Hyper-stable collective rankings

Jean Lainé

Mathematical Social Sciences, 2015, vol. 77, issue C, 70-80

Abstract: We introduce a new consistency property for social welfare functions (SWF), called hyper-stability. An SWF is hyper-stable if at any profile over finitely many alternatives where a weak order R is chosen, there exists a profile of linear orders over linear orders, called hyper-profile, at which only linearizations of R are ranked first by the SWF. Profiles induce hyper-profiles according to some minimal compatibility conditions. We provide sufficient conditions for hyper-stability, and we investigate hyper-stability for several Condorcet SWFs. An important conclusion is that there are non-dictatorial hyper-stable SWFs.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:77:y:2015:i:c:p:70-80

DOI: 10.1016/j.mathsocsci.2015.06.002

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