Question:

Consider a 2-agent, 2-good economy with an aggregate endowment of 30 units of good 𝑋 and 10 units of good π‘Œ. Agent 𝑖 has utility function
ui (xi , yi ) = max {xi , yi }, 𝑖 = 1, 2. 
Select the choices below in which the specified allocation of the goods to the agents is Pareto optimal for this economy

Updated On: Oct 1, 2024
  • (π‘₯1, 𝑦1, π‘₯2, 𝑦2 ) = (5, 5, 25, 5)
  • (π‘₯1, 𝑦1, π‘₯2, 𝑦2 ) = (10, 10, 20, 0)
  • (π‘₯1, 𝑦1, π‘₯2, 𝑦2 ) = (30, 0, 0, 10)
  • (π‘₯1, 𝑦1, π‘₯2, 𝑦2 ) = (0, 10, 30, 0)
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The Correct Option is C, D

Solution and Explanation

The correct options is (C): (π‘₯1, 𝑦1, π‘₯2, 𝑦2 ) = (30, 0, 0, 10) and (D): (π‘₯1, 𝑦1, π‘₯2, 𝑦2 ) = (0, 10, 30, 0)
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