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Questions › GATE › GATE 2025 › Q58
2 marksMicroeconomics › General equilibrium and exchange economies › Edgeworth box and the contract curveHardabout 3 min

GATE 2025 Question 58: General equilibrium and exchange economies

Consider a two-person exchange economy where two goods, xxx and yyy are available in limited quantities of 50 and 100, respectively. The preferences of the two persons, Anil and Binod are given by the utility functions

UAnil(xAnil,yAnil)=xAnil0.4yAnil0.6U_{Anil}(x_{Anil}, y_{Anil}) = x_{Anil}^{0.4} y_{Anil}^{0.6}UAnil​(xAnil​,yAnil​)=xAnil0.4​yAnil0.6​ UBinod(xBinod,yBinod)=xBinod0.6yBinod0.4U_{Binod}(x_{Binod}, y_{Binod}) = x_{Binod}^{0.6} y_{Binod}^{0.4}UBinod​(xBinod​,yBinod​)=xBinod0.6​yBinod0.4​

If they decide to share good yyy equally among themselves, the amount of good xxx Anil receives is ______ (in integer)

Answer and worked solution

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Plain-text version

Consider a two-person exchange economy where two goods, x and y are available in limited quantities of 50 and 100, respectively. The preferences of the two persons, Anil and Binod are given by the utility functions U_(Anil)(x_(Anil), y_(Anil)) = x_(Anil)⁰·⁴ y_(Anil)⁰·⁶ U_(Binod)(x_(Binod), y_(Binod)) = x_(Binod)⁰·⁶ y_(Binod)⁰·⁴ If they decide to share good y equally among themselves, the amount of good x Anil receives is (in integer)

Also written as: Consider a two-person exchange economy where two goods, x and y are available in limited quantities of 50 and 100, respectively. The preferences of the two persons, Anil and Binod are given by the utility functions U_(Anil)(x_(Anil), y_(Anil)) = x_(Anil)^(0.4) y_(Anil)^(0.6) U_(Binod)(x_(Binod), y_(Binod)) = x_(Binod)^(0.6) y_(Binod)^(0.4) If they decide to share good y equally among themselves, the amount of good x Anil receives is (in integer)

General equilibrium and exchange economies has come up 69 times in 7 exams since 2004.

What this question tests

This question is on Edgeworth box and the contract curve, part of General equilibrium and exchange economies in Microeconomics.

The geometry of trade between two consumers and the set of efficient allocations.

TestStop has 9 past-paper questions on this subtopic; the nearest in year are below.

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