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01-01-2015 | Issue 1/2015

Social Choice and Welfare 1/2015

Bounded response and the equivalence of nonmanipulability and independence of irrelevant alternatives

Journal:
Social Choice and Welfare > Issue 1/2015
Author:
Shin Sato
Important notes
I am grateful to the Associate Editor, anonymous reviewers, Arunava Sen, William Thomson, and participants at GCOE International Conference on Equality and Welfare 2013 at Hitotsubashi and Mathematical Economics Seminar at Keio for helpful comments. This work is supported by JSPS KAKENHI 25780142.

Abstract

A social welfare function satisfies Bounded Response if the smallest change in the variable (i.e., preference profile) leads to the smallest change, if any, in the value (i.e., social preference). We show that each social welfare function on each connected domain satisfies Bounded Response and a nonmanipulability condition if and only if it satisfies a monotonicity condition and independence of irrelevant alternatives. Moreover, under Bounded Response, we show the equivalence of various notions of nonmanipulability of social welfare functions.

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