{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:43:18Z","timestamp":1772296998992,"version":"3.50.1"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2017,2,10]],"date-time":"2017-02-10T00:00:00Z","timestamp":1486684800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100000858","name":"University of Sheffield","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000858","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004004","name":"Universit\u00e0 degli Studi di Trento","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004004","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2017,5]]},"DOI":"10.1007\/s10957-017-1078-3","type":"journal-article","created":{"date-parts":[[2017,2,10]],"date-time":"2017-02-10T17:20:03Z","timestamp":1486747203000},"page":"704-726","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Game Theoretic Decentralized Feedback Controls in Markov Jump Processes"],"prefix":"10.1007","volume":"173","author":[{"given":"Fabio","family":"Bagagiolo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dario","family":"Bauso","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1448-3782","authenticated-orcid":false,"given":"Rosario","family":"Maggistro","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marta","family":"Zoppello","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,2,10]]},"reference":[{"key":"1078_CR1","volume-title":"Traffic Flow on Networks","author":"M Garavello","year":"2006","unstructured":"Garavello, M., Piccoli, B.: Traffic Flow on Networks. American Institute of Mathematical Sciences, Springfield (2006)"},{"issue":"4","key":"1078_CR2","doi-asserted-by":"crossref","first-page":"709","DOI":"10.3934\/nhm.2008.3.709","volume":"3","author":"K-J Engel","year":"2008","unstructured":"Engel, K.-J., Kramar, F.M., Nagel, R., Sikolya, E.: Vertex control of flows in networks. Netw. Heterog. Media 3(4), 709\u2013722 (2008)","journal-title":"Netw. Heterog. Media"},{"key":"1078_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-84800-015-5","volume-title":"Distributed Consensus in Multi-vehicle Cooperative Control","author":"W Ren","year":"2008","unstructured":"Ren, W., Beard, R.W.: Distributed Consensus in Multi-vehicle Cooperative Control. Springer, London (2008)"},{"key":"1078_CR4","doi-asserted-by":"publisher","unstructured":"Bauso, D., Zhang, X., Papachristodoulou, A.: Density Flow over Networks via Mean-Field Game. IEEE Trans. Autom. Control (2016). doi: 10.1109\/TAC.2016.2584979","DOI":"10.1109\/TAC.2016.2584979"},{"issue":"7","key":"1078_CR5","doi-asserted-by":"crossref","first-page":"2206","DOI":"10.1016\/j.automatica.2013.03.029","volume":"49","author":"D Bauso","year":"2013","unstructured":"Bauso, D., Blanchini, F., Giarr\u00e9, L., Pesenti, R.: The linear saturated decentralized strategy for constrained flow control is asymptotically optimal. Automatica 49(7), 2206\u20132212 (2013)","journal-title":"Automatica"},{"issue":"2","key":"1078_CR6","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1109\/TAC.2012.2209951","volume":"58","author":"G Como","year":"2013","unstructured":"Como, G., Savla, K., Acemoglu, D., Dahleh, M., Frazzoli, E.: Distributed robust routing in dynamical networks-Part I: locally responsive policies and weak resilience. IEEE Trans. Autom. Control 58(2), 317\u2013332 (2013)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"2","key":"1078_CR7","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1109\/TAC.2012.2209975","volume":"58","author":"G Como","year":"2013","unstructured":"Como, G., Savla, K., Acemoglu, D., Dahleh, M., Frazzoli, E.: Distributed robust routing in dynamical networks-Part II: strong resilience, equilibrium selection and cascaded failures. IEEE Trans. Autom. Control 58(2), 333\u2013348 (2013)","journal-title":"IEEE Trans. Autom. Control"},{"key":"1078_CR8","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1057\/palgrave.jors.2600523","volume":"49","author":"FP Kelly","year":"1998","unstructured":"Kelly, F.P., Maulloo, A.K., Tan, D.K.H.: Rate control for communication networks: shadow prices, proportional fairness and stability. J. Oper. Res. Soc. 49, 237\u2013252 (1998)","journal-title":"J. Oper. Res. Soc."},{"issue":"4","key":"1078_CR9","first-page":"449","volume":"8","author":"R Basna","year":"2014","unstructured":"Basna, R., Hilbert, A., Kolokoltsov, V.: An epsilon Nash equilibrium for non-linear Markov games of mean-field-type on finite spaces. Commun. Stoch. Anal. 8(4), 449\u2013468 (2014)","journal-title":"Commun. Stoch. Anal."},{"issue":"1","key":"1078_CR10","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1051\/cocv\/2009040","volume":"17","author":"F Bagagiolo","year":"2011","unstructured":"Bagagiolo, F., Bauso, D.: Objective function design for robust optimality of linear control under state-constraints and uncertainty. ESAIM Control Optim. Calc. Var. 17(1), 155\u2013177 (2011)","journal-title":"ESAIM Control Optim. Calc. Var."},{"issue":"2","key":"1078_CR11","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/s11579-012-0089-y","volume":"7","author":"R Carmona","year":"2013","unstructured":"Carmona, R., Delarue, F., Lachapelle, A.: Control of McKean\u2013Vlasov dynamics versus mean field games. Math. Financ. Econ. 7(2), 131\u2013166 (2013)","journal-title":"Math. Financ. Econ."},{"issue":"9","key":"1078_CR12","doi-asserted-by":"crossref","first-page":"1916","DOI":"10.1016\/j.automatica.2011.06.020","volume":"47","author":"F Ceragioli","year":"2011","unstructured":"Ceragioli, F., De Persis, C., Frasca, P.: Discontinuities and hysteresis in quantized average consensus. Automatica 47(9), 1916\u20131928 (2011)","journal-title":"Automatica"},{"key":"1078_CR13","unstructured":"Huang, M.Y., Caines, P.E., Malham\u00e9, R.P.: Individual and mass behaviour in large population stochastic wireless power control problems: centralized and Nash equilibrium solutions. IEEE Conference on Decision and Control, HI, USA, pp. 98\u2013103 (2003)"},{"issue":"9","key":"1078_CR14","doi-asserted-by":"crossref","first-page":"1560","DOI":"10.1109\/TAC.2007.904450","volume":"52","author":"MY Huang","year":"2007","unstructured":"Huang, M.Y., Caines, P.E., Malham\u00e9, R.P.: Large population cost-coupled LQG problems with non-uniform agents: individual-mass behaviour and decentralized $$\\varepsilon $$ \u03b5 -Nash equilibria. IEEE Trans. Autom. Control 52(9), 1560\u20131571 (2007)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"9","key":"1078_CR15","doi-asserted-by":"crossref","first-page":"619","DOI":"10.1016\/j.crma.2006.09.019","volume":"343","author":"J-M Lasry","year":"2006","unstructured":"Lasry, J.-M., Lions, P.-L.: Jeux $$\\grave{a}$$ a ` champ moyen. I Le cas stationnaire. Comptes Rendus Math. Acad. Sci. Paris 343(9), 619\u2013625 (2006)","journal-title":"Comptes Rendus Math. Acad. Sci. Paris"},{"key":"1078_CR16","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1007\/s11537-007-0657-8","volume":"2","author":"J-M Lasry","year":"2007","unstructured":"Lasry, J.-M., Lions, P.-L.: Mean field games. Jpn. J. Math. 2, 229\u2013260 (2007)","journal-title":"Jpn. J. Math."},{"key":"1078_CR17","unstructured":"Weintraub, G.Y., Benkard, C., Van Roy, B.: Oblivious equilibrium: a mean field approximation for large-scale dynamic games. In: Advances in Neural Information Processing Systems. MIT Press (2005)"},{"issue":"1","key":"1078_CR18","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1137\/100790069","volume":"50","author":"Y Achdou","year":"2012","unstructured":"Achdou, Y., Camilli, F., Capuzzo Dolcetta, I.: Mean field games: numerical methods for the planning problem. SIAM J. Control Optim. 50(1), 77\u2013109 (2012)","journal-title":"SIAM J. Control Optim."},{"key":"1078_CR19","doi-asserted-by":"crossref","unstructured":"Gueant, O., Lasry, J.-M., Lions, P.-L.: Mean field games and applications. In: Paris-Princeton Lectures, pp. 1\u201366. Springer (2010)","DOI":"10.1007\/978-3-642-14660-2_3"},{"issue":"4","key":"1078_CR20","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1142\/S0218202510004349","volume":"20","author":"A Lachapelle","year":"2010","unstructured":"Lachapelle, A., Salomon, J., Turinici, G.: Computation of mean-field equilibria in economics. Math. Models Methods Appl. Sci. 20(4), 1\u201322 (2010)","journal-title":"Math. Models Methods Appl. Sci."},{"key":"1078_CR21","doi-asserted-by":"crossref","unstructured":"Bauso, D., Zhu, Q., Basar, T.: Mixed integer optimal compensation: decompositions and mean-field approximations. In: Proceeding of 2012 American control conference, Montreal, Canada (2012)","DOI":"10.1109\/ACC.2012.6315277"},{"issue":"2","key":"1078_CR22","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1007\/s13235-013-0097-4","volume":"4","author":"F Bagagiolo","year":"2014","unstructured":"Bagagiolo, F., Bauso, D.: Mean-field games and dynamic demand management in power grids. Dyn. Games Appl. 4(2), 155\u2013176 (2014)","journal-title":"Dyn. Games Appl."},{"issue":"3","key":"1078_CR23","doi-asserted-by":"crossref","first-page":"1136","DOI":"10.1137\/090758477","volume":"48","author":"Y Achdou","year":"2010","unstructured":"Achdou, Y., Capuzzo Dolcetta, I.: Mean field games: numerical methods. SIAM J. Numer. Anal. 48(3), 1136\u20131162 (2010)","journal-title":"SIAM J. Numer. Anal."},{"issue":"4","key":"1078_CR24","doi-asserted-by":"crossref","first-page":"491","DOI":"10.1007\/BF00934036","volume":"32","author":"J Casti","year":"1980","unstructured":"Casti, J.: On the general Inverse problem of optimal control theory. J. Optim. Theory Appl. 32(4), 491\u2013497 (1980)","journal-title":"J. Optim. Theory Appl."},{"issue":"1","key":"1078_CR25","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1137\/100799344","volume":"50","author":"Y Chitour","year":"2012","unstructured":"Chitour, Y., Jean, F., Mason, P.: Optimal control models of goal-oriented human locomotion. SIAM J. Control Optim. 50(1), 147\u2013170 (2012)","journal-title":"SIAM J. Control Optim."},{"key":"1078_CR26","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-61302-9","volume-title":"Systems with Hysteresis","author":"MA Krasnoselskii","year":"1989","unstructured":"Krasnoselskii, M.A., Pokrovskii, A.V.: Systems with Hysteresis. Springer, Berlin (1989)"},{"key":"1078_CR27","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-11557-2","volume-title":"Differential Models of Hysteresis","author":"A Visintin","year":"1994","unstructured":"Visintin, A.: Differential Models of Hysteresis. Springer, Berlin (1994)"},{"key":"1078_CR28","first-page":"325","volume":"1","author":"JG Wardrop","year":"1952","unstructured":"Wardrop, J.G.: Some theoretical aspects of road traffic research. Proc. Inst. Civil Eng. II 1, 325\u2013378 (1952)","journal-title":"Proc. Inst. Civil Eng. II"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-017-1078-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-017-1078-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-017-1078-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,15]],"date-time":"2025-06-15T07:24:47Z","timestamp":1749972287000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-017-1078-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,2,10]]},"references-count":28,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,5]]}},"alternative-id":["1078"],"URL":"https:\/\/doi.org\/10.1007\/s10957-017-1078-3","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,2,10]]}}}