Get Math Help

GET TUTORING NEAR ME!

(800) 434-2582

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

    Home / Get Math Help

    Zero-sum Game

    Some notable zero-sum games

    Blotto | cake cutting | dictator game | rock, paper, scissors | tic-tac-toe

    Illustration

    Illustration Tic-tac-toe

    Statements

    Two players simultaneously distribute limited resources over multiple battlefields, with the player who spends the most resources on a given battlefield winning that battle.

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

    The first player (the

    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

    History

    | formulation date | formulators | additional people involved Blotto | 1921 (103 years ago) | Émile Borel | R. Harrison Wagner

    Common classes

    zero-sum

    Back to List | POWERED BY THE WOLFRAM LANGUAGE