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Questions › DSE › DSE 2011 › Q45
2 marksMicroeconomics › Welfare economics and social choice › Pareto efficiency and Pareto improvementsHardabout 4 min

DSE 2011 Question 45: Welfare economics and social choice

Consider an exchange economy with two agents, 1 and 2, and two goods, XXX and YYY. There are 6 units of XXX and 4 units of YYY available. An allocation is (x1,y1),(x2,y2)(x_{1},y_{1}),(x_{2},y_{2})(x1​,y1​),(x2​,y2​) with x1+x2=6x_{1}+x_{2}=6x1​+x2​=6 and y1+y2=4y_{1}+y_{2}=4y1​+y2​=4. Agent 1 has utility u1=min⁡{x1,y1}u_{1}=\min\{x_{1},y_{1}\}u1​=min{x1​,y1​} and agent 2 has u2=min⁡{x2,y2}u_{2}=\min\{x_{2},y_{2}\}u2​=min{x2​,y2​}. Which of the following allocations is not Pareto efficient?

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Plain-text version

Consider an exchange economy with two agents, 1 and 2, and two goods, X and Y. There are 6 units of X and 4 units of Y available. An allocation is (x₁,y₁),(x₂,y₂) with x₁+x₂=6 and y₁+y₂=4. Agent 1 has utility u₁=min {x₁,y₁} and agent 2 has u₂=min {x₂,y₂}. Which of the following allocations is not Pareto efficient? (A) (2,2),(4,2) (B) (3,2),(3,2) (C) (3,1),(3,3) (D) (1,2),(5,2)

Also written as: Consider an exchange economy with two agents, 1 and 2, and two goods, X and Y. There are 6 units of X and 4 units of Y available. An allocation is (x_1,y_1),(x_2,y_2) with x_1+x_2=6 and y_1+y_2=4. Agent 1 has utility u_1=min {x_1,y_1} and agent 2 has u_2=min {x_2,y_2}. Which of the following allocations is not Pareto efficient?

Welfare economics and social choice has come up 62 times in 6 exams since 2004.

What this question tests

This question is on Pareto efficiency and Pareto improvements, part of Welfare economics and social choice in Microeconomics.

What it means for an allocation to be efficient, checked in exchange economies and other settings.

TestStop has 40 past-paper questions on this subtopic.

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