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The following payoff matrix depicts the possible outcomes for two players involv

ID: 1117090 • Letter: T

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. If Marcus chooses scissors and Gilian chooses paper, Marcus's payoff is and Gillian's payoff is Marcus OC Paper Scissors Rock 0,0 Gillian Paper 0,0 1,1 SCIssors 1,1 1,-1 0,0 Choose one: A. 0:0 o C. 1:0 O E. 2:0 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 O (zero), the players tie. Edward's optimal strategy is to Meg Rock Paper Scissors Rock Paper Scissors 0,0 Edward 0,0 1,1 1,-1 0,0 Choose one A. choose rock with probability 0.33, paper with probability 0.33, and scissors with probability 0.33 because neither he nor Meg has a dominant strategy B. always choose rock because Meg's dominant strategy is to choose paper O C. choose rock with probability 0.33, paper with probability 0.33, and scissors with probability 0.33 because Meg's dominant strategy is to choose paper D. always choose paper because Meg's dominant strategy is to choose rock. O E. choose rock with probability 0.75 and paper with probability 0.25 because Meg will choose paper with probability 0.50 and rock with probability 0.50.

Explanation / Answer

If Marcus chooses scissors and Gillian chooses paper, Marcus's payoff is 1 and Gillian's payoff is -1

Option D

Edward's optimal strategy is to choose Rock with probability 0.33, paper with probability 0.33, and scissors with probability 0.33, because neither Meg nor edward have dominant strategy.

Option A