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Mathematical Formulation of a Multilateral Netting Scheme and Its Application

Research Project

Project/Area Number 16K13375
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Money/ Finance
Research InstitutionNiigata University

Principal Investigator

Iyetomi Hiroshi  新潟大学, 自然科学系, 教授 (20168090)

Co-Investigator(Kenkyū-buntansha) 渡辺 努  東京大学, 大学院経済学研究科(経済学部), 教授 (90313444)
Research Collaborator IINO Takashi  
KICHIKAWA Yuichi  
Project Period (FY) 2016-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords多者間ネッティング / 債権債務関係 / 金融決済システム / 変分原理 / Helmholtz-Hodge分解 / 貿易収支 / 企業間取引関係 / ループ電流法 / ヘルムホルツ分解 / 三角貿易 / ネッティング / マルチラテラル
Outline of Final Research Achievements

Multilateral netting is a promising clue to mitigation of systemic finacial risk. In this study, we worked out a variational principle leading to a unique solution for multilateral netting. The formulation is so flexible that we can incorporate degree of credibility of participants into the netting. In addition, the multilateral netting theory developed here was applied to trade imbalance and interfirm transation networks to elucidate hierarchical and circular structures embedded in those directed networks.

Academic Significance and Societal Importance of the Research Achievements

多者間ネッティングの相殺方法には無数の解がある。そのため,金融のシステミック・リスクに対する多者間ネッティングの重要性(特にリスクの分散化において)は十二分に認識されているものの,その実装は進んでいない。本研究では,数式を使って誰もが合理的に理解できる多者間ネッティングの方式を確立した。本研究の成果は,多者間ネッティングの実装における困難に対して風穴を開けるとともに,多者間ネッティングの法整備に資すると期待される。

Report

(3 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • Research Products

    (18 results)

All 2018 2017 2016

All Journal Article (3 results) (of which Peer Reviewed: 2 results,  Open Access: 1 results) Presentation (13 results) (of which Int'l Joint Research: 3 results,  Invited: 1 results) Book (2 results)

  • [Journal Article] Hierarchical and Circular Flow Structure of Interfirm Transaction Networks in Japan2018

    • Author(s)
      Yuichi Kichikawa, Hiroshi Iyetomi, Takashi Iino, and Hiroyasu Inoue
    • Journal Title

      Available at SSRN: https://ssrn.com/abstract=3173955

      Volume: -

    • Related Report
      2017 Annual Research Report
    • Open Access
  • [Journal Article] Hierarchical and Circulating Flow Structure in an Interfirm Transaction Network2017

    • Author(s)
      Yuichi Kichikawa, Hiroshi Iyetomi, Takashi Iino, and Hiroyasu Inoue
    • Journal Title

      Abstracts of the 6th Int'l Workshop on Complex Networks and their Applications (Lyon, France, 2017)

      Volume: - Pages: 12-14

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] International Trade Relationship from a Multilateral Point of View2017

    • Author(s)
      Hiroshi Iyetomi, Yuichi Ikeda, Takayuki Mizuno, Takaaki Ohnishi, and Tsutomu Watanabe
    • Journal Title

      Abstracts of the 6th Int'l Workshop on Complex Networks and their Applications (Lyon, France, 2017)

      Volume: - Pages: 253-255

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Presentation] 企業間取引ネットワークにおけるコミュニティ構造とショック伝播2018

    • Author(s)
      吉川悠一,家富洋,飯野隆史,井上寛康
    • Organizer
      日本物理学会第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 国際貿易収支ネットワークのフロー構造:階層性と循環性2018

    • Author(s)
      武田正俊,家富洋
    • Organizer
      日本物理学会第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Interfirm Transaction Relationship as a Directed Network2017

    • Author(s)
      家富洋
    • Organizer
      第21回進化経済学会京都大会年次大会
    • Place of Presentation
      京都大学(京都府京都市)
    • Year and Date
      2017-03-25
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Interfirm Flow Structure of an Exhaustive Production Network in Japan2017

    • Author(s)
      H. Iyetomi, T. Iino, Y. Kichikawa, and H. Inoue
    • Organizer
      The 22nd Workshop on the Economic Science with Heterogeneous Interacting Agents (WEHIA2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 企業間取引ネットワークにおける階層・循環的フロー構造II2017

    • Author(s)
      家富洋,吉川悠一,飯野隆史,井上寛康
    • Organizer
      日本物理学会2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] International Trade Relationship from a Multilateral Point of View2017

    • Author(s)
      H. Iyetomi, Y. Ikeda, T. Mizuno, T. Ohnishi and T. Watanabe
    • Organizer
      The 6th International Workshop on Complex Networks and Their Applications (Complex Networks 2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 多国間的視点における国際貿易関係2017

    • Author(s)
      家富洋,池田裕一,大西立顕,水野貴之,渡辺努
    • Organizer
      京都大学基礎物理学研究所研究会「経済物理学 2017 - 新たな領域との融合」
    • Related Report
      2017 Annual Research Report
  • [Presentation] 世界貿易ネットワークにおける三角貿易関係2017

    • Author(s)
      武田正俊,吉川悠一,家富洋
    • Organizer
      日本物理学会2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 三角貿易構造の抽出とその変遷2017

    • Author(s)
      武田正俊,吉川悠一,家富洋
    • Organizer
      キャノングローバル戦略研究所主催「経済・社会への分野横断的研究会」
    • Related Report
      2017 Annual Research Report
  • [Presentation] Hierarchical and Circulating Flow Structure in an Interfirm Transaction Network2017

    • Author(s)
      Y. Kichikawa, H. Iyetomi, T. Iino, and H. Inoue
    • Organizer
      The 6th International Workshop on Complex Networks and Their Applications (Complex Networks 2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Hierarchical and Circulating Flow Structure in an Interfirm Transaction Network2017

    • Author(s)
      吉川悠一,家富洋,飯野隆史,井上寛康
    • Organizer
      京都大学基礎物理学研究所研究会「経済物理学 2017 - 新たな領域との融合」
    • Related Report
      2017 Annual Research Report
  • [Presentation] 世界貿易関係のネットワーク的研究:三角貿易関係2017

    • Author(s)
      武田正俊,家富洋
    • Organizer
      京都大学基礎物理学研究所研究会「経済物理学 2017 - 新たな領域との融合」
    • Related Report
      2017 Annual Research Report
  • [Presentation] 貿易収支関係ネットワークのフロー構造2016

    • Author(s)
      吉川悠一,武田正俊,家富洋
    • Organizer
      日本物理学会新潟支部例会
    • Place of Presentation
      新潟大学(新潟県新潟市)
    • Year and Date
      2016-12-10
    • Related Report
      2016 Research-status Report
  • [Book] Macro-Econophysics: New Studies on Economic Networks and Synchronization2017

    • Author(s)
      Hideaki Aoyama, Yoshi Fujiwara, Yuichi Ikeda, Hiroshi Iyetomi, Wataru Souma, and Hiroshi Yoshikawa
    • Total Pages
      432
    • Publisher
      Cambridge University Press
    • ISBN
      9781107198951
    • Related Report
      2017 Annual Research Report
  • [Book] Macro-Econophysics: New Studies on Economic Networks and Synchronization2017

    • Author(s)
      Hideaki Aoyama, Yoshi Fujiwara, Yuichi Ikeda, Hiroshi Iyetomi, Wataru Souma and Hiroshi Yoshikawa
    • Publisher
      Cambridge University Press
    • Related Report
      2016 Research-status Report

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Published: 2016-04-21   Modified: 2021-02-19  

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