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Quasi-decisiveness, quasi-ultrafilter, and social quasi-orderings

  • Susumu Cato

    ()

The aim of the present paper is to provide an axiomatic analysis of incomplete social judgments. In particular, we clarify the underlying power structure of Arrovian collective choice rules when social preferences are allowed to be incomplete. We propose the concept of quasi-decisiveness and investigate the properties of the collection of quasi-decisive sets associated with an Arrovian collective choice rule. In the course of this, we offer a series of applications. Copyright Springer-Verlag 2013

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File URL: http://hdl.handle.net/10.1007/s00355-012-0677-z
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Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 41 (2013)
Issue (Month): 1 (June)
Pages: 169-202

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Handle: RePEc:spr:sochwe:v:41:y:2013:i:1:p:169-202
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