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The example requires payoffs and transitions to depend on time in a continuous but irregular (almost nowhere almost differentiable) way. This example offers a correction to the erroneous construction presented previously in Levy (Dyn Games Appl 3(2):279\u2013312, 2013. <jats:ext-link xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" ext-link-type=\"doi\" xlink:href=\"https:\/\/doi.org\/10.1007\/s13235-012-0067-2\">10.1007\/s13235-012-0067-2<\/jats:ext-link>).<\/jats:p>","DOI":"10.1007\/s13235-020-00361-0","type":"journal-article","created":{"date-parts":[[2020,7,22]],"date-time":"2020-07-22T16:03:37Z","timestamp":1595433817000},"page":"418-432","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["An Update on Continuous-Time Stochastic Games of Fixed Duration"],"prefix":"10.1007","volume":"11","author":[{"given":"Yehuda John","family":"Levy","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,7,22]]},"reference":[{"key":"361_CR1","doi-asserted-by":"publisher","first-page":"1173","DOI":"10.1214\/aoms\/1177696901","volume":"41","author":"SM Berman","year":"1970","unstructured":"Berman SM (1970) Gaussian processes with stationary increments: local times and sample function properties. 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