Jim is dealt two cards : ~4 and 46 Pam is also dealt two cards: 05 and 67. Now, Jim will play first and Pam will play se

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Jim Is Dealt Two Cards 4 And 46 Pam Is Also Dealt Two Cards 05 And 67 Now Jim Will Play First And Pam Will Play Se 1 (33.83 KiB) Viewed 71 times

Jim is dealt two cards : ~4 and 46 Pam is also dealt two cards: 05 and 67. Now, Jim will play first and Pam will play second (obviously). The payoff of Jim is 7 points if he plays a card of opposite color (red/black) than Pam, and otherwise his payoff is 1 points. The payoff of Pam is 1 points if the difference of the already played card numbers is smaller than 5, otherwise her payoff is 9 points. 1. Build up the game tree for this extensive form game. Mark the decision nodes as h1, h2, etc. and find N, A, H, Z, p and X: [10] 2. Convert the given extensive form game into an induced normal form. [6] 3. Is it possible for Jim to play a card which will be always better than playing the other card? Write your own opinion.[7] 4. Is it possible for Pam to play a card which will be always better than playing the other card? Write your own opinion. [7]