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    Finite Game

    Some notable finite games

    checkers | nim | tic-tac-toe

    Illustrations

    Illustrations Nim

    Illustrations Tic-tac-toe

    Statements

    Two players start on opposite sides of an 8 × 8 board, each with twelve pieces of a fixed color on the starting side. Initially, all pieces may move and capture only in a forward diagonal direction (as viewed by the player making the move), but if a piece is

    Given one or more piles (

    Two players alternately place pieces (typically X's for the first player and O's for the second) on a 3 × 3 board. The first player to get three matching symbols in a row (vertically, horizontally, or diagonally) is the winner. If all squares are occupied but neither player has three symbols in a row, the game is a tie.

    Common classes

    finite | perfect information | sequential | two-player

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