• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
  • Scopus 收录
  • 全国中文核心期刊
  • 中国科技论文统计源期刊
  • 中国科学引文数据库来源期刊

独立决定条件ⅡA(S2)下的最小决定集及唯一存在性

郭春香 李旭生 郭耀煌

郭春香, 李旭生, 郭耀煌. 独立决定条件ⅡA(S2)下的最小决定集及唯一存在性[J]. 西南交通大学学报, 2007, 20(6): 763-768.
引用本文: 郭春香, 李旭生, 郭耀煌. 独立决定条件ⅡA(S2)下的最小决定集及唯一存在性[J]. 西南交通大学学报, 2007, 20(6): 763-768.
GUO Chunxiang, LI Xusheng, GUO Yaohuang. Minimal Determining Set and Its Unique Existence under Independent Decisiveness Condition ⅡA(S2)[J]. Journal of Southwest Jiaotong University, 2007, 20(6): 763-768.
Citation: GUO Chunxiang, LI Xusheng, GUO Yaohuang. Minimal Determining Set and Its Unique Existence under Independent Decisiveness Condition ⅡA(S2)[J]. Journal of Southwest Jiaotong University, 2007, 20(6): 763-768.

独立决定条件ⅡA(S2)下的最小决定集及唯一存在性

基金项目: 

国家自然科学基金资助项目(70771093,70371026)

西南科技大学博士基金资助项目(07ZX0112)

详细信息
    作者简介:

    郭春香(1971- ),女,博士,副研究员,研究方向为管理科学与决策理论,电话:15808161703.E-mail:gchx1@sina.com

Minimal Determining Set and Its Unique Existence under Independent Decisiveness Condition ⅡA(S2)

  • 摘要: 研究了当独立决定条件ⅡA(S1)弱化为ⅡA(S2)时,在非二元性选择环境下,选择函数的最小决定集及其唯一存在性.证明了在k-集可行性条件、无约束域条件、Pareto优化准则和独立决定条件ⅡA(S2)下,选择函数存在唯一的最小否定集和最小决定集.进而证明了在上述条件下,选择函数满足独立决定条件ⅡA(S2)的充分必要条件不是独裁者,而是寡头控制.

     

  • Arrow K.Social choice and individual values(2nd ed)[M].New York:Wiley,1963:1-30.[2] BAIGENT N.Twitch weak dictators[J].J.Econ,1987,47(4):407-411.[3] SEN A K.Internal consistency of choice[J].Econometrica,1993,61(3):495-521.[4] VINCENZO D (O).Independent Decisiveness and the Arrow theorem[J].Social Choice and Welfare,1998,15(4):563-566.[5] 罗云峰,朱明富,岳超源,等.非二元性选择函数的Arrow不可能性定理[J].系统工程,1998,16(3):13-20.LUO Yunfeng,ZHU Mingfu,YUE Chaoyuan,et al.Choice function non-binariness revealed preference impossibility theorem[J].Systems Engineering,1998,16(3):13-20.[6] 郭耀煌,刘家诚,刘常青,等.格序决策[M].上海:上海科技出版社,2003:1-150.GUO Yaohuang,LIU jiacheng,LIU changqing,et al.Lattice ordered decision-making[M].Shanghai:Shanghai Scienceand Technology Press,2003:1-150.[7] 郭耀煌,刘家诚,周文坤.格序决策行为公理体系及其效用函数存在惟一性定理[J].西南交通大学,2001,36(3):221-224.GUO Yaohuang,LIU Jiacheng,ZHOU Wenkun.Axioms for lattice ordered decision-making behavior and relative utility theorem[J].Journal of Southwest Jiao Tong University,2001,36(3):221-224.[8] 郭耀煌,刘家诚,刘常青.最小决定集与Arrow不可能性定理[J].系统工程,2000,18(2):13-16.GUO Yaohuang,LIU Jiacheng,LIU Changqing.Minimal determining set and arrow impossibllity theorem[J].Systems Engineering,2000,18(2):13-16.[9] SAARI G.Connecting and resolving Sen's and Arrow's theorems[J].Social Choice and Welfare,1998,15(2):239-261.[10] SCHWARTZ T.A really general impossibility theorem[J].Quality and Quantity,1982,16(6):493-505.[11] BIRKHOFF G.Lattice theory(Volume XXV)[M].Providence,Rhode Island:American mathematical society Colloqnium Publications,1973:1-280.[12] PLOTT C R.Path independence,rationality and social choice[J].Econometrica,1973,41(6):1 075-1 091.[13] GRETHER D M,PLOTT C R.Nonbinary social choice an impossibility theorem[J].Review of Economic Studies,1982,49(2):143-149.
  • 加载中
计量
  • 文章访问数:  1131
  • HTML全文浏览量:  74
  • PDF下载量:  277
  • 被引次数: 0
出版历程
  • 收稿日期:  2006-10-03
  • 刊出日期:  2007-12-25

目录

    /

    返回文章
    返回