The Impartial, Anonymous, and Neutral Culture Model: A Probability Model for Sampling Public Preference Structures

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dc.contributor.authorGiritligil, Ayça Ebru
dc.date.accessioned2021-06-16T09:09:12Z
dc.date.available2021-06-16T09:09:12Z
dc.date.issued2013-10
dc.description.abstractWe introduce a new probability model, namely the Impartial, Anonymous, and Neutral Culture(IANC) Model, for sampling public preferences concerning a given set of alternatives. The IANC Model treats public preferences through a class of preference profiles named roots, where both names of the voters and the alternatives are immaterial. The general framework along with the theoretical formulation through group actions, an exact formula for the number of roots, and the description of a symbolic algebra package that allows for the generation of roots uniformly are presented. In order to be able to obtain uniform distribution of roots for large electorate size and high number of alternatives which lead to combinatorial explosions, the machinery we developed involves elements of symmetric functions and an application of the Dixon-Wilf algorithm. Using Monte Carlo methods, the model we develop allows for a testbed that can be used to answer various questions about the properties and behaviors of anonymous and neutral social choice rules for large parameters. As applications of the method, the results of two Monte Carlo experiments are presented: the likelihood of the existence of Condorcet winners and the probability of Condorcet and plurality rules to choose the same winner. © 2013 Copyright Taylor and Francis Group, LLC.en_US
dc.fullTextLevelFull Texten_US
dc.identifier.doi10.1080/0022250X.2011.597012
dc.identifier.issn1545-5882
dc.identifier.scopus2-s2.0-84884476819en_US
dc.identifier.urihttps://hdl.handle.net/11411/3787
dc.identifier.urihttps://doi.org/10.1080/0022250X.2011.597012
dc.identifier.wosWOS:000324458000002en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.issue4en_US
dc.language.isoenen_US
dc.nationalInternationalen_US
dc.numberofauthors2en_US
dc.pages203 - 222en_US
dc.relation.ispartofJournal of Mathematical Sociologyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectalgorithmsen_US
dc.subjectconsensusen_US
dc.subjectdiscrete choiceen_US
dc.subjectApproval Votingen_US
dc.subjectCondorcet; Scoring Rulesen_US
dc.titleThe Impartial, Anonymous, and Neutral Culture Model: A Probability Model for Sampling Public Preference Structures
dc.typeArticle
dc.volume37en_US

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