A Note on A. D. Taylor's Property of Independence of Irrelevant Alternatives for Voting Rules. (December 2017) - Lahiri, Somdeb
Abstract: In a widely used textbook on mathematics and politics, Taylor introduced an interesting property of social choice procedures, which we call 'Taylor's Independence of Irrelevant Alternatives (TIIA)'. Taylor proved a result showing that every voting procedure belonging to a certain class of voting procedures violates TIIA. The purpose of this note is to supplement Taylor's result by showing that a large number of voting rules, which do not belong to the class of voting procedures figuring in Taylor's result, also violate TIIA.