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• W210108495 abstract "We construct an algebraic model of the social choice theory. First we give an arithmetic proof of Arrow’s Impossibility Theorem. Next we apply our algebraic method to single-peaked preference domain to establish two theorems. (i) A value of Arrovian social welfare function on single peaked preference domain is single-plateaued with at most two maximal elements. (ii) An ordering by majority voting is identical with that by Arrovian social welfare function under the assumptions Anonymity and Covariancy (weaker version of May’s Neutrality)." @default.
• W210108495 created "2016-06-24" @default.
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• W210108495 date "2006-01-01" @default.
• W210108495 modified "2023-09-26" @default.
• W210108495 title "Arithmetic Social Choice: Arrow's Theorem and Single Peaked Preference" @default.
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