Rock, Paper, Scissors is a game in which two players simultaneously display one

ID: 1195461 • Letter: R

Question

Rock, Paper, Scissors is a game in which two players simultaneously display one of three hand symbols. The following table presents the payoffs.

Player 2

Rock Paper Scissors

Player 1 Rock 0, 0 -1, 1 1, -1

Paper 1, -1 0, 0 -1, 1

Scissors -1, 1 1, -1 0, 0

a. Both players have a dominant strategy.

b. None has a dominant strategy.

c. Player 1 has a dominant strategy while player 2 does not.

d. Player 2 has a dominant strategy while player 1 does not.

This matrix is skew-symmetric so the rock, paper, scissors game is a symmetrical one.

The diagonal elements of the matrix are zero. This is true of any skew-symmetric matrix, since aii = aii implies aii = 0 for all i.

Therefore b. none has a dominant strategy.

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