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Roberts (Rev Econ Stud 47(2):421\u2013439, 1980) claimed that the induced welfare ordering on social states has a one-way representation by a continuous, monotonic real-valued welfare function defined on the Euclidean space of interpersonal utility vectors\u2014that is, an increase in this welfare function is sufficient, but may not be necessary, for social strict preference. A counter-example shows that weak continuity is insufficient; a minor strengthening to pairwise continuity is proposed instead and its sufficiency demonstrated.<\/jats:p>","DOI":"10.1007\/s00355-021-01334-x","type":"journal-article","created":{"date-parts":[[2021,7,6]],"date-time":"2021-07-06T09:03:36Z","timestamp":1625562216000},"page":"121-134","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Roberts\u2019 weak welfarism theorem: a minor correction"],"prefix":"10.1007","volume":"60","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1125-3612","authenticated-orcid":false,"given":"Peter J.","family":"Hammond","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,5,30]]},"reference":[{"key":"1334_CR1","volume-title":"Social choice and individual values","author":"KJ Arrow","year":"1963","unstructured":"Arrow KJ (1963) Social choice and individual values, 2nd edn. 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