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Your Roommate Wants You to Be Happy, but Not Too

Question 37

Essay

Your roommate wants you to be happy, but not too happy, which would make your roommate jealous. If you have 0 utils, your roommate feels bad for you and has 0 utils. For the 1st 6 utils you gain, your roommate gains 1 util for every 2 that you gain. After that, more utils for you make your roommate resentful and less happy. Your roommate losses 1 util for every 2 utils you gain beyond 6. Draw a utility distribution curve by plotting the relationships described above. Label the points representing the Rawlsian, utilitarian, and egalitarian solutions "R," "U," and "E," respectively. The dotted 45-degree line and numbers are provided as guides that you might find useful. Your roommate wants you to be happy, but not too happy, which would make your roommate jealous. If you have 0 utils, your roommate feels bad for you and has 0 utils. For the 1<sup>st</sup> 6 utils you gain, your roommate gains 1 util for every 2 that you gain. After that, more utils for you make your roommate resentful and less happy. Your roommate losses 1 util for every 2 utils you gain beyond 6. Draw a utility distribution curve by plotting the relationships described above. Label the points representing the Rawlsian, utilitarian, and egalitarian solutions  R,   U,  and  E,  respectively. The dotted 45-degree line and numbers are provided as guides that you might find useful.

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