3) (20 points) Consider the following voting problem: There are four alternatives A,B,C,D and five voters with the following rankings: Voter 1 Voter 2 Voter 3 Voter 4 Voter 5 A B C A B B D B D D C A A C C D C D B A The order of voting is such that, first A competes against B, next the winner competes with C, and finally the survivor competes with D to determine the final winner. (At each step winner is determined by the majorly rule.) Voters 1 and 2 are strategic voters and voters 3,4, and 5 are sincere voters. Voter 1 and 2 mistakenly think that all voters are strategic voters. Find the outcome of this voting game. Clearly indicate the vote of each voter in the first two rounds of votes.

Principles of Microeconomics (MindTap Course List)
8th Edition
ISBN:9781305971493
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter22: Frontiers Of Microeconomics
Section22.2: Political Economy
Problem 2QQ
Question
3) (20 points) Consider the following voting problem: There are four alternatives A,B,C,D and five
voters with the following rankings:
Voter 1
Voter 2
Voter 3
Voter 4
Voter 5
A
B
C
A
B
B
D
B
D
D
C
A
A
C
C
D
C
D
B
A
The order of voting is such that, first A competes against B, next the winner competes with C,
and finally the survivor competes with D to determine the final winner. (At each step winner is
determined by the majorly rule.) Voters 1 and 2 are strategic voters and voters 3,4, and 5 are
sincere voters. Voter 1 and 2 mistakenly think that all voters are strategic voters. Find the
outcome of this voting game. Clearly indicate the vote of each voter in the first two rounds of
votes.
Transcribed Image Text:3) (20 points) Consider the following voting problem: There are four alternatives A,B,C,D and five voters with the following rankings: Voter 1 Voter 2 Voter 3 Voter 4 Voter 5 A B C A B B D B D D C A A C C D C D B A The order of voting is such that, first A competes against B, next the winner competes with C, and finally the survivor competes with D to determine the final winner. (At each step winner is determined by the majorly rule.) Voters 1 and 2 are strategic voters and voters 3,4, and 5 are sincere voters. Voter 1 and 2 mistakenly think that all voters are strategic voters. Find the outcome of this voting game. Clearly indicate the vote of each voter in the first two rounds of votes.
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