The Accompanying Payoff Matrix Depicts the Possible Outcomes for Two

The accompanying payoff matrix depicts the possible outcomes for two players involved in a game of Rock, Paper, Scissors. If a player receives a payoff of 1, the player wins; if the player receives a payoff of ?1, the player loses; if both players receive 0 (zero) , the players tie. Which of the following statements is true? $\begin{array}{lccc} &&&\text { Peter }\\&& \text { Rock } & \text { Paper } & \text { Scissor } \\\text { Stewie }&\text { Rock } & 0,0 & -1,1 & 1,-1 \\&\text { Paper } & 1,-1 & 0,0 & -1,1 \\&\text { Scissors } & -1,1 & 1 .-1 & 0,0\end{array}$

A) Stewie's dominant strategy is to play rock, and Peter's dominant strategy is to play rock.
B) Stewie's dominant strategy is to play paper, and Peter's dominant strategy is to play rock.
C) Stewie's dominant strategy is to play rock, and Peter's dominant strategy is to play paper.
D) Stewie's dominant strategy is to play scissors, and Peter does not have a dominant strategy.
E) Neither Stewie nor Peter has a dominant strategy.