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According to order preservation (OP), if two players have the same pairwise ranking in two tournaments where the same players have played the same number of matches, then their pairwise ranking is not allowed to change in the aggregated tournament. We reveal that these two properties cannot be satisfied simultaneously on this universal domain. <\/jats:p>","DOI":"10.1142\/s0219198919400024","type":"journal-article","created":{"date-parts":[[2019,3,14]],"date-time":"2019-03-14T06:55:05Z","timestamp":1552546505000},"page":"1940002","source":"Crossref","is-referenced-by-count":13,"title":["Some Impossibilities of Ranking in Generalized Tournaments"],"prefix":"10.1142","volume":"21","author":[{"given":"L\u00e1szl\u00f3","family":"Csat\u00f3","sequence":"first","affiliation":[{"name":"Research Group of Operations Research and Decision Systems, Laboratory on Engineering and Management Intelligence, Institute for Computer Science and Control, Hungarian, Academy of Sciences, 1111 Budapest, Kende Street 13-17., Hungary"},{"name":"Department of Operations Research and Actuarial Sciences, Corvinus University of Budapest, 1093 Budapest, F\u0151v\u00e1m Square 13-15., Hungary"}]}],"member":"219","published-online":{"date-parts":[[2019,5,8]]},"reference":[{"key":"S0219198919400024BIB001","doi-asserted-by":"publisher","DOI":"10.1613\/jair.2306"},{"key":"S0219198919400024BIB002","doi-asserted-by":"publisher","DOI":"10.1086\/256963"},{"key":"S0219198919400024BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2013.12.028"},{"key":"S0219198919400024BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2016.08.043"},{"key":"S0219198919400024BIB005","doi-asserted-by":"publisher","DOI":"10.1080\/16184742.2014.884152"},{"key":"S0219198919400024BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/0377-2217(92)90333-5"},{"key":"S0219198919400024BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/0377-2217(92)90279-I"},{"key":"S0219198919400024BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2015.06.069"},{"key":"S0219198919400024BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-48773-6_8"},{"key":"S0219198919400024BIB010","doi-asserted-by":"publisher","DOI":"10.1023\/A:1018928301345"},{"key":"S0219198919400024BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/S0016-0032(98)00017-9"},{"issue":"1","key":"S0219198919400024BIB013","first-page":"152","volume":"38","author":"Csat\u00f3 L.","year":"2018","journal-title":"Econ. 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