-making model which assumes players have incomplete information. Players may hold private information...
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  • Thumbnail for Paradox of tolerance
    sum First-player and second-player win Game complexity Game tree Impartial game Misère Partisan game Solved game Sprague–Grundy theorem Strategy-stealing...
    25 KB (2,902 words) - 14:22, 19 June 2025
  • psychology and economics, the dictator game is a popular experimental instrument a derivative of the ultimatum game. It involves a single decision by the...
    38 KB (4,749 words) - 14:10, 8 June 2025
  • science, PPAD ("Polynomial Parity Arguments on Directed graphs") is a complexity class introduced by Christos Papadimitriou in 1994. PPAD is a subclass...
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  • rates the complexity of CNA, on a scale of 1–10, as 10+. The complete campaign game takes 100 turns, each turn representing one week of game time. A number...
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  • Parsimonious reduction (category Reduction (complexity))
    In computational complexity theory and game complexity, a parsimonious reduction is a transformation from one problem to another (a reduction) that preserves...
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  • Thumbnail for Go and mathematics
    moves, with an average of about 250 choices per move, suggesting a game-tree complexity of 10360. For the number of theoretically possible games, including...
    18 KB (1,727 words) - 02:46, 18 December 2024
  • in the theory of algebraic complexity: VP vs. VNP problem. Like P vs. NP, the answer is currently unknown. Game complexity List of unsolved problems in...
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  • The prisoner's dilemma is a game theory thought experiment involving two rational agents, each of whom can either cooperate for mutual benefit or betray...
    74 KB (9,524 words) - 04:21, 5 June 2025