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Research on Business Cycles by Chaos Theory

Research Project

Project/Area Number 07630010
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 経済理論
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

NISHIMURA Kazuo  Institute of Economic Research, Kyoto University, Professor, 経済研究所, 教授 (60145654)

Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 1996: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1995: ¥900,000 (Direct Cost: ¥900,000)
KeywordsChaos / Business Cycle / Macro Dynamics / 収穫逓増 / 内生的成長
Research Abstract

In the field of economic dynamics, the application of dynamical systems has been popular since the begining of 1980's. In the end of 1980's the emphasis was shifted to nonlinear dynamics, in particular chaos theory.
By the use of non-linear dynamics, complex economic phenomenons may be explained by a relatively simple model. The purpose of this research is to establish the endogenous theories of business cycles, fertility changes and stock price changes.
At the start of this project, I presented a paper on the survey of the literature in the international conference on Economic Dynamics held at Thecnical University of Vienna in Austria, May, 1995. In July I organized the workshop on endogenous growth at Otaru University of Commerce. In January, 1996, I attended the conference on International trade held in Hakone and exchanged information. By then I have collected the emprical date and I was ready to refine the model and start analysis. The survey paper with Gerhard Sorger was accepted by Journal of Nonlinear Dynamics and Econometrics.
In 1996, while I started to build the macro economic model and investigate its mathematical properties, I discussed with mathermaticians, engineers and foreign researchers. I visited Cornell University in May, Institute of Mathematics (IMPA) in Brasil in August, New York University in November and presented ongoing research and exchenged information. As a result, in the new macro dynamic model with increasing returns, I obtained conditions for economic growth, business cycles and chaos and could analyze dynamics of growth paths by computer simulations. I am now writing those results as a paper to submit to an international journal.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (29 results)

All Other

All Publications (29 results)

  • [Publications] Kazuo Nishimura, Gerhard Sorger: "Optical Cycles and Chaos : A Survey" Studies in Nonlinear Dynamics and Econometrics. 1. 11-28 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kazuo Nishimura, Makoto Yano: "On the Least Upper Bound of Discount Factors that are Compatible with Optimal Period-Three Cycles" Journal of Economic Theory. 66. 306-333 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kazuo Nishimura, Michihiro Ohyama: "External Debt Cycles" Journal of Structual Change and Economic Dynamics. 6. 215-236 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kazuo Nishimura, Makoto Yano: "Non-linear Dynamics and Chaos in Optimal Growth : An Example" Econometrica. 63. 981-1001 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kazuo Nishimura, Makoto Yano: "Non-linearity and Business Cycles in a Two Sector Equilibum Model : An Example with Cobb-Douglas Production Functions" Nonlinear and Convex Analysis in Economic Theory. 231-245 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kazuo Nishimura, Makoto Yano: "Durable Capital and Chaos in Competitive Business Cycles" Journal of Economic Behavior and Organizations. 27. 165-181 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 西村和雄 矢野 誠: "Non-linear Dynamics and Chaos in Optimal Growth : An Example" Econometrica. 63. 981-1001 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 西村和雄 大山道広: "External Debt Cycles" Journal of Structual Change and Economic Dynamics. 6. 215-236 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 西村和雄: "ミクロ経済学入門(第2版)" 岩波書店, 458 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 西村和雄: "知の方程式" 集英社, 253 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 西村和雄: "ミクロ経済学入門(第2版)" 岩波書店, 458 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kazuo Nishimura Gerhard Sorger: "Optimal Cycles and Chaos : A Survey" Studies in Nonlinear Dynamics and Econometrics. Vol.1. 11-28 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kazuo Nishimura Makoto Yano: "On the Least Upper Bound of Discount Factors that are Compatiblewith Optimal Period-Three Cycles" Journal of Economic Theory. Vol.66. 306-333 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kazuo Nishimura Michihiro Ohyama: "External Debt Cycles" Journal of Structual Change and Ecomonic Dynamics. Vol.6. 215-236 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kazuo Nishimura Makoto Yano: "Non-linear Dynamics and Chaos in Optimal Growth : An Example" Econometrica. Vol.63. 981-1001 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kazuo Nishimura Makoto Yano: "Non-linearity and Business Cycles in a Two Sector Equilibum Model : An Example with Cobb-Douglas Production Functions" Nonlinear and Convex Analysis in Economic Theory. 231-245 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kazuo Nishimura Makoto Yano: "Durable Capital and Chaos in Competitive Business Cycles" Journal of Economic Behavior and Organizations. Vol.27. 165-181 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kazuo Nishimura: "Introduction to Macroeconomics, 2nd Edition, " (in Japanese). Iwanami Shoten, 458 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kazuo Nishimura: "Chi no Hoteishiki, " (in Japanese). Shueisha, 253 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kazuo Nishimura: "“Optimal Cycles and Chaos : A Survey"" Studies in Nonlinear Dynamics and Econometrics. 1. 11-28 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Kazuo Nishimura: "“On the Least Upper Bound of Discount Factors that are Compatible with Optimal Period-Three Cycles"" Journal of Economic Theory. 66. 306-333 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Kazuo Nishimura Gethard Sorger: "“Optimal Cycles and Chaos: A Survey"" Studies in Nonlinear Dynamics and Eonometrics. (予定).

    • Related Report
      1995 Annual Research Report
  • [Publications] Kazuo Nishimura, Makoto Yano: "“On the Least Upper Bound of Discunt Factors that are Compatible with Optimal Period-Three Cycles"" Journal of Economic Theory. (予定).

    • Related Report
      1995 Annual Research Report
  • [Publications] Kazuo Nishimura, Michihiro Ohyama: "“External Debt Cycles"" Journal of Structual Change and Ecomonic Dynamics. 6. 215-236 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Kazuo Nishimura, Makoto Yano: "“Non-linear Dynamics and Chaos in Optimal Growth: An Example"" Econometrica. 63. 981-1001 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Kazuo Nishimura, Makoto Yano: "“Non-linearity and Business Cycles in a Two Sector Equilibum Model: An Example with Cobb-Douglas Production Functions"" Nonlinear and Convex Analysis in Economic Theory. 231-245 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Kazuo Nishimura, Makoto Yano: "“Durable Capital and Chaos in Competitive Business Cycles"" Journal of Economic Behavior and Organizations.27. 165-181 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 西村和雄: "ミクロ経済学入門(第2版)" 岩波書店, 458 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 西村和雄: "知の方程式" 集英社, 253 (1995)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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