A Quest for Fundamental Theorems of Social Choice

17 Pages Posted: 30 Oct 2012 Last revised: 23 Sep 2014

See all articles by Ning Neil Yu

Ning Neil Yu

Nanjing Audit University - Institute for Social and Economic Research

Date Written: October 28, 2012

Abstract

We explore the frontier between possibility and impossibility results by analyzing different combinations of "pro-socialness" and "consistency" conditions. This exercise delivers stronger versions of four classical impossibility theorems, and offers a thorough understanding of connections among them. We also characterize social choice functions that are "independent of irrelevant alternatives," which makes evident that the fundamental difficulty of social choice lies in "pairwise" consistency requirements. We also introduce a concise pedagogical approach to classical impossibility theorems.

Keywords: Social choice and welfare, Arrow's impossibility theorem, Hansson-Denicol\`o theorem, Muller-Satterthwaite theorem, Gibbard-Satterthwaite theorem

JEL Classification: D7, D70, D71

Suggested Citation

Yu, Ning Neil, A Quest for Fundamental Theorems of Social Choice (October 28, 2012). Available at SSRN: https://ssrn.com/abstract=2168117 or http://dx.doi.org/10.2139/ssrn.2168117

Ning Neil Yu (Contact Author)

Nanjing Audit University - Institute for Social and Economic Research ( email )

Stanford, CA 94305
United States

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