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    Fair Game

    Some notable fair games

    cake cutting | checkers | rock, paper, scissors | tic-tac-toe

    Illustration

    Illustration Tic-tac-toe

    Statements

    N players divide a resource sequentially such that all recipients feel they have received a fair share.

    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 "crowned" by reaching the other side of the board, it may then move forward or backward. An opponent's piece may be captured by jumping over it, and the game is won by capturing all the opponent's pieces or by leaving the opponent with no legal moves.

    Two players count aloud to three (or speak the name of the game). After the third count, both players change their hands into any of three gestures representing rock, paper, or scissors. Each player seeks to choose a gesture that defeats the other according to the rules that rock breaks scissors, scissors cut paper, and paper covers rock. If both players choose the same gesture, the game is a tie.

    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.

    Models

     | rock | paper | scissors
rock | 0 | -1 | 1
paper | 1 | 0 | -1
scissors | -1 | 1 | 0

    Common classes

    fair

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