{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:37:30Z","timestamp":1777379850954,"version":"3.51.4"},"reference-count":38,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"DOI":"10.13039\/100012740","name":"Gruppo Nazionale per l\u2019Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100012740","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004052","name":"King Abdullah University of Science and Technology","doi-asserted-by":"publisher","award":["CRG2021-4674"],"award-info":[{"award-number":["CRG2021-4674"]}],"id":[{"id":"10.13039\/501100004052","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Italian Ministry of University and Research","award":["2022W58BJ5"],"award-info":[{"award-number":["2022W58BJ5"]}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["320021702\/GRK2326"],"award-info":[{"award-number":["320021702\/GRK2326"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2024,8,31]]},"DOI":"10.1137\/23m1608100","type":"journal-article","created":{"date-parts":[[2024,7,15]],"date-time":"2024-07-15T08:02:02Z","timestamp":1721030522000},"page":"5079-5098","source":"Crossref","is-referenced-by-count":5,"title":["Long-Time Behavior of Deterministic Mean Field Games with Nonmonotone Interactions"],"prefix":"10.1137","volume":"56","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4342-268X","authenticated-orcid":true,"given":"Martino","family":"Bardi","sequence":"first","affiliation":[{"name":"Department of Mathematics \u201cT. Levi-Civita,\u201d University of Padova, via Trieste, 63, I-35121 Padova, Italy."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2632-448X","authenticated-orcid":true,"given":"Hicham","family":"Kouhkouh","sequence":"additional","affiliation":[{"name":"RWTH Aachen University, Institut f\u00fcr Mathematik, RTG Energy, Entropy, and Dissipative Dynamics, Templergraben 55 (111810), 52062, Aachen, Germany. Current address: Department of Mathematics and Scientific Computing, NAWI, University of Graz, 8010, Graz, Austria."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2024,7,15]]},"reference":[{"key":"ref1","volume-title":"Gradient Flows: In Metric Spaces and in the Space of Probability Measures","author":"Ambrosio L.","year":"2005"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.matpur.2016.06.004"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-69512-4"},{"key":"ref4","volume-title":"Optimal Control and Viscosity solutions of Hamilton\u2013Jacobi\u2013Bellman Equations","author":"Bardi M.","year":"2008"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/s00030-016-0397-7"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-022-09953-1"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2023.03.045"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/s11579-014-0127-z"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/s13235-019-00321-3"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-021-10071-9"},{"key":"ref12","series-title":"Lecture Notes","volume-title":"Notes on Mean Field Games","author":"Cardaliaguet P.","year":"2013"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/s13235-013-0091-x"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1090\/proc\/15135"},{"key":"ref15","series-title":"Ann. of Math. Stud. 201","volume-title":"The Master Equation and the Convergence Problem in Mean Field Games","author":"Cardaliaguet P.","year":"2019"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.3934\/nhm.2012.7.279"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1137\/120904184"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2019.09.060"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2020.112185"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.2140\/apde.2019.12.1397"},{"key":"ref21","volume-title":"Probabilistic Theory of Mean Field Games with Applications I","author":"Carmona R.","year":"2018"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-56436-4"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.2140\/apde.2019.12.737"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1090\/tran\/8362"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1080\/03605302.2016.1192647"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/s00208-021-02217-3"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1051\/cocv\/2021077"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-018-9667-x"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.38.2.121"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/s13235-013-0088-5"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-020-09711-1"},{"key":"ref32","first-page":"170","volume":"3","author":"Glicksberg I. L.","year":"1952","journal-title":"Proc. Amer. Math. Soc."},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.3934\/nhm.2020019"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1090\/psapm\/078\/03"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/s11537-007-0657-8"},{"key":"ref36","volume-title":"Th\u00e9orie des jeux \u00e0 champs moyen et applications","author":"Lions P.-L.","year":"2008"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1007\/s00030-019-0560-z"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1093\/imamci\/dnad006"},{"key":"ref39","first-page":"285","volume":"3","author":"Porretta A.","year":"2018","journal-title":"Minimax Theory Appl."}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,7,15]],"date-time":"2024-07-15T08:02:16Z","timestamp":1721030536000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1608100"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,7,15]]},"references-count":38,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2024,8,31]]}},"alternative-id":["10.1137\/23M1608100"],"URL":"https:\/\/doi.org\/10.1137\/23m1608100","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"value":"0036-1410","type":"print"},{"value":"1095-7154","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,7,15]]}}}