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?

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 scissors.
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.

Question

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?

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 scissors. 
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.

Quizplus · Accepted Answer

A dominant strategy is one that yields the best possible outcome for a player regardless of the other player's choice. In this case, there is no dominant strategy for either Stewie or Peter since their payoffs depend on the other player's choice. The best strategy for each player depends on what they think the other player will do. For example, if Stewie thinks Peter will play scissors, then Stewie should play rock to win. However, if Stewie thinks Peter will play paper, then Stewie should play scissors to win. Therefore, neither player has a dominant strategy.

The Accompanying Payoff Matrix Depicts the Possible Outcomes for Two