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Extension of standard game dynamics and its applications

Research Project

Project/Area Number 21500210
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Sensitivity informatics/Soft computing
Research InstitutionHokkaido University

Principal Investigator

SATO Yuzuru  北海道大学, 電子科学研究所, 准教授 (30342794)

Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Keywords複雑系 / 時空カオス / ゲーム力学系 / 情報理論 / N人ゲーム力学系 / 学習方程式 / マルコフゲーム / 確率的ダイナミクス / マルコフゲーム力学 / マルコフゲーム力学系 / 連続ゲーム力学系
Research Abstract

We extend the standard game dynamics to N-person game dynamics, Markov game dynamics, and continuous game dynamics and study them in terms of dynamical systems theory. (1) N-person game dynamics : The model is described as coupled map lattice and globally coupled maps, and shows complex nonlinear behavior such as traveling waves, spatiotemporal chaos, spatiotemporal intermittency. (2) Markov game dynamics : Players are modeled not by probability distributions, but by simple Markov systems. We analyze them dynamical systems theoretically and information theoretically. (3) Continuous game dynamics : Mixed strategies for continuous actions are modeled as probability density functions and a PDE model is constructed.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (39 results)

All 2012 2011 2010 2009 Other

All Journal Article (8 results) (of which Peer Reviewed: 6 results) Presentation (28 results) Remarks (3 results)

  • [Journal Article] Robust Computation in Two-dimensional Neural Field2012

    • Author(s)
      Y.Sato, S.Amari
    • Journal Title

      Proc.of ICCN11

      Volume: (in press)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Traveling bumps and thier collisions in two-dimensional neural field2011

    • Author(s)
      Yao Lu, Yuzuru Sato, and Shun-ichi Amari
    • Journal Title

      Neural Computation

      Volume: 23:5 Pages: 1248-1260

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Sensitivity to initial conditions, entropy production and escape rate at the onset of chaos2011

    • Author(s)
      Miguel Fuentes, Yuzuru Sato and Constantino Tsallis
    • Journal Title

      Physics Letters A

      Volume: 375:33 Pages: 2988-2991

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Traveling bumps and their collisions in a two-dimensional neural field2011

    • Author(s)
      Y.Lu, Y.Sato, S.Amari
    • Journal Title

      Neural Computation

      Volume: 23 Issue: 5 Pages: 1248

    • DOI

      10.1162/neco_a_00111

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sensitivity to initial conditions, entropy production and escape rate at the onset of chaos2011

    • Author(s)
      M.Fuentes, Y.Sato, C.Tsallis
    • Journal Title

      Physics Letters A

      Volume: 16 Issue: 33 Pages: 2988-2991

    • DOI

      10.1016/j.physleta.2011.06.039

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Random dynamics from time-serieses of rotating fluid2011

    • Author(s)
      Y.Sato, M.Iima, Y.Tasaka
    • Journal Title

      Hokkaido University Preprint Series in Mathematics

      Volume: 979 Pages: 40-913

    • Related Report
      2011 Annual Research Report
  • [Journal Article] オートマトン理論の背景2010

    • Author(s)
      佐藤譲
    • Journal Title

      現代思想「現代数学の思考法」

      Volume: 2010年9号 Pages: 155-163

    • Related Report
      2011 Final Research Report 2010 Annual Research Report
  • [Journal Article] Robust Computation in Two-dimensional Neural Field

    • Author(s)
      Yuzuru Sato and Shun-ichi Amari
    • Journal Title

      Proc. of ICCN

      Volume: (in press)

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Presentation] Noise-induced phenomena and their applications2012

    • Author(s)
      Yuzuru Sato
    • Organizer
      International workshop on Anomalous Statistics, Generalized Entropies, and Information Geometry
    • Place of Presentation
      奈良女子大(奈良)(招待講演)
    • Year and Date
      2012-03-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] Noise-induced phenomena and their applications2012

    • Author(s)
      Yuzuru Sato
    • Organizer
      Nonlinear Science Colloquium
    • Place of Presentation
      早稲田大学(東京)(招待講演)
    • Year and Date
      2012-01-30
    • Related Report
      2011 Annual Research Report
  • [Presentation] Noise-induced phenomena and their applications : interaction between deterministic chaos and stochastic randomness2012

    • Author(s)
      Yuzuru Sato
    • Organizer
      invited talk, International workshop on Anomalous Statistics
    • Place of Presentation
      Generalized Entropies, and Information Geometry, Nara Women's Univeristy, Nara, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] Random nonlinear phenomena and its applications2011

    • Author(s)
      Yuzuru Sato
    • Organizer
      非線形問題研究会若手WS
    • Place of Presentation
      屋久島研修センター(屋久島)(招待講演)
    • Year and Date
      2011-10-30
    • Related Report
      2011 Annual Research Report
  • [Presentation] Random dynamics from time-series and its applications2011

    • Author(s)
      Yuzuru Sato
    • Organizer
      NOLTA2011
    • Place of Presentation
      KIPC(神戸)(招待講演)
    • Year and Date
      2011-09-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] Noise-induced phenomena in one dimensional maps2011

    • Author(s)
      Yuzuru Sato
    • Organizer
      KiDS seminar
    • Place of Presentation
      京都大学(京都)(招待講演)
    • Year and Date
      2011-07-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] Robust Computation in Two-dimensional Neural Field2011

    • Author(s)
      Yuzuru Sato
    • Organizer
      ICCN2011
    • Place of Presentation
      ヒルトンニセコ(ニセコ)(招待講演)
    • Year and Date
      2011-06-12
    • Related Report
      2011 Annual Research Report
  • [Presentation] Noise-induced phenomena in one dimensional maps2011

    • Author(s)
      Yuzuru Sato
    • Organizer
      SIAM Conference on Applications of Dynamical systems
    • Place of Presentation
      Snowbird Resort (USA)(招待講演)
    • Year and Date
      2011-05-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] Asymmetric game dynamics and its applications2011

    • Author(s)
      佐藤譲
    • Organizer
      ゲーム理論ワークショップ
    • Place of Presentation
      古屋大学(愛知県) 招待講演
    • Year and Date
      2011-03-06
    • Related Report
      2010 Annual Research Report
  • [Presentation] Robust Computation in Two-dimensional Neural Field2011

    • Author(s)
      Yuzuru Sato
    • Organizer
      invited talk, ICCN2011
    • Place of Presentation
      Hilton-Niseko, Niseko,Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] Noise-induced phenomena in one-dimensional maps2011

    • Author(s)
      Yuzuru Sato
    • Organizer
      contributed talks, WCHAOS11
    • Place of Presentation
      Dresden, Germany
    • Related Report
      2011 Final Research Report
  • [Presentation] Random dynamics from time-series and its applications2011

    • Author(s)
      Yuzuru Sato
    • Organizer
      invited talk, NOLTA2011
    • Place of Presentation
      Kobe, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] Noise-induced phenomena in one dimensional maps2011

    • Author(s)
      Yuzuru Sato
    • Organizer
      invited talk, SIAM Conference on Applications of Dynamical systems
    • Place of Presentation
      Snowbird, USA
    • Related Report
      2011 Final Research Report
  • [Presentation] Asymmetric game dynamics and its extensions2011

    • Author(s)
      Yuzuru Sato
    • Organizer
      Game theory workshop
    • Place of Presentation
      Nagoya University, Nagoya, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] Noise-induced statistical periodicity and its applications2011

    • Author(s)
      Yuzuru Sato
    • Organizer
      Dynamics of Complex Systems 2011
    • Place of Presentation
      Hokkaido University, Sapporo, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] Robust computation in activation-inhibition field2010

    • Author(s)
      Yuzuru Sato
    • Organizer
      The 9th international conference on uncon ventional computation
    • Place of Presentation
      University of Tokyo (Tokyoto) 招待講演
    • Year and Date
      2010-06-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] Stability and Diversity of Collective Adaptation2010

    • Author(s)
      佐藤譲
    • Organizer
      理化学研究所望月研究室
    • Place of Presentation
      理化学研究所(埼玉県和光市)
    • Year and Date
      2010-01-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] Robust computation in activation-inhibition field2010

    • Author(s)
      Yuzuru Sato
    • Organizer
      invited talk, The 9th international conference on unconventional computation
    • Place of Presentation
      University of Tokyo, Tokyo, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] Noise-induced phenomena in one dimensional maps2010

    • Author(s)
      Yuzuru Sato
    • Organizer
      invited talk, NIMS Hot Topics Workshop on Applied Dynamical Systems Dynamics in Network and Mathematical Neuroscience
    • Place of Presentation
      NIMS, Daejeon, Korea
    • Related Report
      2011 Final Research Report
  • [Presentation] Noise-induced phenomena in one dimensional maps2010

    • Author(s)
      Yuzuru Sato
    • Organizer
      invited talk, RIKEN Mathematical Science Workshop
    • Place of Presentation
      Kamisuwa, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] Noise-induced phenomena in one dimensional maps : hidden fragility in nonlinear dynamics2010

    • Author(s)
      Yuzuru Sato
    • Organizer
      invited talk, Sapporo winter school on nonlinear science
    • Place of Presentation
      Hokkaido, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] Stability and Diversity of Collective Adaptation2009

    • Author(s)
      佐藤譲
    • Organizer
      北海道大学高橋研究室
    • Place of Presentation
      北海道大学(札幌市)
    • Year and Date
      2009-10-01
    • Related Report
      2009 Annual Research Report
  • [Presentation] High-dimensional chaotic dynamics in an N-person game2009

    • Author(s)
      佐藤譲
    • Organizer
      JAIST橋本研究室
    • Place of Presentation
      JAIST(石川県、能美市)
    • Year and Date
      2009-08-30
    • Related Report
      2009 Annual Research Report
  • [Presentation] High-dimensional chaotic dynamics in an N-person game2009

    • Author(s)
      佐藤譲
    • Organizer
      九州大学巌佐研究室
    • Place of Presentation
      九州大学(福田市)
    • Year and Date
      2009-07-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] Noise-induced phenomena in one dimensional maps2009

    • Author(s)
      Yuzuru Sato
    • Organizer
      invited talk, Workshop : Fluctuation and Noise in Living Organisms, RIKEN
    • Place of Presentation
      Saitama, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] Chaos in function dynamics2009

    • Author(s)
      Yuzuru Sato
    • Organizer
      invited talk, Kobe University GCOE
    • Place of Presentation
      Okinawa, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] High-dimensional chaotic dynamics in an N-person game2009

    • Author(s)
      Yuzuru Sato
    • Organizer
      nvited seminar
    • Place of Presentation
      Kyushu University, Hakata, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] Stability and diversity in collective adaptation2009

    • Author(s)
      Yuzuru Sato
    • Organizer
      invited talk, Chaos revolution in science, technology, and society
    • Place of Presentation
      Sanur Paradise Plaza Hotel, Bali, Indonesia
    • Related Report
      2011 Final Research Report
  • [Remarks]

    • URL

      http://www.math.sci.hokudai.ac.jp/~ysato/

    • Related Report
      2011 Final Research Report
  • [Remarks]

    • URL

      http://www.math.sci.hokudai.ac.jp/~ysato/

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

      http://www.math.sci.hokudai.ac.jp/~ysato/

    • Related Report
      2010 Annual Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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