Consider a sequential-move version of a rock-paper-scissor game. Players sequentially form one of three shapes with an outstretched hand. These shapes are "rock", "paper", and "scissors". A player playing rock will beat another player playing chosen scissors, but will lose to one playing paper; a play of paper will lose to a play of scissors. If both players choose the same shape, the game is tied. Suppose the winner receives a payoff of 1 and the loser receives the payoff of -1. Both players receive zero payoff under a tie. Suppose Player 1 moves first and Player 2 moves afterwards. In this game, what is the subgame perfect Nash equilibrium payoff of Player 1? 1
Consider a sequential-move version of a rock-paper-scissor game. Players sequentially form one of three shapes with an outstretched hand. These shapes are "rock", "paper", and "scissors". A player playing rock will beat another player playing chosen scissors, but will lose to one playing paper; a play of paper will lose to a play of scissors. If both players choose the same shape, the game is tied. Suppose the winner receives a payoff of 1 and the loser receives the payoff of -1. Both players receive zero payoff under a tie. Suppose Player 1 moves first and Player 2 moves afterwards. In this game, what is the subgame perfect Nash equilibrium payoff of Player 1? 1
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![Consider a sequential-move version of a rock-paper-scissor game. Players sequentially
form one of three shapes with an outstretched hand. These shapes are "rock", "paper", and
"scissors". A player playing rock will beat another player playing chosen scissors, but will
lose to one playing paper; a play of paper will lose to a play of scissors. If both players
choose the same shape, the game is tied. Suppose the winner receives a payoff of 1 and
the loser receives the payoff of -1. Both players receive zero payoff under a tie. Suppose
Player 1 moves first and Player 2 moves afterwards. In this game, what is the subgame
perfect Nash equilibrium payoff of Player 1?
1
00
0-1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1c72ad4-0cde-43c6-b851-0d539c78ca72%2Fc1395145-2c1e-4249-8aaa-8b63f127b776%2F86otnl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a sequential-move version of a rock-paper-scissor game. Players sequentially
form one of three shapes with an outstretched hand. These shapes are "rock", "paper", and
"scissors". A player playing rock will beat another player playing chosen scissors, but will
lose to one playing paper; a play of paper will lose to a play of scissors. If both players
choose the same shape, the game is tied. Suppose the winner receives a payoff of 1 and
the loser receives the payoff of -1. Both players receive zero payoff under a tie. Suppose
Player 1 moves first and Player 2 moves afterwards. In this game, what is the subgame
perfect Nash equilibrium payoff of Player 1?
1
00
0-1
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