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Study of firm size variables which determine growth of firms and the application to growth strategy of firms

Research Project

Project/Area Number 24510212
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Social systems engineering/Safety system
Research InstitutionKanazawa Gakuin University

Principal Investigator

Ishikawa Atushi  金沢学院大学, 経営情報学部, 教授 (90308627)

Project Period (FY) 2012-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords企業 / 成長 / ジブラ則 / 反転対称性 / 非ジブラ則 / 企業規模量 / 成長則 / Gibrat則 / 非Gibrat則 / Cobb-Douglas生産関数 / 準反転対称性 / 技術力 / 経済物理学 / ベキ分布 / 対数正規分布 / Gibrat則 / 非Gibrat則 / Cobb-Douglas生産関数 / 成長率分布 / ベキ成長 / 企業年齢分布 / 企業活動崩壊率 / 付加価値
Outline of Final Research Achievements

Employing financial database of Japanese firms, we clarified that total factor productivity in firms follows power law observed in sales (Y) and number of employees (L) and that sales of firms are significantly influenced by number of employees. We also proved the equivalence of the Cobb-Douglas production function and the inverse symmetry observed in sales, assets (K), and number of employees. Furthermore, we confirmed that Gibrat's law and inverse symmetry among sales, assets, and number of employees of firms, and using them we identified the exact functional form of the probability density function (K;L). We found that the average firm growth follows power law first ten years from their birth, however, the growth follows gentle exponential function, and showed that Non-Gibrat's law and Gibrat's law lead to this phenomena.

Report

(6 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (37 results)

All 2017 2016 2015 2014 2013 2012 Other

All Journal Article (17 results) (of which Peer Reviewed: 10 results,  Acknowledgement Compliant: 9 results,  Open Access: 4 results) Presentation (17 results) (of which Int'l Joint Research: 4 results,  Invited: 1 results) Remarks (3 results)

  • [Journal Article] ビッグデータを用いた企業規模による倒産確率の算出-適正な保険のあり方にむけて-2017

    • Author(s)
      石川 温, 藤本 祥二
    • Journal Title

      金沢学院大学紀要

      Volume: 15 Pages: 115-122

    • NAID

      40021188852

    • Related Report
      2016 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] POSデータを用いた企業売上のナウキャストの可能性2017

    • Author(s)
      石川 温, 藤本 祥二, 水野 貴之
    • Journal Title

      統計数理研究所共同研究レポート

      Volume: 378 Pages: 45-52

    • Related Report
      2016 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] Nowcast of firm sales using POS data toward stock market stability2016

    • Author(s)
      Atushi Ishikawa, Shouji Fujimoto and Takayuki Mizuno
    • Journal Title

      2016 IEEE International Conference on Big Data (Big Data) (2016)

      Volume: - Pages: 2495-2499

    • DOI

      10.1109/bigdata.2016.7840887

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Long-term Firm Growth Properties Derived From Short-term Laws of Sales and the Number of Employees2016

    • Author(s)
      Tsutomu Watanabe, Atushi Ishikawa, Shoji Fujimoto, Takayuki Mizuno
    • Journal Title

      Evolutionary and Institutional Economics Review

      Volume: Volume 13, Issue 2 Issue: 2 Pages: 409-422

    • DOI

      10.1007/s40844-016-0055-0

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Firm Growth Function and Extended-Gibrat's Property2016

    • Author(s)
      Tsutomu Watanabe, Atsushi Ishikawa, Shoji Fujimoto, Takayuki Mizuno
    • Journal Title

      Advances in Mathematical Physics

      Volume: Vol. 2016, Article ID 9303480 Pages: 1-6

    • DOI

      10.1155/2016/9303480

    • Related Report
      2016 Annual Research Report 2015 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] The relation between firm age distributions and the decay rate of firm activities in the United States and Japan2016

    • Author(s)
      石川温、藤本祥二、水野貴之、渡辺努
    • Journal Title

      Big Data (Big Data), 2015 IEEE International Conference on Date of Conference:Oct. 29 2015-Nov. 1 2015

      Volume: Proceedings Pages: 2726-2731

    • DOI

      10.1109/bigdata.2015.7364073

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Firm Age Distributions and the Decay Rate of Firm Activities2015

    • Author(s)
      石川温、藤本祥二、水野貴之、渡辺努
    • Journal Title

      Proceedings of the International Conference on Social Modeling and Simulation, plus Econophysics Colloquium 2014

      Volume: Proceedings Pages: 187-194

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Are firms that are awarded more patents more productive ?2015

    • Author(s)
      石川温、藤本祥二、水野貴之、渡辺努
    • Journal Title

      Econophysics and Data Driven Modelling of Market Dynamics

      Volume: Proceedings Pages: 129-142

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 企業の成長と死に関する法則2015

    • Author(s)
      石川 温, 藤本 祥二, 水野 貴之, 渡辺 努
    • Journal Title

      金沢学院大学紀要 経営経済情報自然科学編

      Volume: 第13号 Pages: 11-19

    • NAID

      40020491184

    • Related Report
      2014 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] 企業の死に関する法則と企業年齢分布の関係2015

    • Author(s)
      石川 温, 藤本 祥二, 水野 貴之, 渡辺 努
    • Journal Title

      統計数理研究所共同研究レポート「経済物理とその周辺」

      Volume: 332 Pages: 66-73

    • Related Report
      2014 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] Firm Age Distributions and the Decay Rate of Firm Activities2015

    • Author(s)
      Atushi Ishikawa, Shouji Fujimoto, Takayuki Mizuno, and Tsutomu Watanabe
    • Journal Title

      Proceedings of the Joint International Conference on Social Modeling and Simulation & Econophysics Colloquium 2014

      Volume: 未定

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Analytical derivation of power laws in firm size variables from Gibrat's law and quasi-inversion symmetry: A geomorphological approach2014

    • Author(s)
      Atushi Ishikawa, Shouji Fujimoto, Takayuki Mizuno and Tsutomu Watanabe
    • Journal Title

      J. Phys. Soc. Jpn.

      Volume: 83 Issue: 3 Pages: 34802-34802

    • DOI

      10.7566/jpsj.83.034802

    • NAID

      40020017910

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] ビッグデータを用いた特許の出願数と会社業績の関係2014

    • Author(s)
      藤本 祥二, 石川 温, 水野 貴之, 渡辺 努
    • Journal Title

      金沢学院大学紀要

      Volume: 第12号 経営経済情報自然科学編 Pages: 57-64

    • NAID

      40020491326

    • Related Report
      2013 Research-status Report
  • [Journal Article] 大規模企業財務データを用いた企業サイズ分布の地形学的導出2013

    • Author(s)
      石川 温, 藤本 祥二, 水野 貴之, 渡辺 努
    • Journal Title

      第5回横幹連合コンファレンス論文集

      Volume: - Pages: 143-146

    • Related Report
      2013 Research-status Report
  • [Journal Article] Estimation of total factor productivity by using the Cobb-Douglas production function induced from inversion symmetry and Gibrat's law2013

    • Author(s)
      Atushi Ishikawa
    • Journal Title

      進化経済学論集

      Volume: 第17集

    • Related Report
      2012 Research-status Report
  • [Journal Article] The Emergence of Different Tail Exponents in the Distributions of Firm Size Variables2012

    • Author(s)
      A. Ishikawa
    • Journal Title

      Physica A

      Volume: 392 Issue: 9 Pages: 2104-2113

    • DOI

      10.1016/j.physa.2013.01.026

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Power Laws in Firm Productivity2012

    • Author(s)
      Tsutomu Watanabe, T. Mizuno, A. Ishikawa, and S. Fujimoto
    • Journal Title

      Progress of Theoretical Physics Supplement

      Volume: 194 Pages: 122-134

    • DOI

      10.1143/ptps.194.122

    • NAID

      110009456877

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] The relation between non-Gibrat's law and the decay rate of firm activities2016

    • Author(s)
      A. Ishikawa, S. Fujimoto, T. Mizuno, and T. Watanabe
    • Organizer
      2016 Conference on Complex Systems
    • Place of Presentation
      Beurs Van Berlage, Amsterdam, The Netherlands
    • Year and Date
      2016-09-19
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Firm Age Distributions and the Decay Rate of Firm Activities2016

    • Author(s)
      石川温、藤本祥二、水野貴之、渡辺努
    • Organizer
      JAFEE20: INTERNATIONAL CONFERENCE ON SOCIO-ECONOMIC SYSTEMS WITH ICT AND NETWORKS
    • Place of Presentation
      東京大学
    • Year and Date
      2016-03-26
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] スーパーマーケットの売上と商品数のベキ的相関2016

    • Author(s)
      石川温、藤本祥二、水野貴之、渡辺努
    • Organizer
      人工知能学会:経営課題にAIを! ビジネス・インフォマティクス研究会
    • Place of Presentation
      沖縄県石垣市 大濱信泉記念館
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
  • [Presentation] 企業の成長則と拡張ジブラ性の関係2016

    • Author(s)
      藤本祥二、石川温、水野貴之、渡辺努
    • Organizer
      平成27年度第2回 「経済物理とその周辺」研究会
    • Place of Presentation
      統計数理研究所
    • Year and Date
      2016-01-09
    • Related Report
      2015 Research-status Report
  • [Presentation] 企業活動停止率と非ジブラ則の関係2016

    • Author(s)
      石川 温, 藤本 祥二, 水野 貴之, 渡辺 努
    • Organizer
      日本物理学会 2016年秋季大会
    • Place of Presentation
      金沢大学
    • Related Report
      2016 Annual Research Report
  • [Presentation] 連続する2年にて1年目にしかデータが存在しない企業の性質2016

    • Author(s)
      藤本祥二, 石川温, 水野貴之, 渡辺努
    • Organizer
      「経済物理とその周辺」研究会
    • Place of Presentation
      キヤノングローバル戦略研究所
    • Related Report
      2016 Annual Research Report
  • [Presentation] Decay rate of firm activities and non-Gibrat's law2016

    • Author(s)
      S. Fujimoto, A. Ishikawa, T. Mizuno, and T. Watanabe
    • Organizer
      ASIA-PACIFIC ECONOPHYSICS CONFERENCE 2016
    • Place of Presentation
      東京大学
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 企業の短期成長則から導かれる長期成長則2015

    • Author(s)
      石川温、藤本祥二、水野貴之、渡辺努
    • Organizer
      経済物理学 2015
    • Place of Presentation
      京都大学 基礎物理学研究所
    • Year and Date
      2015-12-03
    • Related Report
      2015 Research-status Report
  • [Presentation] The Relation between Firm Age Distributions and the Decay Rate of Firm Activities in the United States and Japan2015

    • Author(s)
      藤本祥二、石川温、水野貴之、渡辺努
    • Organizer
      IEEE BigData 2015: Big Data for sustainable development
    • Place of Presentation
      Santa Clara, CA, USA
    • Year and Date
      2015-10-29
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 企業のベキ成長則と非Gibrat則2015

    • Author(s)
      石川温、藤本祥二、水野貴之、渡辺努
    • Organizer
      日本物理学会 2015年秋季大会
    • Place of Presentation
      関西大学
    • Year and Date
      2015-09-16
    • Related Report
      2015 Research-status Report
  • [Presentation] Law of firm growth and death rate2014

    • Author(s)
      Atushi Ishikawa, Shouji Fujimoto, Takayuki Mizuno and Tsutomu Watanabe
    • Organizer
      Social Modeling and Simulation + Econophysics Colloquium 2014
    • Place of Presentation
      Nichii Gakkan, Kobe, Japan
    • Year and Date
      2014-11-04 – 2014-11-06
    • Related Report
      2014 Research-status Report
  • [Presentation] Law of growth and death of firms2014

    • Author(s)
      Atushi Ishikawa, Shouji Fujimoto, Takayuki Mizuno and Tsutomu Watanabe
    • Organizer
      Hawaiian International Workshop on Big Data and Macroeconomics 2014
    • Place of Presentation
      Grand Weilea Resort and Apa (Maui, Hawaii, USA)
    • Year and Date
      2014-08-22 – 2014-08-24
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 大規模企業財務データを用いた企業サイズ分布の地形学的導出2013

    • Author(s)
      藤本 祥二
    • Organizer
      第5回横幹連合コンファレンス
    • Place of Presentation
      香川大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 企業の全要素生産性と特許の統計則2013

    • Author(s)
      藤本 祥二
    • Organizer
      日本物理学会 2013年秋季大会
    • Place of Presentation
      徳島大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Growth of patent quality and productivity of firms (Total factor productivity and patent quality)2013

    • Author(s)
      Atushi Ishikawa
    • Organizer
      FNet 2013 Kyoto -Financial Networks and Systemic Risk-
    • Place of Presentation
      京都大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Estimation of total factor productivity by using the Cobb-Douglas production function induced from inversion symmetry and Gibrat's law2013

    • Author(s)
      Shouji Fujimoto
    • Organizer
      進化経済学会第17回大会
    • Place of Presentation
      中央大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Cobb-Douglas型生産関数と全要素生産性の評価2013

    • Author(s)
      藤本祥二
    • Organizer
      平成24年度第2回 「経済物理とその周辺」研究会
    • Place of Presentation
      統計数理研究所
    • Related Report
      2012 Research-status Report
  • [Remarks] 石川温

    • URL

      http://www2.kanazawa-gu.ac.jp/~ishikawa/ishikawa.html

    • Related Report
      2016 Annual Research Report 2015 Research-status Report 2014 Research-status Report
  • [Remarks] 石川温

    • URL

      http://www2.kanazawa-gu.ac.jp/~ishikawa/ishikawa.html

    • Related Report
      2013 Research-status Report
  • [Remarks] 石川温

    • URL

      http://www2.kanazawa-gu.ac.jp/~ishikawa/ishikawa.html

    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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