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Questions tagged [social-choice-function]

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Can you prove a social choice function satisfies non-dictatorship using an example?

My question is whether using an example is enough to show that a social choice function satisfies the non-dictatorship property. There are 3 alternatives ($a,b,c$) and 5 individuals ($1,2,3,4,5$). ...
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Does a social preference relation with unrestricted domain have to necessarily be complete?

I understand that the social preference relation need not be an ordering. But is it also not necessary that it be complete? I have read conflicting viewpoints on this. We haven't been taught what the ...
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From the original position, is the Nash axiomatic bargaining solution as the social contract more egalitarian than Utilitarianism?

Let us with Hobbs suppose that life in a state of nature, without agreement on basic social values (“Murder is bad”), without benefit of our common heritage of knowledge and technology, without, in ...