公平分割とその手順

• 曽 道智

  香川大学経済学部

• 茨木 俊秀

  京都大学大学院情報学研究科数理工学専攻

書誌事項

タイトル別名

• Fair Divisions and Their Procedures
• コウヘイ ブンカツ ト ソノ テジュン

抄録

We survey the recent research in the field of cake divisions and their procedures. The question is how to divide a cake among n players, so that a certain fairness is achieved, where players have individual measures on the cake, and each player only knows his own measure. The model has very wide applications, such as dividing up the property in an estate, and even in determining the border in an international dispute. We first review mathematical definitions of various concepts of fairness. Although the existence of fair divisions is proved under some mathematical conditions, their dividing procedures are not known for all cases. We summarize several existing division procedures and classify them according to their methods and purposes. Finally, we mention some related topics and describe possible future research directions.

収録刊行物

• 応用数理

  応用数理 9 (1), 12-27, 1999

  一般社団法人 日本応用数理学会

詳細情報

• CRID: 1390001205765582336
• NII論文ID: 110007391037
• NII書誌ID: AN10288886
• ISSN: 09172270
• ISSN: 24321982
• DOI: 10.11540/bjsiam.9.1_12
• NDL書誌ID: 4679411
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4679411
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • NDL
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可