Consider the modification of the old card game introduced in assignment 1 between 2 players: Jim (player 1) and Kelly (player 2) Jim is dealt two cards: 09 and 9. Kelly is also dealt two cards: 6 and 4 . Now, Jim will play first and Kelly will play second (obviously). The payoff of Jim is 1 points if he plays a card of opposite color (red/black) than Kelly, and otherwise his payoff is 7 points. The payoff of Kelly is 5 points if the difference of the already played card numbers is greater than 6, otherwise her payoff is 8 points.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the modification of the old card game
introduced in assignment 1 between 2 players:
Jim (player 1) and Kelly (player 2)
Jim is dealt two cards : 09 and 9. Kelly is
also dealt two cards: 06 and 4 . Now, Jim
will play first and Kelly will play second
(obviously).
The payoff of Jim is 1 points if he plays a card
of opposite color (red/black) than Kelly, and
otherwise his payoff is 7 points.
The payoff of Kelly is 5 points if the difference
of the already played card numbers is greater
than 6, otherwise her payoff is 8 points.
Transcribed Image Text:Consider the modification of the old card game introduced in assignment 1 between 2 players: Jim (player 1) and Kelly (player 2) Jim is dealt two cards : 09 and 9. Kelly is also dealt two cards: 06 and 4 . Now, Jim will play first and Kelly will play second (obviously). The payoff of Jim is 1 points if he plays a card of opposite color (red/black) than Kelly, and otherwise his payoff is 7 points. The payoff of Kelly is 5 points if the difference of the already played card numbers is greater than 6, otherwise her payoff is 8 points.
2. Convert the given extensive form
game into an induced normal
form. [6]
Transcribed Image Text:2. Convert the given extensive form game into an induced normal form. [6]
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