{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:04:28Z","timestamp":1740107068719,"version":"3.37.3"},"reference-count":3,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2024,3,14]],"date-time":"2024-03-14T00:00:00Z","timestamp":1710374400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2024,3,14]],"date-time":"2024-03-14T00:00:00Z","timestamp":1710374400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100003407","name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","doi-asserted-by":"publisher","award":["2017CY2NCA"],"award-info":[{"award-number":["2017CY2NCA"]}],"id":[{"id":"10.13039\/501100003407","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soc Choice Welf"],"published-print":{"date-parts":[[2024,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>An extensive choice over <jats:italic>X<\/jats:italic> is a function assigning to any subset <jats:italic>S<\/jats:italic> of <jats:italic>X<\/jats:italic> a possibly empty subset of <jats:italic>S<\/jats:italic>. Klamler (Soc Choice Welf 30:419\u2013425, 2008) shows that the operation of symmetric difference induces a metric on the family of extensive choices over <jats:italic>X<\/jats:italic>, and this metric is characterized by five axioms \u2013. We provide counterexamples to Klamler\u2019s result, suggest a slight modification of axioms  and  to obtain a correct characterization, and finally observe that axiom  is redundant.<\/jats:p>","DOI":"10.1007\/s00355-023-01497-9","type":"journal-article","created":{"date-parts":[[2024,3,14]],"date-time":"2024-03-14T15:05:26Z","timestamp":1710428726000},"page":"785-788","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Christian Klamler\u2019s \u201dA distance measure for choice functions\u201d [Social Choice and Welfare 30 (2008) 419\u2013425]: a correction"],"prefix":"10.1007","volume":"62","author":[{"given":"Davide","family":"Carpentiere","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2109-1381","authenticated-orcid":false,"given":"Alfio","family":"Giarlotta","sequence":"additional","affiliation":[]},{"given":"Stephen","family":"Watson","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,3,14]]},"reference":[{"key":"1497_CR1","unstructured":"Albayrak SR, Aleskerov F (2000) Convexity of choice function sets. Bogazici University Research Paper ISS\/EC-2000-01"},{"key":"1497_CR2","first-page":"577","volume":"88","author":"JG Kemeny","year":"1959","unstructured":"Kemeny JG (1959) Mathematics without numbers. Daedalus 88:577\u2013591","journal-title":"Daedalus"},{"key":"1497_CR3","doi-asserted-by":"publisher","first-page":"419","DOI":"10.1007\/s00355-007-0239-y","volume":"30","author":"C Klamler","year":"2008","unstructured":"Klamler C (2008) A distance measure for choice function. Soc Choice Welf 30:419\u2013425","journal-title":"Soc Choice Welf"}],"container-title":["Social Choice and Welfare"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00355-023-01497-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00355-023-01497-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00355-023-01497-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,27]],"date-time":"2024-05-27T07:04:30Z","timestamp":1716793470000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00355-023-01497-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,3,14]]},"references-count":3,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2024,6]]}},"alternative-id":["1497"],"URL":"https:\/\/doi.org\/10.1007\/s00355-023-01497-9","relation":{},"ISSN":["0176-1714","1432-217X"],"issn-type":[{"type":"print","value":"0176-1714"},{"type":"electronic","value":"1432-217X"}],"subject":[],"published":{"date-parts":[[2024,3,14]]},"assertion":[{"value":"9 November 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 November 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 March 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}