{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,31]],"date-time":"2025-12-31T01:00:34Z","timestamp":1767142834908,"version":"build-2238731810"},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2020,7,27]],"date-time":"2020-07-27T00:00:00Z","timestamp":1595808000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,7,27]],"date-time":"2020-07-27T00:00:00Z","timestamp":1595808000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000183","name":"Army Research Office","doi-asserted-by":"publisher","award":["W911NF-17-1-0232"],"award-info":[{"award-number":["W911NF-17-1-0232"]}],"id":[{"id":"10.13039\/100000183","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["ECCS 1509812"],"award-info":[{"award-number":["ECCS 1509812"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["ECCS 1750041"],"award-info":[{"award-number":["ECCS 1750041"]}],"id":[{"id":"10.13039\/100000001","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":[[2021,6]]},"DOI":"10.1007\/s13235-020-00364-x","type":"journal-article","created":{"date-parts":[[2020,7,27]],"date-time":"2020-07-27T06:02:48Z","timestamp":1595829768000},"page":"363-388","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Upper and Lower Values in Zero-Sum Stochastic Games with Asymmetric Information"],"prefix":"10.1007","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2865-356X","authenticated-orcid":false,"given":"Dhruva","family":"Kartik","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ashutosh","family":"Nayyar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,7,27]]},"reference":[{"key":"364_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-17197-0","volume-title":"Network security: a decision and game-theoretic approach","author":"T Alpcan","year":"2010","unstructured":"Alpcan T, Ba\u015far T (2010) Network security: a decision and game-theoretic approach. Cambridge University Press, Cambridge"},{"issue":"5","key":"364_CR2","doi-asserted-by":"publisher","first-page":"1963","DOI":"10.1109\/TCST.2012.2211873","volume":"21","author":"S Amin","year":"2012","unstructured":"Amin S, Litrico X, Sastry S, Bayen AM (2012) Cyber security of water scada systemspart I: analysis and experimentation of stealthy deception attacks. IEEE Trans Control Syst Technol 21(5):1963\u20131970","journal-title":"IEEE Trans Control Syst Technol"},{"issue":"1","key":"364_CR3","doi-asserted-by":"publisher","first-page":"66","DOI":"10.1109\/MCS.2014.2364711","volume":"35","author":"S Amin","year":"2015","unstructured":"Amin S, Schwartz GA, Cardenas AA, Sastry SS (2015) Game-theoretic models of electricity theft detection in smart utility networks: providing new capabilities with advanced metering infrastructure. IEEE Control Syst Mag 35(1):66\u201381","journal-title":"IEEE Control Syst Mag"},{"key":"364_CR4","volume-title":"Repeated games with incomplete information","author":"RJ Aumann","year":"1995","unstructured":"Aumann RJ, Maschler M, Stearns RE (1995) Repeated games with incomplete information. MIT Press, Cambridge"},{"issue":"4","key":"364_CR5","doi-asserted-by":"publisher","first-page":"539","DOI":"10.1007\/BF00935757","volume":"33","author":"T Ba\u015far","year":"1981","unstructured":"Ba\u015far T (1981) On the saddle-point solution of a class of stochastic differential games. J Optim Theory Appl 33(4):539\u2013556","journal-title":"J Optim Theory Appl"},{"key":"364_CR6","volume-title":"Dynamic noncooperative game theory","author":"T Basar","year":"1999","unstructured":"Basar T, Olsder GJ (1999) Dynamic noncooperative game theory, vol 23. SIAM, Philadelphia"},{"key":"364_CR7","unstructured":"Bondi E, Oh H, Xu H, Fang F, Dilkina B, Tambe M (2019) Using game theory in real time in the real world: A conservation case study. In: Proceedings of the 18th international conference on autonomous agents and multiagent systems, pp. 2336\u20132338. International Foundation for Autonomous Agents and Multiagent Systems"},{"issue":"1","key":"364_CR8","first-page":"23","volume":"38","author":"F Fang","year":"2017","unstructured":"Fang F, Nguyen TH, Pickles R, Lam WY, Clements GR, An B, Singh A, Schwedock BC, Tambe M, Lemieux A (2017) Paws-a deployed game-theoretic application to combat poaching. AI Mag 38(1):23\u201336","journal-title":"AI Mag"},{"key":"364_CR9","unstructured":"Fang F, Stone P, Tambe M (2015) When security games go green: Designing defender strategies to prevent poaching and illegal fishing. In: Twenty-fourth international joint conference on artificial intelligence"},{"key":"364_CR10","volume-title":"Competitive Markov decision processes","author":"J Filar","year":"2012","unstructured":"Filar J, Vrieze K (2012) Competitive Markov decision processes. Springer, Berlin"},{"key":"364_CR11","volume-title":"Game theory","author":"D Fudenberg","year":"1991","unstructured":"Fudenberg D, Tirole J (1991) Game theory. MIT Press, Cambridge"},{"issue":"3","key":"364_CR12","doi-asserted-by":"publisher","first-page":"411","DOI":"10.3934\/jdg.2014.1.411","volume":"1","author":"F Gensbittel","year":"2014","unstructured":"Gensbittel F, Oliu-Barton M, Venel X (2014) Existence of the uniform value in zero-sum repeated games with a more informed controller. J Dyn Games 1(3):411\u2013445","journal-title":"J Dyn Games"},{"issue":"4","key":"364_CR13","doi-asserted-by":"publisher","first-page":"820","DOI":"10.1287\/moor.2014.0697","volume":"40","author":"F Gensbittel","year":"2015","unstructured":"Gensbittel F, Renault J (2015) The value of Markov chain games with incomplete information on both sides. Math Oper Res 40(4):820\u2013841","journal-title":"Math Oper Res"},{"key":"364_CR14","unstructured":"Hansen EA (1998) Solving pomdps by searching in policy space. In: Proceedings of the fourteenth conference on Uncertainty in artificial intelligence, pp 211\u2013219"},{"issue":"4","key":"364_CR15","first-page":"365","volume":"2","author":"O Haywood Jr","year":"1954","unstructured":"Haywood O Jr (1954) Military decision and game theory. J Oper Res Soc Am 2(4):365\u2013385","journal-title":"J Oper Res Soc Am"},{"key":"364_CR16","volume-title":"Discrete-time Markov control processes: basic optimality criteria","author":"O Hern\u00e1ndez-Lerma","year":"2012","unstructured":"Hern\u00e1ndez-Lerma O, Lasserre JB (2012) Discrete-time Markov control processes: basic optimality criteria, vol 30. Springer, Berlin"},{"key":"364_CR17","doi-asserted-by":"crossref","unstructured":"Kartik D, Nayyar A (2019) Stochastic zero-sum games with asymmetric information. In: 58th IEEE conference on decision and control. IEEE","DOI":"10.1109\/CDC40024.2019.9030177"},{"key":"364_CR18","doi-asserted-by":"crossref","unstructured":"Kartik D, Nayyar A (2019) Zero-sum stochastic games with asymmetric information. arXiv preprint arXiv:1909.01445","DOI":"10.1109\/CDC40024.2019.9030177"},{"key":"364_CR19","doi-asserted-by":"crossref","unstructured":"Li L, Shamma J (2014) LP formulation of asymmetric zero-sum stochastic games. In: 53rd IEEE conference on decision and control, pp. 1930\u20131935. IEEE","DOI":"10.1109\/CDC.2014.7039680"},{"issue":"1\u20132","key":"364_CR20","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1007\/s00182-015-0496-4","volume":"45","author":"X Li","year":"2016","unstructured":"Li X, Venel X (2016) Recursive games: uniform value, tauberian theorem and the mertens conjecture. Int J Game Theory 45(1\u20132):155\u2013189","journal-title":"Int J Game Theory"},{"key":"364_CR21","unstructured":"Loch J, Singh SP (1998) Using eligibility traces to find the best memoryless policy in partially observable markov decision processes. In: Proceedings of the fifteenth international conference on machine learning, pp. 323\u2013331"},{"key":"364_CR22","doi-asserted-by":"publisher","unstructured":"Maschler M, Solan E, Zamir S (2013) Game theory. Cambridge University Press. https:\/\/doi.org\/10.1017\/CBO9780511794216","DOI":"10.1017\/CBO9780511794216"},{"key":"364_CR23","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139343275","volume-title":"Repeated games","author":"JF Mertens","year":"2015","unstructured":"Mertens JF, Sorin S, Zamir S (2015) Repeated games, vol 55. Cambridge University Press, Cambridge"},{"key":"364_CR24","volume-title":"Game theory for political scientists","author":"JD Morrow","year":"1994","unstructured":"Morrow JD (1994) Game theory for political scientists. Princeton University Press, Princeton"},{"key":"364_CR25","doi-asserted-by":"crossref","unstructured":"Nayyar A, Gupta A (2017) Information structures and values in zero-sum stochastic games. In: American control conference (ACC), 2017, pp. 3658\u20133663. IEEE","DOI":"10.23919\/ACC.2017.7963513"},{"issue":"3","key":"364_CR26","doi-asserted-by":"publisher","first-page":"555","DOI":"10.1109\/TAC.2013.2283743","volume":"59","author":"A Nayyar","year":"2014","unstructured":"Nayyar A, Gupta A, Langbort C, Ba\u015far T (2014) Common information based Markov perfect equilibria for stochastic games with asymmetric information: finite games. IEEE Trans Autom Control 59(3):555\u2013570","journal-title":"IEEE Trans Autom Control"},{"issue":"7","key":"364_CR27","doi-asserted-by":"publisher","first-page":"1606","DOI":"10.1109\/TAC.2010.2089381","volume":"56","author":"A Nayyar","year":"2010","unstructured":"Nayyar A, Mahajan A, Teneketzis D (2010) Optimal control strategies in delayed sharing information structures. IEEE Trans Autom Control 56(7):1606\u20131620","journal-title":"IEEE Trans Autom Control"},{"issue":"7","key":"364_CR28","doi-asserted-by":"publisher","first-page":"1644","DOI":"10.1109\/TAC.2013.2239000","volume":"58","author":"A Nayyar","year":"2013","unstructured":"Nayyar A, Mahajan A, Teneketzis D (2013) Decentralized stochastic control with partial history sharing: a common information approach. IEEE Trans Autom Control 58(7):1644\u20131658","journal-title":"IEEE Trans Autom Control"},{"key":"364_CR29","volume-title":"A course in game theory","author":"MJ Osborne","year":"1994","unstructured":"Osborne MJ, Rubinstein A (1994) A course in game theory. MIT Press, Cambridge"},{"issue":"1","key":"364_CR30","doi-asserted-by":"publisher","first-page":"222","DOI":"10.1109\/TAC.2016.2544936","volume":"62","author":"Y Ouyang","year":"2017","unstructured":"Ouyang Y, Tavafoghi H, Teneketzis D (2017) Dynamic games with asymmetric information: common information based perfect bayesian equilibria and sequential decomposition. IEEE Trans Autom Control 62(1):222\u2013237","journal-title":"IEEE Trans Autom Control"},{"issue":"2","key":"364_CR31","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1007\/BF01769767","volume":"9","author":"JP Ponssard","year":"1980","unstructured":"Ponssard JP, Sorin S (1980) The lp formulation of finite zero-sum games with incomplete information. Int J Game Theory 9(2):99\u2013105","journal-title":"Int J Game Theory"},{"issue":"3","key":"364_CR32","doi-asserted-by":"publisher","first-page":"490","DOI":"10.1287\/moor.1060.0199","volume":"31","author":"J Renault","year":"2006","unstructured":"Renault J (2006) The value of Markov chain games with lack of information on one side. Math Oper Res 31(3):490\u2013512","journal-title":"Math Oper Res"},{"issue":"1","key":"364_CR33","doi-asserted-by":"publisher","first-page":"154","DOI":"10.1287\/moor.1110.0518","volume":"37","author":"J Renault","year":"2012","unstructured":"Renault J (2012) The value of repeated games with an informed controller. Math Oper Res 37(1):154\u2013179","journal-title":"Math Oper Res"},{"issue":"4","key":"364_CR34","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1007\/s001820050091","volume":"27","author":"D Rosenberg","year":"1998","unstructured":"Rosenberg D (1998) Duality and markovian strategies. Int J Game Theory 27(4):577\u2013597","journal-title":"Int J Game Theory"},{"issue":"1","key":"364_CR35","doi-asserted-by":"publisher","first-page":"86","DOI":"10.1137\/S0363012902407107","volume":"43","author":"D Rosenberg","year":"2004","unstructured":"Rosenberg D, Solan E, Vieille N (2004) Stochastic games with a single controller and incomplete information. SIAM J Control Optim 43(1):86\u2013110","journal-title":"SIAM J Control Optim"},{"key":"364_CR36","volume-title":"Principles of mathematical analysis","author":"W Rudin","year":"1964","unstructured":"Rudin W et al (1964) Principles of mathematical analysis, vol 3. McGraw-hill, New York"},{"key":"364_CR37","unstructured":"Sandell NR Jr (1974) Control of Finite-State, Finite-Memory Stochastic Systems, Massachusetts Institute of Technology, PhD Thesis. https:\/\/ntrs.nasa.gov\/archive\/nasa\/casi.ntrs.nasa.gov\/19740018646.pdf"},{"issue":"1","key":"364_CR38","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1109\/TCNS.2016.2598427","volume":"4","author":"D Shelar","year":"2017","unstructured":"Shelar D, Amin S (2017) Security assessment of electricity distribution networks under der node compromises. IEEE Trans Control Netw Syst 4(1):23\u201336. https:\/\/doi.org\/10.1109\/TCNS.2016.2598427","journal-title":"IEEE Trans Control Netw Syst"},{"issue":"9","key":"364_CR39","doi-asserted-by":"publisher","first-page":"4017","DOI":"10.1109\/TIT.2006.880067","volume":"52","author":"D Teneketzis","year":"2006","unstructured":"Teneketzis D (2006) On the structure of optimal real-time encoders and decoders in noisy communication. IEEE Trans Inf Theory 52(9):4017\u20134035","journal-title":"IEEE Trans Inf Theory"},{"issue":"1","key":"364_CR40","doi-asserted-by":"publisher","first-page":"78","DOI":"10.1109\/TAC.2018.2809863","volume":"64","author":"D Vasal","year":"2019","unstructured":"Vasal D, Sinha A, Anastasopoulos A (2019) A systematic process for evaluating structured perfect bayesian equilibria in dynamic games with asymmetric information. IEEE Trans Autom Control 64(1):78\u201393","journal-title":"IEEE Trans Autom Control"},{"issue":"2","key":"364_CR41","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1287\/opre.43.2.243","volume":"43","author":"A Washburn","year":"1995","unstructured":"Washburn A, Wood K (1995) Two-person zero-sum games for network interdiction. Oper Res 43(2):243\u2013251","journal-title":"Oper Res"},{"key":"364_CR42","first-page":"1","volume":"9","author":"M Wu","year":"2018","unstructured":"Wu M, Amin S (2018) Securing infrastructure facilities: When does proactive defense help? Dyn Games Appl 9:1\u201342","journal-title":"Dyn Games Appl"},{"key":"364_CR43","unstructured":"Zheng J, Casta\u00f1\u00f3n DA (2013) Decomposition techniques for Markov zero-sum games with nested information. In: 52nd IEEE conference on decision and control, pp. 574\u2013581. IEEE"},{"issue":"1","key":"364_CR44","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1109\/MCS.2014.2364710","volume":"35","author":"Q Zhu","year":"2015","unstructured":"Zhu Q, Basar T (2015) Game-theoretic methods for robustness, security, and resilience of cyberphysical control systems: games-in-games principle for optimal cross-layer resilient control systems. IEEE Control Syst Mag 35(1):46\u201365","journal-title":"IEEE Control Syst Mag"}],"updated-by":[{"DOI":"10.1007\/s13235-020-00366-9","type":"correction","label":"Correction","source":"publisher","updated":{"date-parts":[[2020,9,16]],"date-time":"2020-09-16T00:00:00Z","timestamp":1600214400000}}],"container-title":["Dynamic Games and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13235-020-00364-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s13235-020-00364-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13235-020-00364-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,30]],"date-time":"2021-07-30T17:46:31Z","timestamp":1627667191000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s13235-020-00364-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,7,27]]},"references-count":44,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,6]]}},"alternative-id":["364"],"URL":"https:\/\/doi.org\/10.1007\/s13235-020-00364-x","relation":{},"ISSN":["2153-0785","2153-0793"],"issn-type":[{"value":"2153-0785","type":"print"},{"value":"2153-0793","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,7,27]]},"assertion":[{"value":"27 July 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 September 2020","order":2,"name":"change_date","label":"Change Date","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"Correction","order":3,"name":"change_type","label":"Change Type","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"A Correction to this paper has been published:","order":4,"name":"change_details","label":"Change Details","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"https:\/\/doi.org\/10.1007\/s13235-020-00366-9","URL":"https:\/\/doi.org\/10.1007\/s13235-020-00366-9","order":5,"name":"change_details","label":"Change Details","group":{"name":"ArticleHistory","label":"Article History"}}]}}