Consider the following two-player game where each player is given a set of cards and each card has a number on it. The players are Adi (Player 1) and Bani (Player 2). Adi’s cards have the following numbers (one number on each card): 2, 4 and 6, whereas Bani’s cards are marked 0, 1 and 2. Adi chooses one of her own cards and Bani chooses one of his own cards: this is done without knowing the other player’s choice. The outcome depends on the sum of the points of the chosen cards. If the sum of the points on the two chosen cards is greater than or equal to 5, Adi gets 10 minus that sum; otherwise (that is, if the sum is less than 5) she gets nothing; furthermore, if the sum of points is an odd number, Bina gets the sum; if the sum of points turns out to be an even number and is less than or equal to 6, Bina gets 2; otherwise she gets nothing. (a). Represent the corresponding game using a table. (b). Find the Nash equilibria of the above game.
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Consider the following two-player game where each player is given a set of cards and each card has a number on it. The players are Adi (Player 1) and Bani (Player 2). Adi’s cards have the following numbers (one number on each card): 2, 4 and 6, whereas Bani’s cards are marked 0, 1 and 2. Adi chooses one of her own cards and Bani chooses one of his own cards: this is done without knowing the other player’s choice. The outcome depends on the sum of the points of the chosen cards. If the sum of the points on the two chosen cards is greater than or equal to 5, Adi gets 10 minus that sum; otherwise (that is, if the sum is less than 5) she gets nothing; furthermore, if the sum of points is an odd number, Bina gets the sum; if the sum of points turns out to be an even number and is less than or equal to 6, Bina gets 2; otherwise she gets nothing.
(a). Represent the corresponding game using a table.
(b). Find the Nash equilibria of the above game.
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