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 Stan chooses scissors and Kyle chooses rock,Stan's payoff is __________ and Kyle's payoff is __________.

Question

Quizplus · Accepted Answer

According to the matrix, if Stan chooses scissors and Kyle chooses rock, Stan's payoff is -1 and Kyle's payoff is 1. To maximize his payoff, Stan should choose rock (payoff of 0) and Kyle should choose scissors (payoff of -1). This results in Kyle losing and Stan tying with himself, which gives him a better outcome than losing. Therefore, the optimal choice for both players is to switch their choices, resulting in Stan receiving a payoff of -1 and Kyle receiving a payoff of 1.

The Accompanying Payoff Matrix Depicts the Possible Outcomes for Two