Functional Form of Nonmanipulable Social Choice Functions with Two Alternatives

Anna De Simone and Ciro Tarantino
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Anna De Simone: Dipartimento di Matematica e Applicazioni R. Caccioppoli, Università Federico II di Napoli (ITALY), 80126 Napoli, Italy
Ciro Tarantino: Dipartimento di Scienze Economiche e Statistiche, Università Federico II di Napoli (ITALY), 80126 Napoli, Italy

Mathematics, 2021, vol. 9, issue 21, 1-14

Abstract: We propose a new functional form characterization of binary nonmanipulable social choice functions on a universal domain and an arbitrary, possibly infinite, set of agents. In order to achieve this, we considered the more general case of two-valued social choice functions and describe the structure of the family consisting of groups of agents having no power to determine the values of a nonmanipulable social choice function. With the help of such a structure, we introduce a class of functions that we call powerless revealing social choice functions and show that the binary nonmanipulable social choice functions are the powerless revealing ones.

Keywords: social choice functions; group strategy-proofness; indifference; universal domain; functional form characterization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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