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 "proposer") determines and takes an allocation of some amount, while the second player (the "receiver") receives the remainder.

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

Common classes

zero-sum

Why Club Z!?

We're Awesome!

Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate

We're Awesome!

Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu.