{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,2]],"date-time":"2025-12-02T06:13:27Z","timestamp":1764656007697},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2018,9,18]],"date-time":"2018-09-18T00:00:00Z","timestamp":1537228800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2019,9]]},"DOI":"10.1007\/s10479-018-3055-0","type":"journal-article","created":{"date-parts":[[2018,9,18]],"date-time":"2018-09-18T02:15:50Z","timestamp":1537236950000},"page":"111-119","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Necessary players, Myerson fairness and the equal treatment of equals"],"prefix":"10.1007","volume":"280","author":[{"given":"Florian","family":"Navarro","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,9,18]]},"reference":[{"key":"3055_CR1","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1007\/s001860000060","volume":"52","author":"E Algaba","year":"2000","unstructured":"Algaba, E., Bilbao, J. M., Borm, P., & L\u00f3pez, J. J. (2000). The position value for union stable systems. Mathematical Methods of Operations Research, 52, 221\u2013236.","journal-title":"Mathematical Methods of Operations Research"},{"key":"3055_CR2","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1007\/s001860100159","volume":"54","author":"E Algaba","year":"2001","unstructured":"Algaba, E., Bilbao, J. M., Borm, P., & L\u00f3pez, J. J. (2001). The Myerson value for union stable systems. Mathematical Methods of Operations Research, 54, 359\u2013371.","journal-title":"Mathematical Methods of Operations Research"},{"key":"3055_CR3","first-page":"465","volume":"59","author":"E Algaba","year":"2004","unstructured":"Algaba, E., Bilbao, J. M., & L\u00f3pez, J. J. (2004). The position value in communication structures. Mathematical Methods of Operations Research, 59, 465\u2013477.","journal-title":"Mathematical Methods of Operations Research"},{"key":"3055_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1142\/S0219198916500031","volume":"18","author":"S B\u00e9al","year":"2016","unstructured":"B\u00e9al, S., R\u00e9mila, E., & Solal, P. (2016). Characterizations of three linear values for TU games by associated consistency: Simple proofs using the Jordan normal form. International Game Theory Review, 18, 1\u201318.","journal-title":"International Game Theory Review"},{"key":"3055_CR5","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1007\/s11238-009-9171-1","volume":"71","author":"A Casajus","year":"2011","unstructured":"Casajus, A. (2011). Differential marginality, van den Brink fairness, and the Shapley value. Theory of Decision, 71, 163\u2013174.","journal-title":"Theory of Decision"},{"key":"3055_CR6","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1142\/S0219198910002581","volume":"12","author":"G Hamiache","year":"2010","unstructured":"Hamiache, G. (2010). A matrix approach to the associated consistency with an application to the Shapley value. International Game Theory Review, 12, 175.","journal-title":"International Game Theory Review"},{"key":"3055_CR7","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1007\/s00355-010-0519-9","volume":"38","author":"G Hamiache","year":"2012","unstructured":"Hamiache, G. (2012). A matrix approach to TU-games with coalition and communication structures. Social Choice Welfare, 38, 85\u2013100.","journal-title":"Social Choice Welfare"},{"key":"3055_CR8","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1287\/moor.2.3.225","volume":"2","author":"RB Myerson","year":"1977","unstructured":"Myerson, R. B. (1977). Graph and cooperation in games. Mathematics of Operations Research, 2, 225\u2013229.","journal-title":"Mathematics of Operations Research"},{"key":"3055_CR9","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1007\/BF01781371","volume":"9","author":"RB Myerson","year":"1980","unstructured":"Myerson, R. B. (1980). Conference structures and fair allocation rules. International Journal of Game Theory, 9, 169\u2013182.","journal-title":"International Journal of Game Theory"},{"key":"3055_CR10","unstructured":"Shapley, L. S. (1953). A value for n-person games. In Contributions to the theory of games II, Annals of mathematics studies (pp. 307\u2013317). Princeton: Princeton University Press."},{"key":"3055_CR11","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1006\/game.1996.0008","volume":"12","author":"R Brink van den","year":"1996","unstructured":"van den Brink, R., & Gilles, R. P. (1996). Axiomatizations of the conjunctive permission value for games with permission structures. Games and Economic Behaviour, 12, 113\u2013126.","journal-title":"Games and Economic Behaviour"},{"key":"3055_CR12","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1007\/s001820100079","volume":"30","author":"R Brink van den","year":"2001","unstructured":"van den Brink, R. (2001). An axiomatization of the Shapley value using a fairness property. International Journal of Game Theory, 30, 309\u2013319.","journal-title":"International Journal of Game Theory"},{"key":"3055_CR13","doi-asserted-by":"publisher","first-page":"164","DOI":"10.1016\/j.orl.2017.01.012","volume":"45","author":"W Wang","year":"2017","unstructured":"Wang, W., Sun, H., Xu, G., & Hou, D. (2017). Procedural interpretation and associated consistency for the egalitarian Shapley values. Operations Research Letters, 45, 164\u2013169.","journal-title":"Operations Research Letters"},{"key":"3055_CR14","unstructured":"Xu, G. (2008). Matrix approach to cooperative game theory. Ph.D. Thesis"},{"key":"3055_CR15","doi-asserted-by":"publisher","first-page":"1571","DOI":"10.1016\/j.laa.2007.10.002","volume":"428","author":"G Xu","year":"2008","unstructured":"Xu, G., Driessen, T. S. H., & Sun, H. (2008). Matrix analysis for associated consistency in cooperative game theory. Linear Algebra and its Applications, 428, 1571\u20131586.","journal-title":"Linear Algebra and its Applications"},{"key":"3055_CR16","doi-asserted-by":"publisher","first-page":"224","DOI":"10.1016\/j.laa.2014.12.036","volume":"471","author":"G Xu","year":"2015","unstructured":"Xu, G., van den Brink, R., van der Laan, G., & Sun, H. (2015). Associated consistency characterization of two linear values for TU games by matrix approach. Linear Algebra and its Applications, 471, 224\u2013240.","journal-title":"Linear Algebra and its Applications"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-018-3055-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10479-018-3055-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-018-3055-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,17]],"date-time":"2019-09-17T19:10:21Z","timestamp":1568747421000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10479-018-3055-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,9,18]]},"references-count":16,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2019,9]]}},"alternative-id":["3055"],"URL":"https:\/\/doi.org\/10.1007\/s10479-018-3055-0","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"value":"0254-5330","type":"print"},{"value":"1572-9338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,9,18]]},"assertion":[{"value":"18 September 2018","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}