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Question
The following 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?
| Grace | ||||
| Rock | Paper | Scissors | ||
| Will | Rock | 0, 0 | -1, 1 | 1, -1 |
| Paper | 1, -1 | 0, 0 | -1, 1 | |
| Scissors | -1, 1 | 1, -1 | 0, 0 | |
a. Wills dominant strategy is to play rock, and Graces dominant strategy is to play rock.
b. Wills dominant strategy is to play paper, and Graces dominant strategy is to play rock.
c. Wills dominant strategy is to play rock, and Graces dominant strategy is to play paper.
d. Wills dominant strategy is to play scissors, and Grace does not have a dominant strategy.
e. Neither Will nor Grace has a dominant strategy.
Answer
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