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Question: Donna and Josh are married, and their utility possibility frontier is given by xty = 12, where x and y, respectively, denote the utility levels that Sarah and Josh attain in their married state. Their respective outside options generate a utility of X=0 for Donna and Y=4 for Josh.
a. Describe (with the help of a diagram) the nature of the Nash bargaining solution, where both Donna and Josh influence the outcome.
b. Find the Nash Bargaining Solution. (Hint: this is a constrained maximization problem where we want to maximize the nash product subject to the utility possibility frontier. You can approach this using the same methods we would use to maximize utility subject to a budget constraint)
c. Now assume Donna's outside option increases to X=4. Find the Nash Bargaining Solution.
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