{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T04:10:05Z","timestamp":1776399005337,"version":"3.51.2"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"9","license":[{"start":{"date-parts":[[2022,1,10]],"date-time":"2022-01-10T00:00:00Z","timestamp":1641772800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,1,10]],"date-time":"2022-01-10T00:00:00Z","timestamp":1641772800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2022,12]]},"DOI":"10.1007\/s11590-021-01847-5","type":"journal-article","created":{"date-parts":[[2022,1,10]],"date-time":"2022-01-10T06:02:44Z","timestamp":1641794564000},"page":"2787-2801","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Cooperative congestion games: existence of a Nash-stable coalition structure"],"prefix":"10.1007","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4682-1923","authenticated-orcid":false,"given":"Vasily V.","family":"Gusev","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,1,10]]},"reference":[{"issue":"17","key":"1847_CR1","doi-asserted-by":"publisher","first-page":"1552","DOI":"10.1016\/j.tcs.2008.12.035","volume":"410","author":"H Ackermann","year":"2009","unstructured":"Ackermann, H., R\u00f6glin, H., V\u00f6cking, B.: Pure Nash equilibria in player-specific and weighted congestion games. Theoret. Comput. Sci. 410(17), 1552\u20131563 (2009)","journal-title":"Theoret. Comput. Sci."},{"issue":"5","key":"1847_CR2","doi-asserted-by":"publisher","first-page":"1211","DOI":"10.1137\/090748986","volume":"40","author":"S Aland","year":"2011","unstructured":"Aland, S., Dumrauf, D., Gairing, M., Monien, B., Schoppmann, F.: Exact price of anarchy for polynomial congestion games. SIAM J. Comput. 40(5), 1211\u20131233 (2011)","journal-title":"SIAM J. Comput."},{"key":"1847_CR3","first-page":"317","volume":"19","author":"JF Banzhaf","year":"1965","unstructured":"Banzhaf, J.F.: Weighted voting does not work: a mathematical analysis. Rutgers Law Rev. 19, 317\u2013343 (1965)","journal-title":"Rutgers Law Rev."},{"issue":"4","key":"1847_CR4","doi-asserted-by":"publisher","first-page":"619","DOI":"10.1007\/s11590-010-0226-6","volume":"4","author":"LS Buriol","year":"2010","unstructured":"Buriol, L.S., Hirsch, M.J., Pardalos, P.M., Querido, T., Resende, M.G., Ritt, M.: A biased random-key genetic algorithm for road congestion minimization. Optimiz. Lett. 4(4), 619\u2013633 (2010)","journal-title":"Optimiz. Lett."},{"issue":"5","key":"1847_CR5","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1016\/S0167-6377(03)00030-0","volume":"31","author":"CK Chau","year":"2003","unstructured":"Chau, C.K., Sim, K.M.: The price of anarchy for non-atomic congestion games with symmetric cost maps and elastic demands. Oper. Res. Lett. 31(5), 327\u2013334 (2003)","journal-title":"Oper. Res. Lett."},{"issue":"2","key":"1847_CR6","doi-asserted-by":"publisher","first-page":"457","DOI":"10.1016\/j.geb.2008.01.001","volume":"64","author":"JR Correa","year":"2008","unstructured":"Correa, J.R., Schulz, A.S., Stier-Moses, N.E.: A geometric approach to the price of anarchy in nonatomic congestion games. Games Econom. Behav. 64(2), 457\u2013469 (2008)","journal-title":"Games Econom. Behav."},{"issue":"5","key":"1847_CR7","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1007\/s00446-011-0145-5","volume":"24","author":"A Fanelli","year":"2011","unstructured":"Fanelli, A., Moscardelli, L.: On best response dynamics in weighted congestion games with polynomial delays. Distrib. Comput. 24(5), 245\u2013254 (2011)","journal-title":"Distrib. Comput."},{"issue":"3","key":"1847_CR8","doi-asserted-by":"publisher","first-page":"1180","DOI":"10.1016\/j.ejor.2021.03.066","volume":"295","author":"VV Gusev","year":"2021","unstructured":"Gusev, V.V.: Nash-stable coalition partition and potential functions in games with coalition structure. Eur. J. Oper. Res. 295(3), 1180\u20131188 (2021)","journal-title":"Eur. J. Oper. Res."},{"issue":"6","key":"1847_CR9","doi-asserted-by":"publisher","first-page":"478","DOI":"10.1016\/j.orl.2019.08.006","volume":"47","author":"VV Gusev","year":"2019","unstructured":"Gusev, V.V., Mazalov, V.V.: Potential functions for finding stable coalition structures. Oper. Res. Lett. 47(6), 478\u2013482 (2019)","journal-title":"Oper. Res. Lett."},{"issue":"1","key":"1847_CR10","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1007\/s00224-011-9315-x","volume":"49","author":"T Harks","year":"2011","unstructured":"Harks, T., Klimm, M., M\u00f6hring, R.H.: Characterizing the existence of potential functions in weighted congestion games. Theory of Comput. Syst. 49(1), 46\u201370 (2011)","journal-title":"Theory of Comput. Syst."},{"key":"1847_CR11","doi-asserted-by":"crossref","unstructured":"Harsanyi, J.C.: A bargaining model for the cooperative n-person game, in Tucker, A.W. and Luce, D.R. (Eds.) Contributions to the theory of games (Vol. IV), Annals of Mathematics Study 40, Princeton University Press, 325-355 (1959)","DOI":"10.1515\/9781400882168-019"},{"issue":"1\u20132","key":"1847_CR12","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1006\/game.1997.0592","volume":"21","author":"R Holzman","year":"1997","unstructured":"Holzman, R., Law-Yone, N.: Strong equilibrium in congestion games. Games Econom. Behav. 21(1\u20132), 85\u2013101 (1997)","journal-title":"Games Econom. Behav."},{"issue":"1","key":"1847_CR13","doi-asserted-by":"publisher","first-page":"124","DOI":"10.1006\/game.1996.0044","volume":"14","author":"D Monderer","year":"1996","unstructured":"Monderer, D., Shapley, L.S.: Potential games. Games Econom. Behav. 14(1), 124\u2013143 (1996)","journal-title":"Games Econom. Behav."},{"issue":"1","key":"1847_CR14","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1006\/game.1996.0027","volume":"13","author":"I Milchtaich","year":"1996","unstructured":"Milchtaich, I.: Congestion games with player-specific payoff functions. Games Econom. Behav. 13(1), 111\u2013124 (1996)","journal-title":"Games Econom. Behav."},{"issue":"1","key":"1847_CR15","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1007\/BF01737559","volume":"2","author":"RW Rosenthal","year":"1973","unstructured":"Rosenthal, R.W.: A class of games possessing pure-strategy Nash equilibria. Internat. J. Game Theory 2(1), 65\u201367 (1973)","journal-title":"Internat. J. Game Theory"},{"key":"1847_CR16","doi-asserted-by":"crossref","unstructured":"Shapley, L.S.(1953) A value for n-person games, Annals of Mathematics Study, Princeton: Princeton University Press, (28) 307-317","DOI":"10.1515\/9781400881970-018"},{"issue":"4","key":"1847_CR17","doi-asserted-by":"publisher","first-page":"567","DOI":"10.1007\/s003550050125","volume":"15","author":"R Van den Brink","year":"1998","unstructured":"Van den Brink, R., Van der Laan, G.: Axiomatizations of the normalized Banzhaf value and the Shapley value. Soc. Choice Welfare 15(4), 567\u2013582 (1998)","journal-title":"Soc. Choice Welfare"},{"issue":"4","key":"1847_CR18","doi-asserted-by":"publisher","first-page":"467","DOI":"10.1007\/BF01935053","volume":"26","author":"DY Yeh","year":"1986","unstructured":"Yeh, D.Y.: A dynamic programming approach to the complete set partitioning problem. BIT Numer. Math. 26(4), 467\u2013474 (1986)","journal-title":"BIT Numer. Math."}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-021-01847-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11590-021-01847-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-021-01847-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,10,27]],"date-time":"2022-10-27T13:02:44Z","timestamp":1666875764000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11590-021-01847-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,1,10]]},"references-count":18,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2022,12]]}},"alternative-id":["1847"],"URL":"https:\/\/doi.org\/10.1007\/s11590-021-01847-5","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"value":"1862-4472","type":"print"},{"value":"1862-4480","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,1,10]]},"assertion":[{"value":"3 August 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 December 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 January 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}