{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T03:57:17Z","timestamp":1648526237132},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2018,3,6]],"date-time":"2018-03-06T00:00:00Z","timestamp":1520294400000},"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":["Int J Game Theory"],"published-print":{"date-parts":[[2018,11]]},"DOI":"10.1007\/s00182-018-0617-y","type":"journal-article","created":{"date-parts":[[2018,3,6]],"date-time":"2018-03-06T15:50:28Z","timestamp":1520351428000},"page":"1239-1259","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Equal treatment without large numbers"],"prefix":"10.1007","volume":"47","author":[{"given":"Camelia","family":"Bejan","sequence":"first","affiliation":[]},{"ORCID":"http:\/\/orcid.org\/0000-0002-7381-684X","authenticated-orcid":false,"given":"Juan Camilo","family":"G\u00f3mez","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,3,6]]},"reference":[{"issue":"2","key":"617_CR1","doi-asserted-by":"publisher","first-page":"521","DOI":"10.1007\/s11750-014-0351-y","volume":"23","author":"RP Arribillaga","year":"2015","unstructured":"Arribillaga RP (2015) Convergence of the approximate cores to the aspiration core in partitioning games. TOP 23(2):521\u2013534","journal-title":"TOP"},{"key":"617_CR2","doi-asserted-by":"publisher","first-page":"1461","DOI":"10.2307\/1913567","volume":"55","author":"RJ Aumann","year":"1987","unstructured":"Aumann RJ (1987) Value, symmetry, and equal treatment: a comment on Scafuri and Yannelis. Econometrica 55:1461\u20131464","journal-title":"Econometrica"},{"key":"617_CR3","first-page":"442","volume-title":"Advances in game theory","author":"RJ Aumann","year":"1964","unstructured":"Aumann RJ, Maschler M (1964) The Bargaining set for cooperative games. In: Dresher M, Shapley L, Tucker A (eds) Advances in game theory. Princeton University Press, Princeton, pp 442\u2013476"},{"issue":"1","key":"617_CR4","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/s00182-008-0135-4","volume":"38","author":"C Bejan","year":"2009","unstructured":"Bejan C, G\u00f3mez J (2009) Core extensions for non-balanced TU-games. Int J Game Theory 38(1):3\u201316","journal-title":"Int J Game Theory"},{"issue":"3","key":"617_CR5","doi-asserted-by":"publisher","first-page":"636","DOI":"10.1016\/j.econlet.2012.08.010","volume":"117","author":"C Bejan","year":"2012","unstructured":"Bejan C, G\u00f3mez JC (2012) A market interpretation of the proportional extended core. Econ Lett 117(3):636\u2013638","journal-title":"Econ Lett"},{"issue":"1","key":"617_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF01756101","volume":"12","author":"E Bennett","year":"1983","unstructured":"Bennett E (1983) The aspiration approach to predicting coalition formation and payoff distribution in sidepayment games. Int J Game Theory 12(1):1\u201328","journal-title":"Int J Game Theory"},{"key":"617_CR7","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1137\/0118049","volume":"18","author":"L Billera","year":"1970","unstructured":"Billera L (1970) Some theorems on the core of an \n \n \n \n $$n$$\n \n \n n\n \n \n -person game without side payments. SIAM J Appl Math 18:567\u2013579","journal-title":"SIAM J Appl Math"},{"key":"617_CR8","first-page":"119","volume":"10","author":"O Bondareva","year":"1963","unstructured":"Bondareva O (1963) Some applications of linear programming methods to the theory of cooperative games. SIAM J Probl Kibernetiki 10:119\u2013139","journal-title":"SIAM J Probl Kibernetiki"},{"key":"617_CR9","doi-asserted-by":"publisher","first-page":"235","DOI":"10.2307\/2525306","volume":"4","author":"G Debreu","year":"1963","unstructured":"Debreu G, Scarf H (1963) A limit theorem on the core of an economy. Int Econ Rev 4:235\u2013246","journal-title":"Int Econ Rev"},{"key":"617_CR10","volume-title":"Mathematical psychics","author":"F Edgeworth","year":"1881","unstructured":"Edgeworth F (1881) Mathematical psychics. C. Kegan Paul & Co., London"},{"issue":"2","key":"617_CR11","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1006\/game.1999.0745","volume":"31","author":"R Garratt","year":"2000","unstructured":"Garratt R, Qin C-Z (2000) On market games when agents cannot be in two places at once. Games Econ Behav 31(2):165\u2013173","journal-title":"Games Econ Behav"},{"issue":"40","key":"617_CR12","first-page":"47","volume":"4","author":"DB Gillies","year":"1959","unstructured":"Gillies DB (1959) Solutions to general non-zero-sum games. Contrib Theory Game 4(40):47\u201385","journal-title":"Contrib Theory Game"},{"key":"617_CR13","doi-asserted-by":"publisher","first-page":"132","DOI":"10.1016\/0022-0531(72)90144-5","volume":"4","author":"J Green","year":"1972","unstructured":"Green J (1972) On the inequitable nature of core allocations. J Econ Theory 4:132\u2013143","journal-title":"J Econ Theory"},{"issue":"3","key":"617_CR14","doi-asserted-by":"publisher","first-page":"305","DOI":"10.2307\/2296452","volume":"40","author":"W Hildenbrand","year":"1973","unstructured":"Hildenbrand W, Kirman AP (1973) Size removes inequity. Rev Econ Stud 40(3):305\u2013319","journal-title":"Rev Econ Stud"},{"key":"617_CR15","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1016\/0304-4068(82)90038-6","volume":"10","author":"M Kaneko","year":"1982","unstructured":"Kaneko M (1982) The central assignment game and the assignment markets. J Math Econ 10:205\u2013232","journal-title":"J Math Econ"},{"key":"617_CR16","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1016\/0165-4896(82)90015-4","volume":"3","author":"M Kaneko","year":"1982","unstructured":"Kaneko M, Wooders M (1982) Cores of partitioning games. Math Soc Sci 3:313\u2013327","journal-title":"Math Soc Sci"},{"key":"617_CR17","doi-asserted-by":"publisher","first-page":"355","DOI":"10.1016\/S1574-0005(05)80015-3","volume-title":"Handbook of game theory with economic applications","author":"Y Kannai","year":"1992","unstructured":"Kannai Y (1992) The core and balancedness. In: Aumann RJ, Hart S (eds) Handbook of game theory with economic applications, vol 1. North-Holland, New York, NY, pp 355\u2013395"},{"issue":"6","key":"617_CR18","doi-asserted-by":"publisher","first-page":"1475","DOI":"10.2307\/1913839","volume":"46","author":"A Khan","year":"1978","unstructured":"Khan A, Polemarchakis H (1978) Unequal treatment in the core. Econometrica 46(6):1475\u20131481","journal-title":"Econometrica"},{"issue":"4","key":"617_CR19","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1287\/moor.4.4.303","volume":"4","author":"M Maschler","year":"1979","unstructured":"Maschler M, Peleg B, Shapley L (1979) Geometric properties of the kernel, nucleolus, and related solution concepts. Math Oper Res 4(4):303\u2013338","journal-title":"Math Oper Res"},{"key":"617_CR20","doi-asserted-by":"publisher","first-page":"487","DOI":"10.1016\/0899-8256(91)90017-9","volume":"3","author":"T Quint","year":"1991","unstructured":"Quint T (1991) The core of an m-sided assignment game. Game Econ Behav 3:487\u2013503","journal-title":"Game Econ Behav"},{"key":"617_CR21","unstructured":"Shapley LS (1955) Markets as cooperative games. In: Rand Corporation Paper P-629, pp 1\u20135"},{"issue":"4","key":"617_CR22","doi-asserted-by":"publisher","first-page":"453","DOI":"10.1002\/nav.3800140404","volume":"14","author":"LS Shapley","year":"1967","unstructured":"Shapley LS (1967) On balanced sets and cores. Naval Res Log Quart 14(4):453\u2013460","journal-title":"Naval Res Log Quart"},{"issue":"1","key":"617_CR23","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1007\/BF01753431","volume":"1","author":"LS Shapley","year":"1971","unstructured":"Shapley LS (1971) Cores of convex games. Int J Game Theory 1(1):11\u201326","journal-title":"Int J Game Theory"},{"issue":"4","key":"617_CR24","doi-asserted-by":"publisher","first-page":"805","DOI":"10.2307\/1910101","volume":"34","author":"LS Shapley","year":"1966","unstructured":"Shapley LS, Shubik M (1966) Quasi-cores in a monetary economy with nonconvex preferences. Econometrica 34(4):805\u2013827","journal-title":"Econometrica"},{"key":"617_CR25","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1016\/0022-0531(69)90008-8","volume":"1","author":"LS Shapley","year":"1969","unstructured":"Shapley LS, Shubik M (1969) On market games. J Econ Theory 1:9\u201325","journal-title":"J Econ Theory"},{"issue":"1","key":"617_CR26","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1007\/BF01753437","volume":"1","author":"LS Shapley","year":"1971","unstructured":"Shapley LS, Shubik M (1971) The assignment game I: the core. Int J Game Theory 1(1):111\u2013130","journal-title":"Int J Game Theory"},{"key":"617_CR27","doi-asserted-by":"publisher","first-page":"277","DOI":"10.1016\/0304-4068(83)90005-8","volume":"11","author":"MH Wooders","year":"1983","unstructured":"Wooders MH (1983) The epsilon core of a large replica game. J Math Econ 11:277\u2013300","journal-title":"J Math Econ"},{"key":"617_CR28","first-page":"131","volume":"14","author":"MH Wooders","year":"2010","unstructured":"Wooders MH (2010) Cores of many-players games; nonemptiness and equal treatment. Rev Econ Des 14:131\u2013162","journal-title":"Rev Econ Des"},{"issue":"3","key":"617_CR29","doi-asserted-by":"publisher","first-page":"463","DOI":"10.1029\/WR018i003p00463","volume":"18","author":"HP Young","year":"1982","unstructured":"Young HP, Okada N, Hashimoto T (1982) Cost allocation in water resources development. Water Resour Res 18(3):463\u201375","journal-title":"Water Resour Res"},{"issue":"3","key":"617_CR30","doi-asserted-by":"publisher","first-page":"635","DOI":"10.1007\/PL00004203","volume":"18","author":"J Zhao","year":"2001","unstructured":"Zhao J (2001) The relative interior of the base polyhedron and the core. Econ Theor 18(3):635\u201348","journal-title":"Econ Theor"},{"key":"617_CR31","doi-asserted-by":"publisher","first-page":"592","DOI":"10.1016\/j.geb.2017.05.002","volume":"108","author":"Jingang Zhao","year":"2018","unstructured":"Zhao J (2017) Three little-known and yet still significant contributions of Lloyd Shapley. Game Econ Behav. \n https:\/\/doi.org\/10.1016\/j.geb.2017.05.002","journal-title":"Games and Economic Behavior"}],"container-title":["International Journal of Game Theory"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00182-018-0617-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00182-018-0617-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00182-018-0617-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,6]],"date-time":"2019-03-06T03:54:52Z","timestamp":1551844492000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00182-018-0617-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,6]]},"references-count":31,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2018,11]]}},"alternative-id":["617"],"URL":"https:\/\/doi.org\/10.1007\/s00182-018-0617-y","relation":{},"ISSN":["0020-7276","1432-1270"],"issn-type":[{"value":"0020-7276","type":"print"},{"value":"1432-1270","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,3,6]]},"assertion":[{"value":"20 February 2018","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 March 2018","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}