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The B.E. Journal of Theoretical Economics

Editor-in-Chief: Schipper, Burkhard

Ed. by Fong, Yuk-fai / Peeters, Ronald / Puzzello , Daniela / Rivas, Javier / Wenzelburger, Jan


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Hybrid Invariance and Oligarchic Structures

Susumu Cato
  • Corresponding author
  • Postdoctoral Fellow for Research Abroad of the Japan Society for the Promotion of Science, Institute of Social Science, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
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Published Online: 2017-11-16 | DOI: https://doi.org/10.1515/bejte-2016-0145

Abstract

This study addresses the problem of Arrovian preference aggregation. Social rationality plays a crucial role in the standard Arrovian framework. However, no assumptions on social rationality are imposed here. Social preferences are allowed to be any binary relation (possibly incomplete and intransitive). We introduce the axiom of hybrid invariance, which requires that if social preferences under two preference profiles make the same judgment, then a social preference under a “hybrid” of the two profiles must extend the original judgment in a certain way. Then, we characterize the structure of decisive coalitions under hybrid invariance.

Keywords: social choice; Arrow’s impossibility theorem; filter, hybrid invariance; Oligarchy

JEL Classification: D71

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About the article

Susumu Cato

Postdoctoral Fellow for Research Abroad of the Japan Society for the Promotion of Science


Published Online: 2017-11-16


Citation Information: The B.E. Journal of Theoretical Economics, Volume 18, Issue 1, 20160145, ISSN (Online) 1935-1704, DOI: https://doi.org/10.1515/bejte-2016-0145.

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