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Anonymous, non-manipulable, binary social choice

Published 3 Jul 2020 in econ.TH | (2007.01552v1)

Abstract: Let V be a finite society whose members express weak orderings (hence also indifference, possibly) about two alternatives. We show a simple representation formula that is valid for all, and only, anonymous, non-manipulable, binary social choice functions on V . The number of such functions is $2{n+1}$ if V contains $n$ agents.

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