{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T17:54:20Z","timestamp":1740160460019,"version":"3.37.3"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2016,4,26]],"date-time":"2016-04-26T00:00:00Z","timestamp":1461628800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2016,4,26]],"date-time":"2016-04-26T00:00:00Z","timestamp":1461628800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100000923","name":"Australian Research Council","doi-asserted-by":"publisher","award":["DP130104432"],"award-info":[{"award-number":["DP130104432"]}],"id":[{"id":"10.13039\/501100000923","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Dyn Games Appl"],"published-print":{"date-parts":[[2017,9]]},"DOI":"10.1007\/s13235-016-0189-z","type":"journal-article","created":{"date-parts":[[2016,4,26]],"date-time":"2016-04-26T08:04:20Z","timestamp":1461657860000},"page":"386-401","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["On Nonzero-Sum Game Considered on Solutions of a Hybrid System with Frequent Random Jumps"],"prefix":"10.1007","volume":"7","author":[{"given":"Ilaria","family":"Brunetti","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vladimir","family":"Gaitsgory","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eitan","family":"Altman","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,4,26]]},"reference":[{"key":"189_CR1","doi-asserted-by":"publisher","first-page":"160","DOI":"10.1016\/j.orl.2007.05.010","volume":"36","author":"E Altman","year":"2008","unstructured":"Altman E, Avrachenkov K, Bonneau N, Debbah M, El-Azouzi R, Menasche DS (2008) Constrained cost-coupled stochastic games with independent state processes. Oper Res Lett 36:160\u2013164","journal-title":"Oper Res Lett"},{"issue":"4","key":"189_CR2","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1016\/0167-6911(93)90007-S","volume":"20","author":"E Altman","year":"1993","unstructured":"Altman E, Gaitsgory V (1993) Control of a hybrid stochastic system. Syst Control Lett 20(4):307\u2013314","journal-title":"Syst Control Lett"},{"key":"189_CR3","first-page":"47","volume":"3","author":"E Altman","year":"1995","unstructured":"Altman E, Gaitsgory V (1995) A hybrid differential stochastic zero sum game with fast stochastic part. Ann Int Soc Dyn Games 3:47\u201359","journal-title":"Ann Int Soc Dyn Games"},{"issue":"6","key":"189_CR4","doi-asserted-by":"publisher","first-page":"2070","DOI":"10.1137\/S0363012995279985","volume":"35","author":"E Altman","year":"1997","unstructured":"Altman E, Gaitsgory V (1997) Asymptotic optimization of a nonlinear hybrid system controlled by a Markov decision process. SIAM J Control Optim 35(6):2070\u20132085","journal-title":"SIAM J Control Optim"},{"issue":"7","key":"189_CR5","doi-asserted-by":"publisher","first-page":"1560","DOI":"10.1109\/TAC.2010.2042230","volume":"55","author":"E Altman","year":"2010","unstructured":"Altman E, Hayel Y (2010) Markov decision evolutionary games. IEEE Trans Autom Control 55(7):1560\u20131569","journal-title":"IEEE Trans Autom Control"},{"key":"189_CR6","first-page":"1","volume":"204","author":"O Alvarez","year":"2010","unstructured":"Alvarez O, Bardi M (2010) Ergodicity, stabilization, and singular perturbations for Bellman\u2013Isaacs equations. Mem Am Math Soc 204:1\u201388","journal-title":"Mem Am Math Soc"},{"key":"189_CR7","volume-title":"Dynamic noncooperative game theory","author":"T Basar","year":"1999","unstructured":"Basar T, Olsder GJ (1999) Dynamic noncooperative game theory, 2nd edn. SIAM, Philadelphia, PA","edition":"2"},{"key":"189_CR8","doi-asserted-by":"crossref","unstructured":"Brunetti I, Hayel Y, Altman E (2015) State policy couple dynamics in evolutionary games. In: ACC conference, Chicago","DOI":"10.1109\/ACC.2015.7170987"},{"key":"189_CR9","volume-title":"Finite state Markovian decision processes","author":"C Derman","year":"1970","unstructured":"Derman C (1970) Finite state Markovian decision processes. Academic Press, New York"},{"issue":"5","key":"189_CR10","doi-asserted-by":"publisher","first-page":"1228","DOI":"10.1137\/0330065","volume":"30","author":"V Gaitsgory","year":"1992","unstructured":"Gaitsgory V (1992) Suboptimization of singularly perturbed control problems. SIAM J Control Optim 30(5):1228\u20131240","journal-title":"SIAM J Control Optim"},{"issue":"3","key":"189_CR11","doi-asserted-by":"publisher","first-page":"862","DOI":"10.1006\/jmaa.1996.0352","volume":"202","author":"V Gaitsgory","year":"1996","unstructured":"Gaitsgory V (1996) Limit Hamilton\u2013Jacobi\u2013Isaacs equations for singularly perturbed zero-sum differential games. J Math Anal Appl 202(3):862\u2013899","journal-title":"J Math Anal Appl"},{"key":"189_CR12","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1007\/s00245-014-9257-1","volume":"71","author":"V Gaitsgory","year":"2015","unstructured":"Gaitsgory V, Rossomakhne S (2015) Averaging and linear programming in some singularly perturbed problems of optimal control. J Appl Math Optim 71:195\u2013276","journal-title":"J Appl Math Optim"},{"key":"189_CR13","first-page":"129","volume":"6","author":"MT Nguyen","year":"2001","unstructured":"Nguyen MT, Altman E, Gaitsgory V (2001) On stochastic hybrid zero-sum games with nonlinear slow dynamics. Ann Int Soc Dyn Games 6:129\u2013145","journal-title":"Ann Int Soc Dyn Games"},{"issue":"3","key":"189_CR14","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1007\/BF01464273","volume":"2","author":"RC Scalzo","year":"1976","unstructured":"Scalzo RC, Williams SA (1976) On the existence of a Nash equilibrium point for $$N$$-person differential games. Appl Math Optim 2(3):271\u2013278","journal-title":"Appl Math Optim"},{"issue":"3","key":"189_CR15","doi-asserted-by":"publisher","first-page":"1693","DOI":"10.1137\/130929965","volume":"52","author":"M Sirbu","year":"2014","unstructured":"Sirbu M (2014) Stochastic Perron\u2019s method and elementary strategies for zero-sum differential games. SIAM J Control Optim 52(3):1693\u20131711","journal-title":"SIAM J Control Optim"},{"key":"189_CR16","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1007\/BF01194402","volume":"47","author":"P Shi","year":"1998","unstructured":"Shi P, Altman E, Gaitsgory V (1998) On asymptotic optimization of a class of nonlinear stochastic hybrid systems. Math Methods Oper Res 47:289\u2013315","journal-title":"Math Methods Oper Res"}],"container-title":["Dynamic Games and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13235-016-0189-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13235-016-0189-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13235-016-0189-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13235-016-0189-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,17]],"date-time":"2020-05-17T18:26:17Z","timestamp":1589739977000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13235-016-0189-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,4,26]]},"references-count":16,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017,9]]}},"alternative-id":["189"],"URL":"https:\/\/doi.org\/10.1007\/s13235-016-0189-z","relation":{},"ISSN":["2153-0785","2153-0793"],"issn-type":[{"type":"print","value":"2153-0785"},{"type":"electronic","value":"2153-0793"}],"subject":[],"published":{"date-parts":[[2016,4,26]]},"assertion":[{"value":"26 April 2016","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}