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Game complexity information


Combinatorial game theory measures game complexity in several ways:

  1. State-space complexity (the number of legal game positions from the initial position),
  2. Game tree size (total number of possible games),
  3. Decision complexity (number of leaf nodes in the smallest decision tree for initial position),
  4. Game-tree complexity (number of leaf nodes in the smallest full-width decision tree for initial position),
  5. Computational complexity (asymptotic difficulty of a game as it grows arbitrarily large).

These measures involve understanding game positions, possible outcomes, and computation required for various game scenarios.

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Game complexity

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

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more emphasis on descriptive theoretical results (such as measures of game complexity or proofs of optimal solution existence without necessarily specifying...

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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. Many early...

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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...

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Shannon number

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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...

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Game tree

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such a game. Such games include well-known ones such as chess, checkers, Go, and tic-tac-toe. This can be used to measure the complexity of a game, as it...

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Abstract strategy game

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

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Time complexity

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the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly...

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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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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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murders of mathematicians who were attempting to solve P versus NP. Game complexity List of unsolved problems in mathematics Unique games conjecture Unsolved...

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of various game mechanics in a game determines the complexity and level of player interaction in the game, and in conjunction with the game's environment...

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Complex system

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and Complexity", exploring the diversity of problem types by contrasting problems of simplicity, disorganized complexity, and organized complexity. Weaver...

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Sequential game

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trees can vary according to game complexity, ranging from the small game tree of tic-tac-toe, to an immensely complex game tree of chess so large that...

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Go and mathematics

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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...

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Monty Hall problem

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form of a probability puzzle, based nominally on the American television game show Let's Make a Deal and named after its original host, Monty Hall. The...

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Combination Combinatorial game theory Effective hand strength algorithm Event (probability theory) Game complexity Gaming mathematics Odds Permutation...

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Reckful

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3rd–4th Place 2013 Innkeeper's Invitational Miesner, Andrew. "Complexity Gaming". Complexity Gaming. Archived from the original on June 27, 2012. Retrieved...

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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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sociology, social complexity is a conceptual framework used in the analysis of society. In the sciences, contemporary definitions of complexity are found in...

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