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You and your best friend have a craving for bubble tea and have agreed to share...

You and your best friend have a craving for bubble tea and have agreed to share one. If each has a straw and each knows that the other is self-interested, will the rate at which you two consume the bubble tea be optimal? Why?
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Answer #1

Yes. The rate at which the two friends will consume will be optimal. Consider that one of the friend say defined A consumes as a rate faster than the friend B. Now of the friend A starts to consume at a rate less than that of B, then B would be better off but friend A,she will be worse off because she would get lesser share. There exist no other situation where one person can be made better off without hurting the other person. Thus there will be no tendency for her to deviate and the rate is optimal.

Likewise for the other friend.

Given that they are self interested, the rates will be optimal.

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