{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T23:22:47Z","timestamp":1773616967003,"version":"3.50.1"},"reference-count":30,"publisher":"Pleiades Publishing Ltd","issue":"6","license":[{"start":{"date-parts":[[2021,6,1]],"date-time":"2021-06-01T00:00:00Z","timestamp":1622505600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,6,1]],"date-time":"2021-06-01T00:00:00Z","timestamp":1622505600000},"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":["Autom Remote Control"],"published-print":{"date-parts":[[2021,6]]},"DOI":"10.1134\/s0005117921060072","type":"journal-article","created":{"date-parts":[[2021,7,12]],"date-time":"2021-07-12T05:03:02Z","timestamp":1626066182000},"page":"1065-1082","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Stochastic Model of Network Formation\nwith Asymmetric Players"],"prefix":"10.1134","volume":"82","author":[{"family":"Ping Sun","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"E. M.","family":"Parilina","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"137","published-online":{"date-parts":[[2021,7,12]]},"reference":[{"issue":"9","key":"2144_CR1","doi-asserted-by":"publisher","first-page":"1680","DOI":"10.1134\/S0005117917090120","volume":"78","author":"E.V. Gromova","year":"2017","unstructured":"Gromova, E.V. and Petrosyan, L.A., On an approach to constructing a\ncharacteristic function in cooperative differential games, Autom.\nRemote Control, 2017, vol. 78, no. 9, pp. 1680\u20131692.","journal-title":"Autom. Remote Control"},{"key":"2144_CR2","volume-title":"Setevye igry (Network Games)","author":"V.V. Mazalov","year":"2018","unstructured":"Mazalov, V.V. and Chirkova, Yu.V., Setevye igry\n(Network Games), St. Petersburg: Lan\u2019, 2018."},{"key":"2144_CR3","unstructured":"Petrosyan, L.A., Stability of solutions in differential games with many players,\nVestn. Leningr. Univ. Ser. 1: Mat. Mekh. Astron.,\n1977, no. 19, pp. 46\u201352."},{"key":"2144_CR4","unstructured":"Petrosyan, L.A. and Danilov, N.N., Stability of solutions in nonzero-sum\ndifferential games with transferable payoffs, Vestn. Leningr. Univ.\nSer. 1: Mat. Mekh. Astron., 1979, no. 1, pp. 52\u201359."},{"issue":"8","key":"2144_CR5","doi-asserted-by":"publisher","first-page":"1532","DOI":"10.1134\/S0005117914080165","volume":"75","author":"L.A. Petrosyan","year":"2014","unstructured":"Petrosyan, L.A. and Sedakov, A.A., Multistage network games with perfect\ninformation, Autom. Remote Control, 2014, vol. 75,\nno. 8, pp. 1532\u20131540.","journal-title":"Autom. Remote Control"},{"issue":"10","key":"2144_CR6","doi-asserted-by":"publisher","first-page":"1855","DOI":"10.1134\/S000511791610012X","volume":"77","author":"L.A. Petrosyan","year":"2016","unstructured":"Petrosyan, L.A., Sedakov, A.A., and Bochkarev, A.O., Two-stage network\ngames, Autom. Remote Control, 2016, vol. 77, no. 10,\npp. 1855\u20131866.","journal-title":"Autom. Remote Control"},{"key":"2144_CR7","doi-asserted-by":"crossref","unstructured":"Aumann, R.J. and Myerson, R.B., Endogenous formation of links between\nplayers and of coalitions: an application of the Shapley value, in The\nShapley Value, 1988, pp. 175\u2013191.","DOI":"10.1017\/CBO9780511528446.013"},{"issue":"3","key":"2144_CR8","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1090\/S0002-9904-1960-10418-1","volume":"66","author":"R.J. Aumann","year":"1960","unstructured":"Aumann, R.J. and Peleg, B., Von Neumann\u2013Morgenstern solutions to\ncooperative games without side payments, Bull. Am. Math.\nSoc., 1960, vol. 66, no. 3, pp. 173\u2013179.","journal-title":"Bull. Am. Math. Soc."},{"key":"2144_CR9","doi-asserted-by":"crossref","unstructured":"Avrachenkov, K.E., Kondratev, A.Y., Mazalov, V.V., and Rubanov, D.G.,\nNetwork partitioning algorithms as cooperative games, Comput. Soc.\nNetworks, 2018, vol. 5, no. 1, article ID 11.","DOI":"10.1186\/s40649-018-0059-5"},{"issue":"5","key":"2144_CR10","doi-asserted-by":"publisher","first-page":"1181","DOI":"10.1111\/1468-0262.00155","volume":"68","author":"V. Bala","year":"2000","unstructured":"Bala, V. and Goyal, S., A noncooperative model of network formation,\nEconometrica, 2000, vol. 68, no. 5,\npp. 1181\u20131229.","journal-title":"Econometrica"},{"key":"2144_CR11","doi-asserted-by":"crossref","unstructured":"Chander, P. and Tulkens, H., The core of an economy with multilateral\nenvironmental externalities, in Public Goods, Environmental\nExternalities, and Fiscal Competition, Boston, MA: Springer, 2006,\npp. 153\u2013175.","DOI":"10.1007\/978-0-387-25534-7_10"},{"key":"2144_CR12","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1007\/BF01719767","volume":"13","author":"T.S.H. Driessen","year":"1991","unstructured":"Driessen, T.S.H. and Funaki, Y., Coincidence of and collinearity between\ngame theoretic solutions, OR Spektrum, 1991, vol. 13,\npp. 15\u201330.","journal-title":"OR Spektrum"},{"issue":"3","key":"2144_CR13","doi-asserted-by":"publisher","first-page":"680","DOI":"10.1007\/s11424-016-5164-7","volume":"30","author":"H. Gao","year":"2017","unstructured":"Gao, H., Petrosyan, L., Qiao, H., and Sedakov, A., Cooperation in two-stage\ngames on undirected networks, J. Syst. Sci. Complexity,\n2017, vol. 30, no. 3, pp. 680\u2013693.","journal-title":"J. Syst. Sci. Complexity"},{"key":"2144_CR14","doi-asserted-by":"crossref","unstructured":"Gao, H., Petrosyan, L., and Sedakov, A., Dynamic Shapley value for repeated\nnetwork games with shock, 27th Chin. Control Decis. Conf. (2015\nCCDC) (2015), pp. 6449\u20136455.","DOI":"10.1109\/CCDC.2015.7161980"},{"key":"2144_CR15","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1016\/j.dam.2018.08.008","volume":"255","author":"E.V. Gromova","year":"2019","unstructured":"Gromova, E.V. and Plekhanova, T.M., On the regularization of a cooperative\nsolution in a multistage game with random time horizon, Discrete\nAppl. Math., 2019, vol. 255, pp. 40\u201355.","journal-title":"Discrete Appl. Math."},{"key":"2144_CR16","doi-asserted-by":"crossref","unstructured":"Haurie, A. and Zaccour, G., Differential game model of power exchange\nbetween interconnected utilities, Proc. IEEE Conf. Decis.\nControl (1986), pp. 262\u2013266.","DOI":"10.1109\/CDC.1986.267242"},{"issue":"2","key":"2144_CR17","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1016\/S0899-8256(02)00504-3","volume":"41","author":"M.O. Jackson","year":"2002","unstructured":"Jackson, M.O. and Watts, A., On the formation of interaction networks in\nsocial coordination games, Games Econ. Behav., 2002,\nvol. 41, no. 2, pp. 265\u2013291.","journal-title":"Games Econ. Behav."},{"issue":"3","key":"2144_CR18","doi-asserted-by":"publisher","first-page":"695","DOI":"10.3982\/TE1348","volume":"9","author":"M.D. K\u00f6nig","year":"2014","unstructured":"K\u00f6nig, M.D., Tessone, C.J., and Zenou, Y., Nestedness in networks:\na theoretical model and some applications, Theor.\nEcon., 2014, vol. 9, no. 3, pp. 695\u2013752.","journal-title":"Theor. Econ."},{"key":"2144_CR19","doi-asserted-by":"crossref","unstructured":"Kuzyutin, D., Gromova, E., and Smirnova, N., On the cooperative behavior in\nmultistage multicriteria game with chance moves, in Mathematical\nOptimization Theory and Operations Research. MOTOR 2020. Lecture Notes in Computer\nScience, vol 12095, Kononov, A., Khachay, M., Kalyagin, V., and Pardalos, P., Eds.,\nCham: Springer, 2020, pp. 184\u2013199.","DOI":"10.1007\/978-3-030-49988-4_13"},{"key":"2144_CR20","volume-title":"Theory of Games and Economic Behavior","author":"J. Von Neumann","year":"1947","unstructured":"Von Neumann, J. and Morgenstern, O., Theory of\nGames and Economic Behavior, Princeton, NJ: Princeton Univ.\nPress, 1947."},{"key":"2144_CR21","unstructured":"Parilina, E., Solutions of cooperative stochastic games with transferable\npayoffs, Doctoral (Phys.-Math.) Dissertation,\n2018."},{"issue":"0","key":"2144_CR22","first-page":"129","volume":"11","author":"E.M. Parilina","year":"2018","unstructured":"Parilina, E.M., A survey on cooperative stochastic games with finite and\ninfinite duration, Contrib. Game Theory Manage., 2018,\nvol. 11, no. 0, pp. 129\u2013195.","journal-title":"Contrib. Game Theory Manage."},{"key":"2144_CR23","doi-asserted-by":"crossref","unstructured":"Parilina, E. and Petrosyan, L., On a simplified method of defining\ncharacteristic function in stochastic games, Mathematics,\n2020, vol. 8, no. 7, article ID 1135.","DOI":"10.3390\/math8071135"},{"issue":"4","key":"2144_CR24","doi-asserted-by":"publisher","first-page":"601","DOI":"10.1007\/s11238-017-9619-7","volume":"84","author":"E.M. Parilina","year":"2018","unstructured":"Parilina, E.M. and Tampieri, A., Stability and cooperative solution in\nstochastic games, Theory Decis., 2018, vol. 84, no. 4,\npp. 601\u2013625.","journal-title":"Theory Decis."},{"key":"2144_CR25","doi-asserted-by":"publisher","first-page":"236","DOI":"10.1007\/s10957-017-1148-6","volume":"175","author":"E.M. Parilina","year":"2017","unstructured":"Parilina, E.M. and Zaccour, G., Node-consistent Shapley value for games\nplayed over event trees with random terminal time, J. Optim. Theory\nAppl., 2017, vol. 175, pp. 236\u2013254.","journal-title":"J. Optim. Theory Appl."},{"issue":"3","key":"2144_CR26","doi-asserted-by":"publisher","first-page":"381","DOI":"10.1016\/S0165-1889(01)00053-7","volume":"27","author":"L. Petrosyan","year":"2003","unstructured":"Petrosyan, L. and Zaccour, G., Time-consistent Shapley value allocation of\npollution cost reduction, J. Econ. Dyn. Control, 2003,\nvol. 27, no. 3, pp. 381\u2013398.","journal-title":"J. Econ. Dyn. Control"},{"key":"2144_CR27","doi-asserted-by":"crossref","unstructured":"Pin, P. and Rogers, B., Stochastic network formation and homophily, in\nOxford Handbook on the Economics of Networks,\nBramoull\u00e9, Y., Galeotti, A., and Rogers, B., Eds., Oxford: Oxford Univ.\nPress, 2016.","DOI":"10.1093\/oxfordhb\/9780199948277.013.6"},{"key":"2144_CR28","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1016\/j.mathsocsci.2016.03.008","volume":"82","author":"P.V. Reddy","year":"2016","unstructured":"Reddy, P.V. and Zaccour, G., A friendly computable characteristic function,\nMath. Soc. Sci., 2016, vol. 82,\npp. 18\u201325.","journal-title":"Math. Soc. Sci."},{"issue":"10","key":"2144_CR29","doi-asserted-by":"publisher","first-page":"1095","DOI":"10.1073\/pnas.39.10.1953","volume":"39","author":"L.S. Shapley","year":"1953","unstructured":"Shapley, L.S., Stochastic games, Proc. Natl.\nAcad. Sci., 1953, vol. 39, no. 10, pp. 1095\u20131100.","journal-title":"Proc. Natl. Acad. Sci."},{"key":"2144_CR30","first-page":"316","volume":"XII","author":"P. Sun","year":"2019","unstructured":"Sun, P. and Parilina, E., Two-stage network formation game with\nheterogeneous players and private information, Contrib. Game\nTheory Manage., 2019, vol. XII, pp. 316\u2013324.","journal-title":"Contrib. Game Theory Manage."}],"container-title":["Automation and Remote Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117921060072.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1134\/S0005117921060072","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117921060072.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T22:30:26Z","timestamp":1773613826000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1134\/S0005117921060072"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6]]},"references-count":30,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2021,6]]}},"alternative-id":["2144"],"URL":"https:\/\/doi.org\/10.1134\/s0005117921060072","relation":{},"ISSN":["0005-1179","1608-3032"],"issn-type":[{"value":"0005-1179","type":"print"},{"value":"1608-3032","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,6]]},"assertion":[{"value":"20 November 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 December 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 December 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 July 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}