https://m2.mtmt.hu/ hun 2026-07-27 10:59 JournalArticle 36919082 VALIDATED true 0 false 2026-06-01T13:59:54.705+0000 2026-06-01T13:35:41.770+0000 2026-02-03T13:32:14.968+0000 true 10060893 Csordás Dániel /api/admin/10060893 Admin true 10060893 2026-06-01T13:35:35.869+0000 2026-06-01T13:35:35.869+0000 2026-06-01T13:35:41.946+0000 true 10088017 Szatmári Erika /api/admin/10088017 Admin true true false true 24 24 /api/publicationtype/24 PublicationType 1 true 24 JournalArticle true 10000059 Article true 24 24 /api/publicationtype/24 PublicationType 1 true 24 JournalArticle /api/subtype/10000059 Szakcikk SubType 101 true 10000059 true 1 /api/category/1 Category true 1 Kóczy, László Á. One Man, One Vote, One Price true true /api/journal/10907 REVIEWED true false 10907 false 10907 true 0254-5330 1572-9338 Journal FOREIGN 361 727 750 727 24 2026 Introduced initially to allocate parliamentary seats among states or provinces, apportionment methods can distribute any discrete scarce resource based on a series of claims or budgets such as the states’ voting populations. Here, we focus on the price of representation: how one can turn the claims, such as the number of voters, into a share of the resource, such as parliamentary seats. The D’Hondt method naturally emerges as a competitive equilibrium. We show that the class of parametric divisor methods is fully characterised by a competitive equilibrium augmented by a uniform credit or debt with respect to the original claims. Based on the insight gained from the competitive equilibrium representation, we provide an alternative proof of majorization: divisor methods with smaller parameters favour players with smaller budgets and vice versa . While in a competitive equilibrium, all pay the same price, when the budget allows for the purchase of a few items, leftovers may constitute a substantial part of the original budget. In other words, not all are equally efficient at converting their budgets into items. Optimisation apportionment methods, such as the Leximin, assign individual prices; hence, each budget is fully spent, and focus on minimising price differences. We demonstrate how the D’Hondt and Adams methods can be formulated as optimisation methods and highlight their connection to the Leximin method. 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László true 10001392 true Kóczy László Á. true false false AuthorshipType 1 /api/authorshiptype/1 0 true 0 true false true PersonAuthorship 133515401 /api/authorship/133515401 2 0.5 false true true Author 10022404 /api/author/10022404 Sziklai Balázs true 10022404 true Sziklai Balázs R. true false false AuthorshipType 1 /api/authorshiptype/1 0 true 0 true false true PublicationIdentifier 31343092 /api/publicationidentifier/31343092 PlainSource 6 /api/publicationsource/6 PublicationSourceType 10001 /api/publicationsourcetype/10001 true true true DOI DOI https://doi.org/@@@ true true 6 true GOLD true IDENTICAL 10.1007/s10479-026-07068-2 https://doi.org/10.1007/s10479-026-07068-2 false true PublicationIdentifier 31410383 /api/publicationidentifier/31410383 PlainSource 1 /api/publicationsource/1 PublicationSourceType 10003 /api/publicationsourcetype/10003 false true true WoS WoS https://www.webofscience.com/wos/woscc/full-record/@@@ true true 1 true IDENTICAL 001678416000001 https://www.webofscience.com/wos/woscc/full-record/001678416000001 false true PublicationIdentifier 31801634 /api/publicationidentifier/31801634 SwordSource 94 /api/publicationsource/94 PublicationSourceType 10007 /api/publicationsourcetype/10007 true true true CorvinusKutatasok http://unipub.lib.uni-corvinus.hu/@@@ true true 94 true GREEN true IDENTICAL 12695 http://unipub.lib.uni-corvinus.hu/12695 false true PublicationIdentifier 31469876 /api/publicationidentifier/31469876 PlainSource 3 /api/publicationsource/3 PublicationSourceType 10003 /api/publicationsourcetype/10003 false true true Scopus Scopus http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-@@@ true true 3 true IDENTICAL 105029263313 http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105029263313 false true MtaRating 508076 /api/mtarating/508076 RatingType 10012 /api/ratingtype/10012 GMB Institute 19066 /api/institute/19066 0 false true false Gazdaságtudományi Doktori Minősítő Bizottság Committee on Economics true 19066 true true true B nemzetközi true 8076 true SjrRating 11680687 /api/sjrrating/11680687 15 0.24 journal RatingType 10002 /api/ratingtype/10002 sjr true true ClassificationExternal 1801 /api/classificationexternal/1801 true 1801 true Q1 FROM_LAST_YEAR true true /api/publication/36919082 <div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" mtid="10001392"><a href="/gui2/?type=authors&mode=browse&sel=10001392" target="_blank">Kóczy László Á. (<span class="authorship-author-name">Kóczy Á. László</span> <span class="authorAux-mtmt"> játékelmélet</span>) </a> </span> <span class="author-affil"><span title="Eötvös Loránd Tudományegyetem">ELTE</span>/<span title="Közgazdaság- és Regionális Tudományi Kutatóközpont">KRTK</span>/Közgazdaságtudományi Kutatóintézet; <span title="Budapesti Műszaki és Gazdaságtudományi Egyetem">BME</span>/<span title="Gazdaság- és Társadalomtudományi Kar">GTK</span>/Pénzügyek Tanszék</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10022404"><a href="/gui2/?type=authors&mode=browse&sel=10022404" target="_blank">Sziklai Balázs R. ✉ (<span class="authorship-author-name">Sziklai Balázs</span> <span class="authorAux-mtmt"> Játékelmélet</span>) </a> </span> <span class="author-affil"><span title="Eötvös Loránd Tudományegyetem">ELTE</span>/<span title="Közgazdaság- és Regionális Tudományi Kutatóközpont">KRTK</span>/Közgazdaságtudományi Kutatóintézet; <span title="Budapesti Corvinus Egyetem">BCE</span>/<span title="Operáció és Döntés Intézet">ODI</span>/Operációkutatás és Aktuáriustudományok Tanszék</span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;36919082" target="_blank">One Man, One Vote, One Price</a></div> <div> <span class="journal-title">ANNALS OF OPERATIONS RESEARCH</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/0254-5330">0254-5330</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1572-9338">1572-9338</a>)</span>: <span class="journal-volume">361</span> <span class="page"> pp 727-750 </span> <span class="year">(2026)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Nyelv: Angol | </span> <span class="identifiers"> <span class="id identifier oa_GOLD" title=" Gold "> <a style="color:blue" title="10.1007/s10479-026-07068-2" target="_blank" href="https://doi.org/10.1007/s10479-026-07068-2"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="001678416000001" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/001678416000001"> WoS </a> </span> <span class="id identifier oa_GREEN" title=" Green "> <a style="color:blue" title="12695" target="_blank" href="http://unipub.lib.uni-corvinus.hu/12695"> CorvinusKutatasok </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="105029263313" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105029263313"> Scopus </a> </span> </span> <OnlyViewableByAuthor><div class="ratings"> <div class="journal-subject">Folyóirat szakterülete: Scopus - Decision Sciences (miscellaneous)&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;Q1</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Management Science and Operations Research&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;Q1</div> <div class="journal-subject">Gazdaságtudományi Doktori Minősítő Bizottság IXGJO GMB [1901-]&nbsp;&nbsp;&nbsp;B nemzetközi</div> </div></OnlyViewableByAuthor> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;36919082&sort=publishedYear,desc&sort=title"> Idézett közlemények száma: 3 </a> </div> <div class="mtid"><span class="long-pub-mtid">Közlemény: 36919082</span> | <span class="status-data status-VALIDATED"> Egyeztetett </span> Forrás Idéző | <span class="type-subtype">Folyóiratcikk ( Szakcikk ) </span> | <span class="pub-category">Tudományos</span> | <span class="publication-sourceOfData">WOS TAGGED</span> </div> <div class="funder"> (K 146320) Támogató: NKFIH </div> <div class="notDuplums"><a target="_blank" href="/api/publication/36919082/notduplums">1 Nem duplumnak jelölés</a> </div> <div class="lastModified">Utolsó módosítás: 2026.06.01. 15:35 Szatmári Erika (BME admin4) </div> </div></div>