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Consider the following 2 player, zero-sum game. The row and column player each have 3 cards labelled 1, 2, and 3. Both players select a card, and then they simul- taneously reveal their selected cards. The player with the highest numbered card wins. The loser pays the winner an amount equal to the number on the winner's card. If the number on both players' cards is the same, neither player wins or loses anything. Give the payoff matrix for this game (from the perspective of the row player) and identify any Nash equilibria that the game has.

Consider the following 2 player, zero-sum game. The row and column player each have 3 cards labelled 1, 2, and 3. Both players select a card, and then they simul- taneously reveal their selected cards. The player with the highest numbered card wins. The loser pays the winner an amount equal to the number on the winner's card. If the number on both players' cards is the same, neither player wins or loses anything. Give the payoff matrix for this game (from the perspective of the row player) and identify any Nash equilibria that the game has.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Consider the following 2 player, zero-sum game. The row and column player each have 3 cards labelled 1, 2, and 3. Both players select a card, and then they simul- taneously reveal their selected cards. The player with the highest numbered card wins. The loser pays the winner an amount equal to the number on the winner's card. If the number on both players' cards is the same, neither player wins or loses anything. Give the payoff matrix for this game (from the perspective of the row player) and identify any Nash equilibria that the game has.
Transcribed Image Text:1. Consider the following 2 player, zero-sum game. The row and column player each have 3 cards labelled 1, 2, and 3. Both players select a card, and then they simul- taneously reveal their selected cards. The player with the highest numbered card wins. The loser pays the winner an amount equal to the number on the winner's card. If the number on both players' cards is the same, neither player wins or loses anything. Give the payoff matrix for this game (from the perspective of the row player) and identify any Nash equilibria that the game has.
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