Functional Form of Nonmanipulable Social Choice Functions with Two Alternatives

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...

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Autores principales:	Anna De Simone, Ciro Tarantino
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	social choice functions group strategy-proofness indifference universal domain functional form characterization Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/dd185fcb1bd943989fb372f6285cd691
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spelling	oai:doaj.org-article:dd185fcb1bd943989fb372f6285cd6912021-11-11T18:21:14ZFunctional Form of Nonmanipulable Social Choice Functions with Two Alternatives10.3390/math92128272227-7390https://doaj.org/article/dd185fcb1bd943989fb372f6285cd6912021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2827https://doaj.org/toc/2227-7390We 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.Anna De SimoneCiro TarantinoMDPI AGarticlesocial choice functionsgroup strategy-proofnessindifferenceuniversal domainfunctional form characterizationMathematicsQA1-939ENMathematics, Vol 9, Iss 2827, p 2827 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	social choice functions group strategy-proofness indifference universal domain functional form characterization Mathematics QA1-939
spellingShingle	social choice functions group strategy-proofness indifference universal domain functional form characterization Mathematics QA1-939 Anna De Simone Ciro Tarantino Functional Form of Nonmanipulable Social Choice Functions with Two Alternatives
description	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.
format	article
author	Anna De Simone Ciro Tarantino
author_facet	Anna De Simone Ciro Tarantino
author_sort	Anna De Simone
title	Functional Form of Nonmanipulable Social Choice Functions with Two Alternatives
title_short	Functional Form of Nonmanipulable Social Choice Functions with Two Alternatives
title_full	Functional Form of Nonmanipulable Social Choice Functions with Two Alternatives
title_fullStr	Functional Form of Nonmanipulable Social Choice Functions with Two Alternatives
title_full_unstemmed	Functional Form of Nonmanipulable Social Choice Functions with Two Alternatives
title_sort	functional form of nonmanipulable social choice functions with two alternatives
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/dd185fcb1bd943989fb372f6285cd691
work_keys_str_mv	AT annadesimone functionalformofnonmanipulablesocialchoicefunctionswithtwoalternatives AT cirotarantino functionalformofnonmanipulablesocialchoicefunctionswithtwoalternatives
_version_	1718431914714464256

Functional Form of Nonmanipulable Social Choice Functions with Two Alternatives

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