Answered: 1. Find the action sets of each player…

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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Transcribed Image Text:Consider a new card game between 2 players: Darryl (player 1) and Phyllis (player 2) Darryl is dealt two cards : 06 and 45 . Phyllis is also dealt two cards: 03 and 9 . Now, each of the players will play 1 card both at the same time. The payoff of Darryl is 1 points if he plays a card of opposite color (red/black) than Phyllis, and otherwise his payoff is 6 points. The payoff of Phyllis is 9 points if the difference of the already played card numbers is greater than 5, otherwise her payoff is 1 points. 1. Find the action sets of each player and the action profile of the game. 2. Represent the game in the Normal form. 3. Find the Best Responses for Darryl. 4. Find the Best Responses for Phyllis. 5. Find all the Nash Equilibriums of the game (if any).

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