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.If Sideshow Bob chooses scissors and Crusty the Clown chooses paper,Sideshow Bob's payoff is __________ and Crusty the Clown's payoff is __________.

Question

Quizplus · Accepted Answer

Looking at the payoff matrix, we can see that choosing scissors gives a player the highest chance of winning, as it beats paper and ties with itself. Choosing rock and paper have the same chance of winning and losing, but scissors is the dominant strategy. Therefore, Sideshow Bob's best choice would be scissors, and Crusty the Clown's best choice would be paper.

As for the specific scenario given, if Sideshow Bob chooses scissors and Crusty the Clown chooses paper, Sideshow Bob's payoff is 1 and Crusty the Clown's payoff is -1, giving us answer choice E.

The Accompanying Payoff Matrix Depicts the Possible Outcomes for Two