Janken Step Game
A variant of Rock Paper Scissors
The Janken step game is a variant of Rock Paper Scissors where the winner climbs up a staircase and the loser stays behind. The game is a zero-sum game and can be solved using the minimax theorem.
- The game is a zero-sum game
- The minimax theorem can be used to find the optimal mixed strategy
- The game has a unique equilibrium mixture of strategies
- Define the gameDefine the game and the payoffs for each player.Pro tipMake sure to define the game and payoffs clearly.WarningIncorrect definition of the game can lead to incorrect results.
- Find the equilibrium mixture of strategiesFind the equilibrium mixture of strategies using the minimax theorem.Pro tipUse the minimax theorem to find the optimal mixed strategy.WarningIncorrect calculation of the equilibrium mixture of strategies can lead to incorrect results.
Janken step game
The Janken step game is a variant of Rock Paper Scissors where the winner climbs up a staircase and the loser stays behind.
OutcomeThe minimax theorem can be used to find the optimal mixed strategy for the Janken step game.
Incorrect definition of the game
Incorrect definition of the game can lead to incorrect results.
Incorrect calculation of the equilibrium mixture of strategies
Incorrect calculation of the equilibrium mixture of strategies can lead to incorrect results.
The Janken step game is a variant of Rock Paper Scissors and is commonly played in Japan.
Source · BOOK
The Art of Strategy: A Game Theorist's Guide to Success in Business and Life