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These tournaments, widely used in handball and other sports, are shown to be incentive incompatible in the sense that a team can be strictly better off by not exerting full effort in a game. Historical examples are presented when a team was ex ante disinterested in winning by a high margin. We propose a family of incentive compatible designs. Their main characteristics are compared to the original format via simulations. Carrying over half of the points scored in the previous round turns out to be a promising policy.<\/jats:p>","DOI":"10.1007\/s00291-022-00671-2","type":"journal-article","created":{"date-parts":[[2022,3,17]],"date-time":"2022-03-17T19:04:55Z","timestamp":1647543895000},"page":"683-707","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["How to design a multi-stage tournament when some results are carried over?"],"prefix":"10.1007","volume":"44","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8705-5036","authenticated-orcid":false,"given":"L\u00e1szl\u00f3","family":"Csat\u00f3","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,3,17]]},"reference":[{"issue":"1\u20132","key":"671_CR1","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1007\/s10479-019-03261-8","volume":"286","author":"S Cea","year":"2020","unstructured":"Cea S, Dur\u00e1n G, Guajardo M, Saur\u00e9 D, Siebert J, Zamorano G (2020) An analytics approach to the FIFA ranking procedure and the World Cup final draw. 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