The Accompanying Payoff Matrix Depicts the Possible Outcomes for Two

question 10

Multiple Choice

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.

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Definitions:

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