Suppose there are 3 agents i E(1, 2, 3) with preferences over 3 objects j e(a, b, c) as follows: 1:cba 2:bca 3:bac Consider the random allocation given by the following probability shares: Agent Good a bc1 0.5 0 0.5 2 0.25 0.5 0.25 3 0.25 0.5 0.25 Is this allocation ordinally efficient? Is it ex-ante weakly envy-free? Be sure to explain how you arrived at your answer.
Suppose there are 3 agents i E(1, 2, 3) with preferences over 3 objects j e(a, b, c) as follows: 1:cba 2:bca 3:bac Consider the random allocation given by the following probability shares: Agent Good a bc1 0.5 0 0.5 2 0.25 0.5 0.25 3 0.25 0.5 0.25 Is this allocation ordinally efficient? Is it ex-ante weakly envy-free? Be sure to explain how you arrived at your answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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![Suppose there are 3 agents i e(1, 2, 3} with preferences over 3 objects j Ela, b, c} as
follows: 1:cba 2:bca 3:bac Consider the random allocation given by the
following probability shares: Agent Good a bc10.50 0.5 2 0.25 0.5 0.25 3 0.25 0.5
0.25 Is this allocation ordinally efficient? Is it ex-ante weakly envy-free? Be sure to
explain how you arrived at your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F676b3620-b1ba-4538-a805-117107e38340%2Fc283b1c3-fbcb-44c5-a051-5d1198a10910%2F3kogi8g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose there are 3 agents i e(1, 2, 3} with preferences over 3 objects j Ela, b, c} as
follows: 1:cba 2:bca 3:bac Consider the random allocation given by the
following probability shares: Agent Good a bc10.50 0.5 2 0.25 0.5 0.25 3 0.25 0.5
0.25 Is this allocation ordinally efficient? Is it ex-ante weakly envy-free? Be sure to
explain how you arrived at your answer.
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