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Two-good exchange economy

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In a two-person, two-good exchange economy, assume that uA(xA; yA) = xAyA and that uB(xB; yB) = xByB and that the total resources are x and y. Depict the set of Pareto allocations in the Edgeworth box. Then show that if = there are exactly two allocations that maximize the social welfare function W(xA; yA; xB; yB) = uA(xA; yA) + uB(xB; yB). Use this result, along with the corresponding result for 6= , to establish that this example is indeed a counterexample to the converse of the above theorem.

Reference no: EM131803334

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