1. Suppose there are three candidates A. B and C and three voters 1, 2 and...
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1. Suppose there are three candidates A. B and C and three voters 1, 2 and 3. The voters preferences on the candidates are listed below. Voter 1: A > B>C Voter 2: B > C > A Voter 3: C > A > B The winner is determined by majority voting rule. For instance, between A and B, two voters prefer A to B, thus A will win. We say A is preferred to B according to the collective preference. a. Check if the collective preference satisfies transitivity axiom. b. Suppose the election is conducted in two stages. Two candidates compete in the first stage and the winner competes with the third one in the second stage. Check if this arrangement satisfies IIA. 1. Suppose there are three candidates A. B and C and three voters 1, 2 and 3. The voters preferences on the candidates are listed below. Voter 1: A > B>C Voter 2: B > C > A Voter 3: C > A > B The winner is determined by majority voting rule. For instance, between A and B, two voters prefer A to B, thus A will win. We say A is preferred to B according to the collective preference. a. Check if the collective preference satisfies transitivity axiom. b. Suppose the election is conducted in two stages. Two candidates compete in the first stage and the winner competes with the third one in the second stage. Check if this arrangement satisfies IIA.
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a The collective preference satisfies transitivity axiom b T... View the full answer
Related Book For
Statistics Unlocking the Power of Data
ISBN: 978-1118583104
1st edition
Authors: Robin H. Lock, Patti Frazer Lock, Kari Lock Morgan, Eric F. Lock, Dennis F. Lock
Posted Date:
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