{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T15:23:53Z","timestamp":1787325833820,"version":"build-2736575974"},"reference-count":20,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Control Optim."],"published-print":{"date-parts":[[2014,1]]},"abstract":"<jats:p>We consider a zero-sum stochastic differential game over elementary mixed feedback strategies. These are strategies based only on the knowledge of the past state, randomized continuously in time from a sampling distribution which is kept constant in between some stopping rules. Once both players choose such strategies, the state equation admits a unique solution in the sense of the martingale problem of Stroock and Varadhan. We show that the game defined over martingale solutions has a value, which is the unique continuous viscosity solution of the randomized Isaacs equation.<\/jats:p>","DOI":"10.1137\/130929977","type":"journal-article","created":{"date-parts":[[2014,9,23]],"date-time":"2014-09-23T12:25:02Z","timestamp":1411475102000},"page":"2877-2890","source":"Crossref","is-referenced-by-count":12,"title":["On Martingale Problems with Continuous-Time Mixing and Values of Zero-Sum Games without the Isaacs Condition"],"prefix":"10.1137","volume":"52","author":[{"given":"Mihai","family":"S\u00eerbu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2014,9,23]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1214\/13-AOP849"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1080\/17442508708833443"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1137\/0311008"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1007\/BF01288560"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1137\/0314006"},{"key":"atypb6","first-page":"136","author":"Elliott R. 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Subbotin,\n                      Game-Theoretical Control Problems\n                      , Springer Series in Soviet Mathematics, Springer-Verlag, New York, 1988; translated from the Russian by S. Kotz.","DOI":"10.1007\/978-1-4612-3716-7"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1015345598"},{"key":"atypb14","doi-asserted-by":"crossref","unstructured":"A. P. Maitra and W. D. Sudderth,\n                      Discrete Gambling and Stochastic Games\n                      , Appl. Math. 32, Springer, New York, 1996.","DOI":"10.1007\/978-1-4612-4002-0"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1017\/S0027763000002932"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1137\/120894907"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1137\/130929965"},{"key":"atypb18","first-page":"39","volume":"191","author":"E\u0300.","year":"1970","journal-title":"Dokl. Akad. Nauk SSSR"},{"key":"atypb19","doi-asserted-by":"crossref","unstructured":"D. W. Stroock and S. R. S. Varadhan,\n                      Multidimensional Diffusion Processes\n                      , Classics in Mathematics, Springer-Verlag, Berlin, 2006; reprint of the 1997 edition.","DOI":"10.1007\/3-540-28999-2"},{"key":"atypb20","unstructured":"L. C. Young,\n                      Lectures on the Calculus of Variations and Optimal Control Theory\n                      , W. B. Saunders, Philadelphia, London, Toronto, 1969."}],"container-title":["SIAM Journal on Control and Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/130929977","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:23:16Z","timestamp":1787322196000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/130929977"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,1]]},"references-count":20,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2014,1]]}},"alternative-id":["10.1137\/130929977"],"URL":"https:\/\/doi.org\/10.1137\/130929977","relation":{},"ISSN":["0363-0129","1095-7138"],"issn-type":[{"value":"0363-0129","type":"print"},{"value":"1095-7138","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,1]]}}}