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題名 穩定狀態下室友問題延伸之研究
Extension of stable roommates problem
作者 姚瞻海
YAO, ZHAN-HAI
貢獻者 李子壩
姚瞻海
YAO, ZHAN-HAI
日期 1992
1991
上傳時間 2-May-2016 15:17:45 (UTC+8)
參考文獻 [1] A.Alkan,"Nonexistence of stable threesome matchings", Mathematical Social Sciences, 16:207-209,1988.
     [2] L.E. Dubins and D. Freedman," Machiavelli and the Gale-Shapley algorithm", American Mathematical Monthly, 88 : 485-494, 1981.
     [3] D. Gale and L.S. Shapley, "College admissions and the stability of marriage", American Mathematical M onthly,69:9-15,1962.
     [4] D. Gusfield, "The structure of the stable room-mates problem: effcient representation and enumeration of all stable assignments" ,SIMA Journal on Computing ,17: 742-769,1988.
     [5]D. Gusfield and R.W. Ivring, "The stable marriage problem: structure and algorithms" ,MIT press,Cambridge,1989.
     [6] R.W. Irving," An efficient algorithm for the stable room-mates problem", Journal of Algorithms,6: 577-595,1985.
     [7] D. McVitie and L.B. Wilson, "The stable marriage problem", Communications of the A. C.M.,14: 486-490,1971.
     [8] A.E. Roth and M. Sotomayor, "Two sided matching: a study in game- theoretic modelling and analysis" ,Book to be published by Cambridge University Press,Econometric Series, 1991.
     [9]M. Shubik," Game theory in the social sciences concepts and solution" ,MIT Press,Cambridge,1982.
     [10] J.M. Tan," A necessary and sufficient condition for the existence of a complete stable matching", Journal of Algorithms,12:154-178,1991.
     [11] T. Quint, "The core of an m-sided assignment game". Games and Economic Behavior,3:487-503,1991.
描述 碩士
國立政治大學
統計學系
資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002004658
資料類型 thesis
dc.contributor.advisor 李子壩zh_TW
dc.contributor.author (Authors) 姚瞻海zh_TW
dc.contributor.author (Authors) YAO, ZHAN-HAIen_US
dc.creator (作者) 姚瞻海zh_TW
dc.creator (作者) YAO, ZHAN-HAIen_US
dc.date (日期) 1992en_US
dc.date (日期) 1991en_US
dc.date.accessioned 2-May-2016 15:17:45 (UTC+8)-
dc.date.available 2-May-2016 15:17:45 (UTC+8)-
dc.date.issued (上傳時間) 2-May-2016 15:17:45 (UTC+8)-
dc.identifier (Other Identifiers) B2002004658en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/89247-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 統計學系zh_TW
dc.description.tableofcontents 第一章 緒論.................... 1
     第一節 穩定婚姻問題的基本概念與性質.................... 1
     第二節 穩定室友問題的基本概念與性質.................... 6
     第三節 研究動機與目的.................... 9
     第四節 本文架構.................... 9
     第二章 三類別穩定婚姻問題之探討.................... 11
     第一節 模型建立.................... 11
     第二節 穩定分配之定義.................... 14
     第三節 穩定分配與對局的核之關連性.................... 22
     第三章 穩定室友問題的存在討論.................... 27
     第一節 基本術語與符號....................27
     第二節 穩定分割....................30
     第三節 穩定完全分配的充分條件.................... 39
     第四章 結論....................44
     參考文獻....................45
zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002004658en_US
dc.title (題名) 穩定狀態下室友問題延伸之研究zh_TW
dc.title (題名) Extension of stable roommates problemen_US
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) [1] A.Alkan,"Nonexistence of stable threesome matchings", Mathematical Social Sciences, 16:207-209,1988.
     [2] L.E. Dubins and D. Freedman," Machiavelli and the Gale-Shapley algorithm", American Mathematical Monthly, 88 : 485-494, 1981.
     [3] D. Gale and L.S. Shapley, "College admissions and the stability of marriage", American Mathematical M onthly,69:9-15,1962.
     [4] D. Gusfield, "The structure of the stable room-mates problem: effcient representation and enumeration of all stable assignments" ,SIMA Journal on Computing ,17: 742-769,1988.
     [5]D. Gusfield and R.W. Ivring, "The stable marriage problem: structure and algorithms" ,MIT press,Cambridge,1989.
     [6] R.W. Irving," An efficient algorithm for the stable room-mates problem", Journal of Algorithms,6: 577-595,1985.
     [7] D. McVitie and L.B. Wilson, "The stable marriage problem", Communications of the A. C.M.,14: 486-490,1971.
     [8] A.E. Roth and M. Sotomayor, "Two sided matching: a study in game- theoretic modelling and analysis" ,Book to be published by Cambridge University Press,Econometric Series, 1991.
     [9]M. Shubik," Game theory in the social sciences concepts and solution" ,MIT Press,Cambridge,1982.
     [10] J.M. Tan," A necessary and sufficient condition for the existence of a complete stable matching", Journal of Algorithms,12:154-178,1991.
     [11] T. Quint, "The core of an m-sided assignment game". Games and Economic Behavior,3:487-503,1991.
zh_TW