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A quest for fundamental theorems of social choice

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  • Ning Yu

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. Copyright Springer-Verlag Berlin Heidelberg 2015

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  • Ning Yu, 2015. "A quest for fundamental theorems of social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 533-548, March.
    • Handle: RePEc:spr:sochwe:v:44:y:2015:i:3:p:533-548
    DOI: 10.1007/s00355-014-0846-3
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