Anonymous, non-manipulable binary social choice

Achille Basile (), Surekha Rao () and K.P.S. Bhaskara Rao

Games and Economic Behavior, 2022, vol. 133, issue C, 138-149

Abstract: Let V be a society whose members express weak preferences about two alternatives. We show simple representation formulae that are valid for all, and only, the elements of various classes of non-manipulable social choice functions on V. We represent the entire class of the non-manipulable social choice functions, and various of its subclasses corresponding to further properties. We focus mainly on anonymity. Efficiency and neutrality up to one voter are also considered. As a consequence of the representation formulae, the cardinalities of some of these classes are also established. Notably, we show that the number of anonymous and non-manipulable social choice functions on V is 2n+1 if V contains n members.

Keywords: Social choice functions; Non-manipulability; Anonymity; Veto; Quota majority; Weak preferences (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Working Paper: Anonymous, non-manipulable, binary social choice (2020)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:133:y:2022:i:c:p:138-149

DOI: 10.1016/j.geb.2022.02.007

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