Consider an exchange economy with two consumers, A and B, and two commodities x and y. The utility functions and endowments as follows: UA(x, x) = (xA)²YA, WA = (90,0), UB(x, x) = xB (YB)², WB = (0,90). [Subscripts refer to consumers]. Compute the competitive equilibrium and the locus of Pareto efficient allocations for this economy and sketch them in an Edgeworth box.

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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Consider an exchange economy with two consumers, A and B, and two
commodities x and y. The utility functions and endowments as follows:
UA(x, x) = (xA)²YA,
WA = (90,0),
UB(x, x) = xB (YB)²,
WB = (0,90).
[Subscripts refer to consumers].
Compute the competitive equilibrium and the locus of Pareto efficient
allocations for this economy and sketch them in an Edgeworth box.
Transcribed Image Text:Consider an exchange economy with two consumers, A and B, and two commodities x and y. The utility functions and endowments as follows: UA(x, x) = (xA)²YA, WA = (90,0), UB(x, x) = xB (YB)², WB = (0,90). [Subscripts refer to consumers]. Compute the competitive equilibrium and the locus of Pareto efficient allocations for this economy and sketch them in an Edgeworth box.
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