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Could you draw best response curves to solve this problem? Father of Alice and Bob has $10. The father is a game theorist and wants

Could you draw best response curves to solve this problem?

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Father of Alice and Bob has $10. The father is a game theorist and wants to teach them how to share. The father is willing to let Alice and Bob have the $10. but only according to the following procedure: Alice and Bob are each to submit a written request as to their share of the 510 without seeing the other's request. Let a E [0, 10] denote the amount that Alice requests for herself and b E [0, 10] be the amount that Bob requests for himself. If the aggregate amount a + b is less than or equal to 10. then the two receive what they requested. and the remainderI 10 a b, is split equally between them. If, however, they are too selfish and hence the aggregate amount (1+ b > 10. then they get nothing, and the father keeps the $10. Alice and Bob are the players in this game [Father is not a player, he is just a mediator). Assume that each of Alice and Bob has a payoff equal to the amount of money that he or she receives. Find all pure strategy Nash equilibria. [You can draw bt response curves if you nd them useful.]

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