{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,12,13]],"date-time":"2023-12-13T09:01:14Z","timestamp":1702458074703},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T00:00:00Z","timestamp":1669852800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T00:00:00Z","timestamp":1669852800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Syst Sci Complex"],"published-print":{"date-parts":[[2022,12]]},"DOI":"10.1007\/s11424-022-1019-6","type":"journal-article","created":{"date-parts":[[2022,12,28]],"date-time":"2022-12-28T09:02:41Z","timestamp":1672218161000},"page":"2208-2222","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Orthogonal Decomposition of Incomplete-Profile Finite Game Space"],"prefix":"10.1007","volume":"35","author":[{"given":"Xiaoyan","family":"Dai","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinhuan","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yong","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,12,28]]},"reference":[{"key":"1019_CR1","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/j.jtbi.2018.01.016","volume":"442","author":"O Aydogmus","year":"2018","unstructured":"Aydogmus O, Discovering the effect of nonlocal payoff calculation on the stabilty of ESS: Spatial patterns of Hawk-Dove game in metapopulations, Journal of Theortical Biology, 2018, 442: 87\u201397.","journal-title":"Journal of Theortical Biology"},{"key":"1019_CR2","doi-asserted-by":"publisher","first-page":"94","DOI":"10.1016\/j.physa.2017.07.029","volume":"489","author":"A H Samadi","year":"2018","unstructured":"Samadi A H, Montakhab A, and Marzban H, Quantum Barro-Gordon game in monetary economics, Physica A-Statistical Mechanics and Its Applications, 2018, 489: 94\u2013101.","journal-title":"Physica A-Statistical Mechanics and Its Applications"},{"issue":"8","key":"1019_CR3","doi-asserted-by":"publisher","first-page":"7625","DOI":"10.1109\/JIOT.2020.2988304","volume":"7","author":"A Taghizadeh","year":"2020","unstructured":"Taghizadeh A, Kebriaei H, and Niyato D, Mean field game for equilibrium analysis of mining computational power in blockchains, IEEE Internet of Things Journal, 2020, 7(8): 7625\u20137635.","journal-title":"IEEE Internet of Things Journal"},{"issue":"2","key":"1019_CR4","doi-asserted-by":"publisher","first-page":"862","DOI":"10.1016\/j.jfranklin.2017.11.009","volume":"355","author":"X Zhang","year":"2018","unstructured":"Zhang X, Hao Y Q, and Cheng D Z, Incomplete-profile potential games, Journal of the Franklin Institute-Engineering and Applied Mathematics, 2018, 355(2): 862\u2013877.","journal-title":"Journal of the Franklin Institute-Engineering and Applied Mathematics"},{"issue":"6","key":"1019_CR5","doi-asserted-by":"publisher","first-page":"2551","DOI":"10.1002\/asjc.2126","volume":"21","author":"L Deng","year":"2019","unstructured":"Deng L, Fu S H, and Zhu P Y, State feedback control design to avoid players going bankrupt, Asian Journal of Control, 2019, 21(6): 2551\u20132558.","journal-title":"Asian Journal of Control"},{"issue":"10","key":"1019_CR6","doi-asserted-by":"publisher","first-page":"1265","DOI":"10.1093\/bioinformatics\/btm093","volume":"23","author":"Y F Xiao","year":"2007","unstructured":"Xiao Y F and Dougherty E R, The impact of function perturbations in Boolean networks, Bioinformatics, 2007, 23(10): 1265\u20131273.","journal-title":"Bioinformatics"},{"issue":"5","key":"1019_CR7","doi-asserted-by":"publisher","first-page":"1688","DOI":"10.1002\/asjc.1234","volume":"8","author":"H T Li","year":"2016","unstructured":"Li H T and Wang Y Z, Minimum-time state feedback stabilization of constrained Boolean control networks, Asian Journal of Control, 2016, 8(5): 1688\u20131697.","journal-title":"Asian Journal of Control"},{"issue":"1","key":"1019_CR8","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1007\/BF01737559","volume":"2","author":"R W Rosenthal","year":"1973","unstructured":"Rosenthal R W, A class of games possessing pure-strategy Nash equilibria, International Journal of Game Theory, 1973, 2(1): 65\u201367.","journal-title":"International Journal of Game Theory"},{"issue":"1","key":"1019_CR9","doi-asserted-by":"publisher","first-page":"124","DOI":"10.1006\/game.1996.0044","volume":"14","author":"D Monderer","year":"1996","unstructured":"Monderer D and Shapley L S, Potential games, Games and Economic Behavior, 1996, 14(1): 124\u2013143.","journal-title":"Games and Economic Behavior"},{"issue":"6","key":"1019_CR10","doi-asserted-by":"publisher","first-page":"1393","DOI":"10.1109\/TSMCB.2009.2017273","volume":"39","author":"J R Marden","year":"2009","unstructured":"Marden J R, Arslan G, and Shamma J S, Cooperative control and potential games, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetic, 2009, 39(6): 1393\u20131407.","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetic"},{"issue":"1","key":"1019_CR11","first-page":"309","volume":"4","author":"A Y Yazici\u01d2glu","year":"2013","unstructured":"Yazici\u01d2glu A Y, Egerstedt M, and Shamma J S, A game theoretic approach to distributed coverage of graphs by heterogeneous mobile agents, Estimation and Control of Networked Systems, 2013, 4(1): 309\u2013315.","journal-title":"Estimation and Control of Networked Systems"},{"key":"1019_CR12","doi-asserted-by":"publisher","first-page":"991","DOI":"10.1016\/j.apenergy.2017.08.123","volume":"206","author":"Y L Liang","year":"2017","unstructured":"Liang Y L, Liu F, and Wang C, Distributed demand-side energy management scheme in residential smart grids: An ordinal state-based potential game approach, Applied Energy, 2017, 206: 991\u20131008.","journal-title":"Applied Energy"},{"issue":"13","key":"1019_CR13","doi-asserted-by":"publisher","first-page":"2295","DOI":"10.1016\/j.comnet.2005.09.010","volume":"50","author":"T Heikkinen","year":"2006","unstructured":"Heikkinen T, A potential game approach to distributed power control and scheduling, Computer Networks, 2006, 50(13): 2295\u20132311.","journal-title":"Computer Networks"},{"issue":"12","key":"1019_CR14","doi-asserted-by":"publisher","first-page":"3075","DOI":"10.1016\/j.automatica.2012.08.037","volume":"48","author":"J R Marden","year":"2012","unstructured":"Marden J R, State based potential games, Automatica, 2012, 48(12): 3075\u20133088.","journal-title":"Automatica"},{"key":"1019_CR15","doi-asserted-by":"crossref","unstructured":"Wang X, Xiao N, Wongpiromsarn T, et al., Distributed consensus in noncooperative congestion games: An application to road pricing, Proceedings of the 10th IEEE International Conference on Control and Automation, 2013, 1668\u20131673.","DOI":"10.1109\/ICCA.2013.6565153"},{"issue":"3","key":"1019_CR16","doi-asserted-by":"publisher","first-page":"474","DOI":"10.1287\/moor.1110.0500","volume":"36","author":"O Candogan","year":"2011","unstructured":"Candogan O, Menache I, and Ozdaglar A, Flows and decompositions of games: Harmonic and potential games, Mathematics of Operations Research, 2011, 36(3): 474\u2013503.","journal-title":"Mathematics of Operations Research"},{"issue":"11","key":"1019_CR17","doi-asserted-by":"publisher","first-page":"3651","DOI":"10.1109\/TAC.2016.2525936","volume":"61","author":"D Z Cheng","year":"2016","unstructured":"Cheng D Z, Liu T, Zhang K Z, et al., On decomposed subspaces of finite games, IEEE Transactions on Automatic Control, 2016, 61(11): 3651\u20133656.","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"13","key":"1019_CR18","doi-asserted-by":"publisher","first-page":"2161","DOI":"10.1049\/iet-cta.2016.1454","volume":"11","author":"Y H Wang","year":"2017","unstructured":"Wang Y H, Liu T, and Cheng D Z, From weighted potential game to weighted harmonic game, IET Control Theory & Applications, 2017, 11(13): 2161\u20132169.","journal-title":"IET Control Theory & Applications"},{"key":"1019_CR19","doi-asserted-by":"publisher","first-page":"67408","DOI":"10.1109\/ACCESS.2020.2986076","volume":"8","author":"Y N Pan","year":"2020","unstructured":"Pan Y N, Fu S H, and Zhao J L, Weighted potential incomplete-profile games, IEEE Access, 2020, 8: 67408\u201367415.","journal-title":"IEEE Access"},{"key":"1019_CR20","doi-asserted-by":"publisher","DOI":"10.1142\/8323","volume-title":"An Introduction to Semi-Tensor Product of Matrices and Its Applications","author":"D Z Cheng","year":"2012","unstructured":"Cheng D Z, Qi H S, and Zhao Y, An Introduction to Semi-Tensor Product of Matrices and Its Applications, World Scientific, Singapore, 2012."},{"issue":"2","key":"1019_CR21","first-page":"790","volume":"64","author":"M Meng","year":"2019","unstructured":"Meng M, Lam J, and Feng J E, Stability and stabilization of Boolean networks with stochastic delays, IEEE Transactions on Automatic Control, 2019, 64(2): 790\u2013796.","journal-title":"IEEE Transactions on Automatic Control"},{"key":"1019_CR22","doi-asserted-by":"publisher","first-page":"392","DOI":"10.1016\/j.automatica.2016.01.075","volume":"68","author":"H T Li","year":"2016","unstructured":"Li H T, Xie L H, and Wang Y Z, On robust control invariance of Boolean control networks, Automatica, 2016, 68: 392\u2013396.","journal-title":"Automatica"},{"key":"1019_CR23","doi-asserted-by":"publisher","first-page":"96","DOI":"10.1016\/j.ins.2018.12.087","volume":"483","author":"S Y Zhu","year":"2019","unstructured":"Zhu S Y, Lu J Q, Liu Y, et al., Output tracking of probabilistic Boolean networks by output feedback control, Information Sciences, 2019, 483: 96\u2013105.","journal-title":"Information Sciences"},{"issue":"3","key":"1019_CR24","doi-asserted-by":"publisher","first-page":"602","DOI":"10.1007\/s11424-016-4192-7","volume":"29","author":"H S Qi","year":"2016","unstructured":"Qi H S, Wang Y H, Liu T, et al., Vector space structure of finite evoulutionary games and its application to strategy profile convergence, Journal of Systems Science & Complexity, 2016, 29(3): 602\u2013628.","journal-title":"Journal of Systems Science & Complexity"},{"key":"1019_CR25","doi-asserted-by":"publisher","first-page":"108615","DOI":"10.1016\/j.automatica.2019.108615","volume":"133","author":"C X Li","year":"2020","unstructured":"Li C X, Xing Y, and He F H, A strategic learning algorithm for state-based games, Automatica, 2020, 133: 108615.","journal-title":"Automatica"},{"key":"1019_CR26","volume-title":"Semi-Tensor Product Method in Power System Transient Analysis","author":"S W Mei","year":"2010","unstructured":"Mei S W, Liu F, and Xue A C, Semi-Tensor Product Method in Power System Transient Analysis, Tsinghua University Press, Beijing, 2010 (in Chinese)."},{"key":"1019_CR27","doi-asserted-by":"publisher","DOI":"10.1007\/978-981-13-0146-9","volume-title":"Generalized Inverses: Theory and Computations","author":"G R Wang","year":"2018","unstructured":"Wang G R, Wei Y M, and Qiao S Z, Generalized Inverses: Theory and Computations, Science Press, Beijing, 2018."},{"issue":"7","key":"1019_CR28","doi-asserted-by":"publisher","first-page":"1793","DOI":"10.1016\/j.automatica.2014.05.005","volume":"50","author":"D Z Cheng","year":"2014","unstructured":"Cheng D Z, On finite potential games, Automatica, 2014, 50(7): 1793\u20131801.","journal-title":"Automatica"}],"container-title":["Journal of Systems Science and Complexity"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-022-1019-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11424-022-1019-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-022-1019-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,12,28]],"date-time":"2022-12-28T09:24:22Z","timestamp":1672219462000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11424-022-1019-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,12]]},"references-count":28,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2022,12]]}},"alternative-id":["1019"],"URL":"https:\/\/doi.org\/10.1007\/s11424-022-1019-6","relation":{},"ISSN":["1009-6124","1559-7067"],"issn-type":[{"value":"1009-6124","type":"print"},{"value":"1559-7067","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,12]]},"assertion":[{"value":"2 February 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 June 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 December 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}