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Mathematical Model of Stock Market Crash Based onAbductive Reasoning and Development of Cognitive Experiment on Virtual Market

Research Project

Project/Area Number 23700277
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Sensitivity informatics/Soft computing
Research InstitutionTokyo Denki University

Principal Investigator

KAMIURA Moto  東京電機大学, 理工学部, 助教 (10516181)

Project Period (FY) 2011 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Keywords複雑系 / アブダクティブ推論 / 株価変動 / 認知実験 / 市場変動
Research Abstract

Abduction, which is articulated by C.S. Peirce, is one of the forms of inference with logical uncertainty. I studied statistic feature of stock market derived from abduction as human cognitive bias, and I got the following conclusions.
(1) There exists correspondence relation between the three forms of reasoning (i.e. deduction, induction and abduction) and adjoint structures based on linear systems and generalized parameter estimation.
(2) I proposed abductive parameter estimation (APE) andstudied a cognitive experiment of pseudo stock market prediction based on APE concept. APE applied to autoregressive process derives Gaussian, Cauchy andtheir intermediate distribution. These results are supported analytically. I proposed a hypothesis which connects distributions of stock market returns to the intermediate distribution derived from abduction as a human cognitive bias. We arranged a cognitive experiment, which 142 subjects try to predict time series as pseudo stock market dynamics, motivated by Pawelzik’s experiments. As a result, we obtained anexperimental distribution which conforms to one of stock market returns. These achievements were published by 3 articles (including 1 proceeding of international conference) and 12 verbal presentations in academicconferences. I was awarded the prize of excellence presentation in the 12th Conference of SICE-SI. Moreover, I join the Cooperative Research Project Program of the Research Institute of Electrical

Report

(3 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Research-status Report
  • Research Products

    (31 results)

All 2013 2012 2011 Other

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (24 results) (of which Invited: 1 results) Remarks (2 results)

  • [Journal Article] Implicit 相互作用:システムの局所的記述の数理2013

    • Author(s)
      上浦 基
    • Journal Title

      計測自動制御学会論文集

      Volume: Vol.49, No.1 Pages: 190-196

    • NAID

      10031140841

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Implicit相互作用:システムの局所的記述の数理2013

    • Author(s)
      上浦 基
    • Journal Title

      計測自動制御学会論文集

      Volume: 49 Pages: 190-196

    • NAID

      10031140841

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] I/O-Precedential Process as an Ontological Parameter Estimation2012

    • Author(s)
      Moto Kamiura& Yu Murata
    • Journal Title

      Proceedings of SICE Annual Conference 2012

      Pages: 798-800

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] I/O-precedential process as an ontological parameter estimation2012

    • Author(s)
      Moto Kamiura and Yu Murata
    • Journal Title

      SICE Annual Conference (SICE), 2012 Proceedings of

      Volume: 1 Pages: 798-800

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Abduction as Incomplete Parameter Estimation2011

    • Author(s)
      Moto Kamiura
    • Journal Title

      triple C - Cognition, Communication

      Volume: Vol 9, No 2 Pages: 494-501

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Presentation] Stock Market Dynamics Derived from a Cognitive Bias2013

    • Author(s)
      Moto Kamiuraand Yu Murata
    • Organizer
      The 18th Artifical Life and Robotics (AROB2013)
    • Place of Presentation
      Daejeon Convention Center, Daejeon, Korea
    • Related Report
      2012 Final Research Report
  • [Presentation] ネットワーク〉と内部観測2013

    • Author(s)
      上浦 基
    • Organizer
      第24回計測自動制御学会 SI 部門共創システム部会研究会・第7回内部観測研究会(共同開催
    • Place of Presentation
      理化学研究所和光キャンパス
    • Related Report
      2012 Final Research Report
  • [Presentation] Stock Market Dynamics Derived from a Cognitive Bias2013

    • Author(s)
      Moto Kamiura and Yu Murata
    • Organizer
      18th Artifical Life and Robotics
    • Place of Presentation
      Daejeon Convention Center, Daejeon, Korea
    • Related Report
      2012 Annual Research Report
  • [Presentation] 〈ネットワーク〉と内部観測2013

    • Author(s)
      上浦 基
    • Organizer
      第24回計測自動制御学会SI部門共創システム部会研究会・第7回内部観測研究会(共同開催)
    • Place of Presentation
      理化学研究所和光キャンパス
    • Related Report
      2012 Annual Research Report
  • [Presentation] アブダクションと過剰汎化2013

    • Author(s)
      上浦 基
    • Organizer
      早稲田大学複雑系ミニシンポジウム
    • Place of Presentation
      早稲田大学西早稲田キャンパス
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] アブダクティブ推論と株価変動2012

    • Author(s)
      上浦 基
    • Organizer
      東北大学電気通信研究所共同プロジェクト研究会
    • Place of Presentation
      東北大学電気通信研究所
    • Year and Date
      2012-10-28
    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Presentation] 相互作用記述と選択肢生成2012

    • Author(s)
      上浦 基
    • Organizer
      第2回身体性研究会(早稲田大学複雑系高等研究所)
    • Place of Presentation
      早稲田大学西早稲田キャンパス
    • Year and Date
      2012-04-21
    • Related Report
      2012 Final Research Report
  • [Presentation] I/O-Precedential Process as an Ontological Parameter Estimation2012

    • Author(s)
      Moto Kamiuraand Yu Murata
    • Organizer
      SICE Annual Conference 2012 (SICE2012)
    • Place of Presentation
      Akita University, Akita, Japan
    • Related Report
      2012 Final Research Report
  • [Presentation] アブダクティブ推論に基づく市場変動モデルと認知実験の構成2012

    • Author(s)
      上浦基・村田結
    • Organizer
      第13回計測自動制御学会 SI 部門講演会
    • Place of Presentation
      福岡国際会議場
    • Related Report
      2012 Final Research Report
  • [Presentation] 動的アジョイントの観点から見た株価時系列に対する AR パラメータ推定2012

    • Author(s)
      村田結・上浦基
    • Organizer
      第23回 計測自動制御学会 SI 部門共創システム部会研究会・第6回内部観測研究会(共同開催)
    • Place of Presentation
      神戸大学六甲台キャンパス
    • Related Report
      2012 Final Research Report
  • [Presentation] 因果性表現としての関数2012

    • Author(s)
      上浦基・村田結
    • Organizer
      第23回 計測自動制御学会 SI 部門共創システム部会研究会・第6回内部観測研究会(共同開催)
    • Place of Presentation
      神戸大学六甲台キャンパス
    • Related Report
      2012 Final Research Report
  • [Presentation] I/O-Precedential Process as an Ontological Parameter Estimation2012

    • Author(s)
      Moto Kamiura and Yu Murata
    • Organizer
      SICE Annual Conference 2012
    • Place of Presentation
      Akita University, Akita, Japan
    • Related Report
      2012 Annual Research Report
  • [Presentation] アブダクティブ推論に基づく市場変動モデルと認知実験の構成2012

    • Author(s)
      上浦基・村田結
    • Organizer
      第13回計測自動制御学会SI部門講演会
    • Place of Presentation
      福岡国際会議場
    • Related Report
      2012 Annual Research Report
  • [Presentation] 相互作用記述と選択肢生成2012

    • Author(s)
      上浦 基
    • Organizer
      第2回身体性研究会
    • Place of Presentation
      早稲田大学西早稲田キャンパス
    • Related Report
      2012 Annual Research Report
  • [Presentation] 条件付き確率と前層2012

    • Author(s)
      上浦 基
    • Organizer
      第19回内部観測研究会関東部会
    • Place of Presentation
      青山学院大学アスタジオ
    • Related Report
      2012 Annual Research Report
  • [Presentation] 因果性表現としての関数2012

    • Author(s)
      上浦基・村田結
    • Organizer
      第23回 計測自動制御学会SI部門共創システム部会研究会・第6回内部観測研究会(共同開催)
    • Place of Presentation
      神戸大学六甲台キャンパス
    • Related Report
      2011 Research-status Report
  • [Presentation] 動的アジョイントの観点から見た株価時系列に対するARパラメータ推定2012

    • Author(s)
      村田結・上浦基
    • Organizer
      第23回 計測自動制御学会SI部門共創システム部会研究会・第6回内部観測研究会(共同開催)
    • Place of Presentation
      神戸大学六甲台キャンパス
    • Related Report
      2011 Research-status Report
  • [Presentation] 入出力先行過程と共創の数理2011

    • Author(s)
      上浦 基
    • Organizer
      第12回計測自動制御学会 SI 部門講演会
    • Place of Presentation
      京都大学吉田キャンパス
    • Year and Date
      2011-12-23
    • Related Report
      2012 Final Research Report
  • [Presentation] 共創と内部観測の諸相2011

    • Author(s)
      上浦 基
    • Organizer
      東北大学電気通信研究所共同プロジェクト研究会
    • Place of Presentation
      東北大学電気通信研究所
    • Year and Date
      2011-10-22
    • Related Report
      2012 Final Research Report 2011 Research-status Report
  • [Presentation] 共創の論理と自己組織化の論理:臨界現象の視点から2011

    • Author(s)
      上浦 基
    • Organizer
      計測自動制御学会共創システムシンポジウム
    • Place of Presentation
      東京工業大学 大岡山キャンパス
    • Year and Date
      2011-10-21
    • Related Report
      2012 Final Research Report
  • [Presentation] 不確実性環境下での推論と学習2011

    • Author(s)
      上浦 基
    • Organizer
      東北大学電気通信研究所 プロジェクト研究会
    • Place of Presentation
      東京工科大学八王子キャンパス
    • Year and Date
      2011-06-04
    • Related Report
      2012 Final Research Report
  • [Presentation] Estimating, Reasoning and Criticality2011

    • Author(s)
      Moto KAMIURA
    • Organizer
      The 3rd Workshop of Cognitive Theory organized by Internal Measurement Laboratory at Tokyo Denki University
    • Place of Presentation
      Ryokan Sarusawa
    • Related Report
      2011 Research-status Report
  • [Presentation] 共創の論理と自己組織化の論理 臨界現象の視点から2011

    • Author(s)
      上浦 基
    • Organizer
      計測自動制御学会共創システムシンポジウム
    • Place of Presentation
      東京工業大学大岡山キャンパス
    • Related Report
      2011 Research-status Report
  • [Presentation] 入出力先行過程と共創の数理2011

    • Author(s)
      上浦 基
    • Organizer
      計測自動制御学会SI部門講演会
    • Place of Presentation
      京都大学吉田キャンパス
    • Related Report
      2011 Research-status Report
  • [Remarks]

    • URL

      http://proto.rd.dendai.ac.jp/

    • Related Report
      2012 Final Research Report
  • [Remarks]

    • URL

      http://www.geocities.jp/kamiura_m/v

    • Related Report
      2012 Final Research Report

URL: 

Published: 2011-08-05   Modified: 2019-07-29  

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