{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:43:45Z","timestamp":1772297025643,"version":"3.50.1"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2011,12,9]],"date-time":"2011-12-09T00:00:00Z","timestamp":1323388800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2012,6]]},"DOI":"10.1007\/s10957-011-9974-4","type":"journal-article","created":{"date-parts":[[2011,12,8]],"date-time":"2011-12-08T15:48:58Z","timestamp":1323359338000},"page":"662-687","source":"Crossref","is-referenced-by-count":11,"title":["Bias and Overtaking Equilibria for Zero-Sum Stochastic Differential Games"],"prefix":"10.1007","volume":"153","author":[{"given":"Beatris","family":"Escobedo-Trujillo","sequence":"first","affiliation":[]},{"given":"Daniel","family":"L\u00f3pez-Barrientos","sequence":"additional","affiliation":[]},{"given":"On\u00e9simo","family":"Hern\u00e1ndez-Lerma","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2011,12,9]]},"reference":[{"key":"9974_CR1","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1007\/BF00940187","volume":"73","author":"V.S. Borkar","year":"1992","unstructured":"Borkar, V.S., Ghosh, M.K.: Stochastic differential games: occupation measure based approach. J.\u00a0Optim. Theory Appl. 73, 359\u2013385 (1992). Correction: 88, 251\u2013252 (1996)","journal-title":"J.\u00a0Optim. Theory Appl."},{"key":"9974_CR2","doi-asserted-by":"crossref","first-page":"1911","DOI":"10.1137\/S0036301290140034","volume":"42","author":"H.J. Kushner","year":"2003","unstructured":"Kushner, H.J.: Numerical approximations for stochastic differential games: the ergodic case. SIAM J. Control Optim. 42, 1911\u20131933 (2003)","journal-title":"SIAM J. Control Optim."},{"key":"9974_CR3","doi-asserted-by":"crossref","first-page":"543","DOI":"10.2307\/2224098","volume":"38","author":"F.P. Ramsey","year":"1928","unstructured":"Ramsey, F.P.: A mathematical theory of savings. Econ. J. 38, 543\u2013559 (1928)","journal-title":"Econ. J."},{"key":"9974_CR4","doi-asserted-by":"crossref","first-page":"127","DOI":"10.2307\/2296057","volume":"32","author":"H. Atsumi","year":"1965","unstructured":"Atsumi, H.: Neoclassical growth and the efficient program of capital accumulation. Rev. Econ. Stud. 32, 127\u2013136 (1965)","journal-title":"Rev. Econ. Stud."},{"key":"9974_CR5","doi-asserted-by":"crossref","first-page":"85","DOI":"10.2307\/2296054","volume":"32","author":"C.C. Weizs\u00e4cker von","year":"1965","unstructured":"von Weizs\u00e4cker, C.C.: Existence of optimal programs of accumulation for an infinite horizon. Rev. Econ. Stud. 32, 85\u2013104 (1965)","journal-title":"Rev. Econ. Stud."},{"key":"9974_CR6","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1007\/978-3-642-45494-3_4","volume-title":"Mathematical Economics and Game Theory: Essays in Honor of Oscar Morgenstern","author":"W.A. Brock","year":"1977","unstructured":"Brock, W.A.: Differential games with active and passive variables. In: Henn, R., Moeschlin, O. (eds.) Mathematical Economics and Game Theory: Essays in Honor of Oscar Morgenstern, pp. 34\u201352. Springer, Berlin (1977)"},{"key":"9974_CR7","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0022-0531(79)90002-4","volume":"21","author":"A. Rubinstein","year":"1979","unstructured":"Rubinstein, A.: Equilibrium in supergames with the overtaking criterion. J. Econ. Theory 21, 1\u20139 (1979)","journal-title":"J. Econ. Theory"},{"key":"9974_CR8","volume-title":"Advances in Dynamic Games","author":"D. Carlson","year":"2005","unstructured":"Carlson, D.: Normalized overtaking Nash equilibrium for a class of distributed parameter dynamic games. In: Nowak, A.S., Swajowski, K. (eds.) Advances in Dynamic Games. Birkhauser, Boston (2005)"},{"key":"9974_CR9","series-title":"Annals of the ISDG","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1007\/978-1-4612-4274-1_18","volume-title":"New Trends in Dynamic Games and Applications","author":"D. Carlson","year":"1995","unstructured":"Carlson, D., Haurie, A.: A turnpike theory for infinite horizon open-loop differential games with decoupled controls. In: Olsder, G.J. (ed.) New Trends in Dynamic Games and Applications. Annals of the ISDG, vol. 3, pp. 353\u2013376. Birkh\u00e4user, Boston (1995)"},{"key":"9974_CR10","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/j.econlet.2007.05.033","volume":"99","author":"A.S. Nowak","year":"2008","unstructured":"Nowak, A.S.: Equilibrium in a dynamic game of capital accumulation with the overtaking criterion. Econ. Lett. 99, 233\u2013237 (2008)","journal-title":"Econ. Lett."},{"key":"9974_CR11","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1007\/s001860050059","volume":"49","author":"A.S. Nowak","year":"1998","unstructured":"Nowak, A.S., Vega-Amaya, O.: A counterexample on overtaking optimality. Math. Methods Oper. Res. 49, 435\u2013439 (1998)","journal-title":"Math. Methods Oper. Res."},{"key":"9974_CR12","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/s001860050078","volume":"50","author":"A.S. Nowak","year":"1999","unstructured":"Nowak, A.S.: Sensitive equilibria for ergodic stochastic games with countable state spaces. Math. Methods Oper. Res. 50, 65\u201376 (1999)","journal-title":"Math. Methods Oper. Res."},{"key":"9974_CR13","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1007\/s001860050078","volume":"50","author":"A.S. Nowak","year":"1999","unstructured":"Nowak, A.S.: Optimal strategies in a class of zero-sum ergodic stochastic games. Math. Methods Oper. Res. 50, 399\u2013419 (1999)","journal-title":"Math. Methods Oper. Res."},{"key":"9974_CR14","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1007\/s00245-007-9025-6","volume":"57","author":"H. Jasso-Fuentes","year":"2008","unstructured":"Jasso-Fuentes, H., Hern\u00e1ndez-Lerma, O.: Characterizations of overtaking optimality for controlled diffusion processes. Appl. Math. Optim. 57, 349\u2013369 (2008)","journal-title":"Appl. Math. Optim."},{"key":"9974_CR15","doi-asserted-by":"crossref","first-page":"437","DOI":"10.1007\/s001860400392","volume":"61","author":"T. Prieto-Rumeau","year":"2005","unstructured":"Prieto-Rumeau, T., Hern\u00e1ndez-Lerma, O.: Bias and overtaking equilibria for zero-sum continuous-time Markov games. Math. Methods Oper. Res. 61, 437\u2013454 (2005)","journal-title":"Math. Methods Oper. Res."},{"key":"9974_CR16","doi-asserted-by":"crossref","first-page":"4181","DOI":"10.1137\/090762464","volume":"48","author":"A. Arapostathis","year":"2010","unstructured":"Arapostathis, A., Borkar, V.S.: Uniform recurrence properties of controlled diffusions and applications to optimal control. SIAM J. Control Optim. 48, 4181\u20134223 (2010)","journal-title":"SIAM J. Control Optim."},{"key":"9974_CR17","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03185-8","volume-title":"Stochatic Differential Equations: An Introduction with Applications","author":"B. Oksendal","year":"1995","unstructured":"Oksendal, B.: Stochatic Differential Equations: An Introduction with Applications. Springer, New York (1995)"},{"key":"9974_CR18","doi-asserted-by":"crossref","first-page":"1183","DOI":"10.1137\/0331056","volume":"31","author":"M.K. Ghosh","year":"1993","unstructured":"Ghosh, M.K., Arapostathis, A., Marcus, S.I.: Optimal control of switching diffusions with applications to flexible manufacturing systems. SIAM J. Control Optim. 31, 1183\u20131204 (1993)","journal-title":"SIAM J. Control Optim."},{"key":"9974_CR19","doi-asserted-by":"crossref","first-page":"1962","DOI":"10.1137\/S0363012996299302","volume":"35","author":"M.K. Ghosh","year":"1997","unstructured":"Ghosh, M.K., Arapostathis, A., Marcus, S.I.: Ergodic control of switching diffusions. SIAM J. Control Optim. 35, 1962\u20131988 (1997)","journal-title":"SIAM J. Control Optim."},{"key":"9974_CR20","doi-asserted-by":"crossref","first-page":"2246","DOI":"10.1214\/aop\/1176989019","volume":"21","author":"A.G. Bhatt","year":"1993","unstructured":"Bhatt, A.G., Karandikar, R.L.: Invariant measures and evolution equations for Markov processes. Ann. Probab. 21, 2246\u20132268 (1993)","journal-title":"Ann. Probab."},{"key":"9974_CR21","doi-asserted-by":"crossref","DOI":"10.1142\/p386","volume-title":"Introduction to Stochastic Calculus with Applications","author":"F.C. Klebaner","year":"2005","unstructured":"Klebaner, F.C.: Introduction to Stochastic Calculus with Applications, 2nd edn. Imperial College Press, London (2005)","edition":"2"},{"key":"9974_CR22","first-page":"32","volume":"39","author":"K. Fan","year":"1953","unstructured":"Fan, K.: Minimax theorems. Proc. Natl. Acad. Sci. USA 39, 32\u201347 (1953)","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"9974_CR23","doi-asserted-by":"crossref","first-page":"171","DOI":"10.2140\/pjm.1958.8.171","volume":"8","author":"M. Sion","year":"1958","unstructured":"Sion, M.: On general minimax theorems. Pac. J. Math. 8, 171\u2013176 (1958)","journal-title":"Pac. J. Math."},{"key":"9974_CR24","volume-title":"Perturbation Methods in Optimal Control","author":"A. Bensoussan","year":"1998","unstructured":"Bensoussan, A.: Perturbation Methods in Optimal Control. Wiley, New York (1998)"},{"key":"9974_CR25","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1137\/S0363012997325411","volume":"38","author":"H. Morimoto","year":"1999","unstructured":"Morimoto, H., Okada, M.: Some results on the Bellman equation of ergodic control. SIAM J. Control Optim. 38, 159\u2013174 (1999)","journal-title":"SIAM J. Control Optim."},{"key":"9974_CR26","doi-asserted-by":"crossref","unstructured":"L\u00f3pez-Barrientos, J.D., Escobedo-Trujillo, B.A., Hern\u00e1ndez-Lerma, O.: Zero-sum stochastic differential games with discounted payoffs. Submitted (2011)","DOI":"10.1007\/s10957-011-9974-4"},{"key":"9974_CR27","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1007\/BF00532612","volume":"32","author":"M. Sch\u00e4l","year":"1975","unstructured":"Sch\u00e4l, M.: Conditions for optimality and for the limit of n-stage optimal policies to be optimal. Z.\u00a0Wahrs. Verw. Gerb. 32, 179\u2013196 (1975)","journal-title":"Z.\u00a0Wahrs. Verw. Gerb."},{"key":"9974_CR28","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1007\/BF01445163","volume":"21","author":"V.S. Borkar","year":"1990","unstructured":"Borkar, V.S., Ghosh, M.K.: Ergodic control of multidimensional diffusions II: adaptive control. Appl. Math. Optim. 21, 191\u2013220 (1990)","journal-title":"Appl. Math. Optim."},{"key":"9974_CR29","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1080\/10451120500114045","volume":"77","author":"S.N. Hashemi","year":"2005","unstructured":"Hashemi, S.N., Heunis, A.J.: On the Poisson equation for singular diffusions. Stochastics 77, 155\u2013189 (2005)","journal-title":"Stochastics"},{"key":"9974_CR30","doi-asserted-by":"crossref","first-page":"372","DOI":"10.1239\/jap\/1245676094","volume":"46","author":"H. Jasso-Fuentes","year":"2009","unstructured":"Jasso-Fuentes, H., Hern\u00e1ndez-Lerma, O.: Blackwell optimality for controlled diffusion processes. J.\u00a0Appl. Probab. 46, 372\u2013391 (2009)","journal-title":"J.\u00a0Appl. Probab."},{"key":"9974_CR31","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1109\/TAC.1986.1104206","volume":"31","author":"R. Akella","year":"1985","unstructured":"Akella, R., Kumar, P.R.: Optimal control of production rate in a failure prone manufacturing system. IEEE Trans. Autom. Control 31, 116\u2013126 (1985)","journal-title":"IEEE Trans. Autom. Control"},{"key":"9974_CR32","volume-title":"Elliptic Partial Differential Equations of Second Order","author":"D. Gilbarg","year":"1998","unstructured":"Gilbarg, D., Trudinger, N.S.: Elliptic Partial Differential Equations of Second Order. Springer, Heidelberg (1998). Reprinted version"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-011-9974-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-011-9974-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-011-9974-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,20]],"date-time":"2019-06-20T15:57:34Z","timestamp":1561046254000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-011-9974-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,12,9]]},"references-count":32,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2012,6]]}},"alternative-id":["9974"],"URL":"https:\/\/doi.org\/10.1007\/s10957-011-9974-4","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,12,9]]}}}