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From Arrow’s Theorem to ‘Dark Matter’

Published online by Cambridge University Press:  21 July 2015

Donald G. Saari
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Abstract

Arrow’s Impossibility Theorem and Sen’s Minimal Liberalism example impose ‘impossibility’ roadblocks on progress. A reinterpretation explained in this article exposes what causes these negative conclusions, which permits the development of positive resolutions that retain the spirit of Arrow’s and Sen’s assumptions. What precipitates difficulties is surprisingly common, and it affects most disciplines. This insight identifies how to analyze other puzzles such as conflicting laws or controversies over voting rules. An unexpected bonus is that this social science issue defines a research agenda to address the ‘dark matter’ mystery confronting astronomers.

Type
Featured Article
Information
British Journal of Political Science , Volume 46 , Supplement 1 , January 2016 , pp. 1 - 9
Copyright
© Cambridge University Press 2015 

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Footnotes

*

University of California, Irvine (email: [email protected]). The author thanks the four referees for their thoughtful comments and suggestions, and also G. Hazelrigg, K. Meyer, and M. Salles for their comments and continued interest in this project. The research was supported by an NSF grant. Online appendices are available at http://dx.doi.org/doi: 10.1017/S000712341500023X

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