Consider the modification of the old card game introduced in assignment 1 between 2 players: Darryl (player 1) and Kelly (player 2)
Darryl is dealt two cards : ♡6 and ♠7. Kelly is also dealt two cards: ♢10 and ♣6. Now, Darryl will play first and Kelly will play second (obviously).
The payoff of Darryl is 6 points if he plays a card of opposite color (red/black) than Kelly, and otherwise his payoff is 6 points.
The payoff of Kelly is 2 points if the difference of the already played card numbers is greater than 4, otherwise her payoff is 6 points.
Build up the game tree for this extensive form game. Mark the decision nodes as h1, h2, etc. and find N, A, H, Z, ρ and χ. [10]
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The name of this game is CARDS
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