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What's the marginal utility to B of X?
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Well, it equals 2 thirds times 1 over 6 fifths,
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which is 5 sixths, which is 10 over 18,
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which is 5 over 9.
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So these two numbers are different.
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The marginal utility to B is bigger than the margin
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utility--of X--is bigger than the margin utility to A of X.
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So clearly the final equilibrium allocation doesn't
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maximize the sum of utilities.
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By switching some goods from A to B you could make both people
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better off clarification: you could increase the sum of
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both peoples' utilities, though one person would end up .