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Consider the following two sets of individuals, their individual rankings and their group preference rankings: 1: individual 1 rankings : x, y, z, w, individual 2 rankings: y,z,w,x, and individual 3 rankins: z,w,x,y the groups preferences: x>Gy, z>Gx, w>Gx, y>Gw, y>Gz and z>Gw 2: individual 1 preferences: y,z,x,w, individual 2 prefereces: y, w,x,z, and individual 3 preferences: y,w,z,x the group's preferences: y>Gx, y>Gw, z>Gy, x>Gw, z>Gx, and z>Gw Question: Which of Arrow's conditions (P, D, I, or Transitivity) is violated by their group preferences? (hint: checking I requires comparing the outcomes in the two different groups to find a violation)

Consider the following two sets of individuals, their individual rankings and their group preference rankings: 1: individual 1 rankings : x, y, z, w, individual 2 rankings: y,z,w,x, and individual 3 rankins: z,w,x,y the groups preferences: x>Gy, z>Gx, w>Gx, y>Gw, y>Gz and z>Gw 2: individual 1 preferences: y,z,x,w, individual 2 prefereces: y, w,x,z, and individual 3 preferences: y,w,z,x the group's preferences: y>Gx, y>Gw, z>Gy, x>Gw, z>Gx, and z>Gw Question: Which of Arrow's conditions (P, D, I, or Transitivity) is violated by their group preferences? (hint: checking I requires comparing the outcomes in the two different groups to find a violation)

ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Consider the following two sets of individuals, their individual rankings and their group preference rankings:

1: individual 1 rankings : x, y, z, w,

individual 2 rankings: y,z,w,x,

and individual 3 rankins: z,w,x,y

the groups preferences:

x>Gy, z>Gx, w>Gx, y>Gw, y>Gz and z>Gw

2: individual 1 preferences: y,z,x,w,

individual 2 prefereces: y, w,x,z,

and individual 3 preferences: y,w,z,x

the group's preferences:

y>Gx, y>Gw, z>Gy, x>Gw, z>Gx, and z>Gw

Question: Which of Arrow's conditions (P, D, I, or Transitivity) is violated by their group preferences? (hint: checking I requires comparing the outcomes in the two different groups to find a violation).

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