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Consider the case of instant runoff voting when three or more social choices are involved. Each voter has one vote and votes for his or her favorite option. The option with the least votes is eliminated, and the process continues until there are two choices and the one with the majority wins. Suppose we have five voters and three societal alternatives (A, B, C). Two of the voters rank the alternatives, from first choice to last choice, (A,B,C); two of the voters rank them (C,B,A); one voter ranks them (B,A,C). Show that the instant runoff method violates the independence of irrelevant alternatives axiom (A6).

Consider the case of instant runoff voting when three or more social choices are involved. Each voter has one vote and votes for his or her favorite option. The option with the least votes is eliminated, and the process continues until there are two choices and the one with the majority wins. Suppose we have five voters and three societal alternatives (A, B, C). Two of the voters rank the alternatives, from first choice to last choice, (A,B,C); two of the voters rank them (C,B,A); one voter ranks them (B,A,C). Show that the instant runoff method violates the independence of irrelevant alternatives axiom (A6).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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10. Consider the case of instant runoff voting when three or more social choices are involved. Each voter has one vote and votes for his or her favorite option. The option with the least votes is eliminated, and the process continues until there are two choices and the one with the majority wins. Suppose we have five voters and three societal alternatives (A, B, C). Two of the voters rank the alternatives, from first choice to last choice, (A,B,C); two of the voters rank them (C,B,A); one voter ranks them (B,A,C). Show that the instant runoff method violates the independence of irrelevant alternatives axiom (A6).
Transcribed Image Text:10. Consider the case of instant runoff voting when three or more social choices are involved. Each voter has one vote and votes for his or her favorite option. The option with the least votes is eliminated, and the process continues until there are two choices and the one with the majority wins. Suppose we have five voters and three societal alternatives (A, B, C). Two of the voters rank the alternatives, from first choice to last choice, (A,B,C); two of the voters rank them (C,B,A); one voter ranks them (B,A,C). Show that the instant runoff method violates the independence of irrelevant alternatives axiom (A6).
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