<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-05074827</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-02T04:19:15+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Is the preference of the majority representative ?</title>
            <title xml:lang="fr">La préférence de la majorité est-elle représentative ?</title>
            <author role="aut">
              <persName>
                <forename type="first">Mihir</forename>
                <surname>Bhattacharya</surname>
              </persName>
              <email type="md5">81f01181520e6c095dab487e728e8693</email>
              <email type="domain">ashoka.edu.in</email>
              <idno type="idhal" notation="numeric">1543278</idno>
              <idno type="halauthorid" notation="string">1159401-1543278</idno>
              <affiliation ref="#struct-534737"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Nicolas</forename>
                <surname>Gravel</surname>
              </persName>
              <email type="md5">6c90661a94b758494829a05d8fd9c8f7</email>
              <email type="domain">univ-amu.fr</email>
              <idno type="idhal" notation="string">nicolas-gravel</idno>
              <idno type="idhal" notation="numeric">959209</idno>
              <idno type="halauthorid" notation="string">319199-959209</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-1032-6085</idno>
              <affiliation ref="#struct-198056"/>
              <affiliation ref="#struct-526949"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Nicolas</forename>
                <surname>Gravel</surname>
              </persName>
              <email type="md5">6c90661a94b758494829a05d8fd9c8f7</email>
              <email type="domain">univ-amu.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2025-05-20 14:10:21</date>
              <date type="whenModified">2025-05-21 03:12:53</date>
              <date type="whenReleased">2025-05-20 15:24:12</date>
              <date type="whenProduced">2021-04-20</date>
              <date type="whenEndEmbargoed">2025-05-20</date>
              <ref type="file" target="https://hal.science/hal-05074827v1/document">
                <date notBefore="2025-05-20"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-05074827v1/file/majorityrepresentmssr2real.pdf" id="file-5074827-4391675">
                <date notBefore="2025-05-20"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="401605">
                <persName>
                  <forename>Nicolas</forename>
                  <surname>Gravel</surname>
                </persName>
                <email type="md5">6c90661a94b758494829a05d8fd9c8f7</email>
                <email type="domain">univ-amu.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-05074827</idno>
            <idno type="halUri">https://hal.science/hal-05074827</idno>
            <idno type="halBibtex">bhattacharya:hal-05074827</idno>
            <idno type="halRefHtml">&lt;i&gt;Mathematical Social Sciences&lt;/i&gt;, 2021, 114 (1), pp.87 - 94</idno>
            <idno type="halRef">Mathematical Social Sciences, 2021, 114 (1), pp.87 - 94</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-5074827-4391675"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="SHS">Sciences de l'Homme et de la Société</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-AMU">Aix Marseille Université</idno>
            <idno type="stamp" n="EHESS">Ecole des Hautes Etudes en Sciences Sociales</idno>
            <idno type="stamp" n="EC-MARSEILLE">Ecole Centrale de Marseille</idno>
            <idno type="stamp" n="AMSE">Aix Marseille School of Economics</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Is the preference of the majority representative ?</title>
                <title xml:lang="fr">La préférence de la majorité est-elle représentative ?</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Mihir</forename>
                    <surname>Bhattacharya</surname>
                  </persName>
                  <email type="md5">81f01181520e6c095dab487e728e8693</email>
                  <email type="domain">ashoka.edu.in</email>
                  <idno type="idhal" notation="numeric">1543278</idno>
                  <idno type="halauthorid" notation="string">1159401-1543278</idno>
                  <affiliation ref="#struct-534737"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Nicolas</forename>
                    <surname>Gravel</surname>
                  </persName>
                  <email type="md5">6c90661a94b758494829a05d8fd9c8f7</email>
                  <email type="domain">univ-amu.fr</email>
                  <idno type="idhal" notation="string">nicolas-gravel</idno>
                  <idno type="idhal" notation="numeric">959209</idno>
                  <idno type="halauthorid" notation="string">319199-959209</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-1032-6085</idno>
                  <affiliation ref="#struct-198056"/>
                  <affiliation ref="#struct-526949"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">16930</idno>
                <idno type="issn">0165-4896</idno>
                <title level="j">Mathematical Social Sciences</title>
                <imprint>
                  <publisher>Elsevier</publisher>
                  <biblScope unit="volume">114</biblScope>
                  <biblScope unit="issue">1</biblScope>
                  <biblScope unit="pp">87 - 94</biblScope>
                  <date type="datePub">2021-04-20</date>
                </imprint>
              </monogr>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Majority</term>
                <term xml:lang="en">Distance</term>
                <term xml:lang="en">Binary Relation</term>
                <term xml:lang="en">Aggregation</term>
              </keywords>
              <classCode scheme="halDomain" n="qfin">Quantitative Finance [q-fin]</classCode>
              <classCode scheme="halDomain" n="shs">Humanities and Social Sciences</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>We show that a majoritarian relation is, among all conceivable binary relations, the most representative of the profile of preferences from which it emanates. We define ''the most representative'' to mean that it minimizes the sum of distances between itself and the preferences in the profile for a given distance function. We identify a necessary and sufficient condition for such a distance to always be minimized by a majoritarian relation. This condition requires the distance to be additive with respect to a plausible notion of compromise between preferences. The well-known Kemeny distance does satisfy this property, along with many others. All distances that satisfy this property can be written as a sum of strictly positive weights assigned to the ordered pairs of alternatives by which any two preferences differ.</p>
            </abstract>
            <abstract xml:lang="fr">
              <p>Nous montrons qu'une relation majoritaire est, parmi toutes les relations binaires concevables, la plus représentative du profil de préférences dont elle émane. Nous définissons « la plus représentative » comme signifiant qu'elle minimise la somme des distances entre elle et les préférences du profil pour une fonction de distance donnée. Nous identifions une condition nécessaire et suffisante pour qu'une telle distance soit toujours minimisée par une relation majoritaire. Cette condition exige que la distance soit additive par rapport à une notion plausible de compromis entre préférences. La célèbre distance de Kemeny satisfait cette propriété, ainsi que bien d'autres. Toutes les distances qui satisfont cette propriété peuvent s'écrire comme la somme des poids strictement positifs attribués aux paires ordonnées d'alternatives par lesquelles deux préférences quelconques diffèrent.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="institution" xml:id="struct-534737" status="VALID">
          <orgName>Ashoka University</orgName>
          <desc>
            <address>
              <addrLine>Ashoka University, Rajiv Gandhi Education City, Sonipat, Haryana 131029, Inde</addrLine>
              <country key="IN"/>
            </address>
            <ref type="url">https://www.ashoka.edu.in/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-198056" status="VALID">
          <idno type="IdRef">15863621X</idno>
          <idno type="ISNI">0000 0001 2176 4817</idno>
          <idno type="ROR">https://ror.org/035xkbk20</idno>
          <orgName>Aix Marseille Université</orgName>
          <orgName type="acronym">AMU</orgName>
          <date type="start">2012-01-01</date>
          <desc>
            <address>
              <addrLine>Aix-Marseille UniversitéJardins du Pharo58 Boulevard Charles Livon13284 Marseille cedex 7</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-amu.fr/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-526949" status="VALID">
          <idno type="RNSR">201220324U</idno>
          <idno type="ROR">02ek9wp67</idno>
          <orgName>Aix-Marseille Sciences Economiques</orgName>
          <orgName type="acronym">AMSE</orgName>
          <date type="start">2018-01-01</date>
          <desc>
            <address>
              <addrLine>5-9 Boulevard BourdetCS 5049813205 Marseille Cedex 1</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://amse-feg.univ-amu.fr/fr</ref>
          </desc>
          <listRelation>
            <relation name="UMR7316" active="#struct-99539" type="direct"/>
            <relation name="UMR7316" active="#struct-198056" type="direct"/>
            <relation name="UMR7316" active="#struct-300415" type="direct"/>
            <relation name="UMR7316" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-99539" status="VALID">
          <idno type="IdRef">026374889</idno>
          <idno type="ROR">https://ror.org/02d9dg697</idno>
          <orgName>École des hautes études en sciences sociales</orgName>
          <orgName type="acronym">EHESS</orgName>
          <date type="start">1975-01-01</date>
          <desc>
            <address>
              <addrLine>54, boulevard Raspail 75006 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ehess.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300415" status="VALID">
          <idno type="ISNI">0000 0004 1762 2703</idno>
          <idno type="ROR">https://ror.org/040baw385</idno>
          <orgName>École Centrale de Marseille</orgName>
          <orgName type="acronym">ECM</orgName>
          <date type="start">2006-09-27</date>
          <desc>
            <address>
              <addrLine>Pôle de l'étoile - Technopole de Château-Gombert - 38 rue Frédéric Joliot-Curie - 13013 Marseille</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.centrale-marseille.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>