{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,17]],"date-time":"2025-10-17T13:45:22Z","timestamp":1760708722592},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2014,7,4]],"date-time":"2014-07-04T00:00:00Z","timestamp":1404432000000},"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":["Math Meth Oper Res"],"published-print":{"date-parts":[[2014,10]]},"DOI":"10.1007\/s00186-014-0475-8","type":"journal-article","created":{"date-parts":[[2014,7,3]],"date-time":"2014-07-03T12:32:44Z","timestamp":1404390764000},"page":"193-212","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["The price of fairness with the extended Perles\u2013Maschler solution"],"prefix":"10.1007","volume":"80","author":[{"given":"Feimin","family":"Zhong","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinxing","family":"Xie","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaobo","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,7,4]]},"reference":[{"issue":"1","key":"475_CR1","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1287\/opre.1100.0865","volume":"59","author":"D Bertsimas","year":"2011","unstructured":"Bertsimas D, Farias VF, Trichakis N (2011) The price of fairness. Oper Res 59(1):17\u201331","journal-title":"Oper Res"},{"issue":"12","key":"475_CR2","doi-asserted-by":"crossref","first-page":"2234","DOI":"10.1287\/mnsc.1120.1549","volume":"58","author":"D Bertsimas","year":"2012","unstructured":"Bertsimas D, Farias VF, Trichakis N (2012) On the efficiency-fairness trade-off. Manage Sci 58(12):2234\u20132250","journal-title":"Manage Sci"},{"key":"475_CR3","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1007\/BF01242947","volume":"23","author":"E Calvo","year":"1994","unstructured":"Calvo E, Gutierrez E (1994) Extension of the Perles\u2013Maschler solution to n-person Nash bargaining games. Int J Game Theory 23:325\u2013346","journal-title":"Int J Game Theory"},{"key":"475_CR4","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1007\/s001860050056","volume":"49","author":"C Chang","year":"1999","unstructured":"Chang C, Hwang Y-A (1999) A characterization of the leximin solution of the bargaining problem. Math Methods Oper Res 49:395\u2013400","journal-title":"Math Methods Oper Res"},{"key":"475_CR5","first-page":"243","volume":"137","author":"MA Hinojosa","year":"2005","unstructured":"Hinojosa MA, Marmol AM, Monroy L (2005) Generalized Maximin Solutions in Multicriteria Bargaining. Math Methods Oper Res 137:243\u2013255","journal-title":"Math Methods Oper Res"},{"issue":"2","key":"475_CR6","doi-asserted-by":"crossref","first-page":"389","DOI":"10.2307\/1911997","volume":"51","author":"H Imai","year":"1983","unstructured":"Imai H (1983) Individual monotonicity and lexicographic maxmin solution. Econometrica 51(2):389\u2013401","journal-title":"Econometrica"},{"issue":"3","key":"475_CR7","doi-asserted-by":"crossref","first-page":"513","DOI":"10.2307\/1914280","volume":"43","author":"E Kalai","year":"1975","unstructured":"Kalai E, Smorodinsky M (1975) Other solutions to Nash\u2019s bargaining problem. Econometrica 43(3):513\u2013518","journal-title":"Econometrica"},{"issue":"2","key":"475_CR8","doi-asserted-by":"crossref","first-page":"155","DOI":"10.2307\/1907266","volume":"18","author":"JF Nash","year":"1950","unstructured":"Nash JF (1950) The bargaining problem. Econometrica 18(2):155\u2013162","journal-title":"Econometrica"},{"key":"475_CR9","doi-asserted-by":"crossref","first-page":"569","DOI":"10.1007\/s00182-006-0057-y","volume":"35","author":"D Pallaschke","year":"2007","unstructured":"Pallaschke D, Rosenmuller J (2007) A superadditive solution for cephoidal bargaining problems. Int J Game Theory 35:569\u2013590","journal-title":"Int J Game Theory"},{"issue":"3","key":"475_CR10","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1007\/BF01755963","volume":"10","author":"MA Perles","year":"1981","unstructured":"Perles MA, Maschler M (1981) The super-additive solution for the Nash bargaining game. Int J Game Theory 10(3):163\u2013193","journal-title":"Int J Game Theory"},{"issue":"3","key":"475_CR11","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1007\/BF01755725","volume":"11","author":"MA Perles","year":"1982","unstructured":"Perles MA (1982) Non-existence of super-additive solutions for 3-person games. Int J Game Theory 11(3):151\u2013161","journal-title":"Int J Game Theory"},{"key":"475_CR12","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-51570-5","volume-title":"Axiomatic models of bargaining","author":"AE Roth","year":"1979","unstructured":"Roth AE (1979) Axiomatic models of bargaining. Springer, New York"},{"key":"475_CR13","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/BF00437314","volume":"2","author":"H Salonen","year":"1985","unstructured":"Salonen H (1985) A solution for two-person bargaining problems. Soc Choice Welf 2:139\u2013146","journal-title":"Soc Choice Welf"},{"key":"475_CR14","doi-asserted-by":"crossref","first-page":"1237","DOI":"10.1016\/S1574-0005(05)80067-0","volume-title":"Handbook of game theory with economic applications","author":"W Thomson","year":"1994","unstructured":"Thomson W (1994) Cooperative models of bargaining. In: Aumann RJ, Hart S (eds) Handbook of game theory with economic applications. Elsevier, North-Holland, pp 1237\u20131284"},{"key":"475_CR15","volume-title":"Matrix iterative analysis","author":"RS Varga","year":"2009","unstructured":"Varga RS (2009) Matrix iterative analysis. Springer, Berlin"}],"container-title":["Mathematical Methods of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-014-0475-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00186-014-0475-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-014-0475-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T14:33:32Z","timestamp":1558622012000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00186-014-0475-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,7,4]]},"references-count":15,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2014,10]]}},"alternative-id":["475"],"URL":"https:\/\/doi.org\/10.1007\/s00186-014-0475-8","relation":{},"ISSN":["1432-2994","1432-5217"],"issn-type":[{"value":"1432-2994","type":"print"},{"value":"1432-5217","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,7,4]]}}}