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Studies on continuous and discrete structures in optimization and game theory

Research Project

Project/Area Number 18340031
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKyushu University

Principal Investigator

KAWASAKI Hidefumi  Kyushu University, 大学院・数理学研究院, 教授 (90161306)

Co-Investigator(Kenkyū-buntansha) 岩本 誠一  九州大学, 大学院・経済学研究院, 教授 (90037284)
谷野 哲三  大阪大学, 大学院・工学研究科, 教授 (50125605)
百武 弘登  九州大学, 大学院・数理学研究院, 准教授 (70181120)
白石 俊輔  富山大学, 経済学部, 教授 (60226313)
藤田 敏治  九州工業大学, 工学部, 准教授 (60295003)
Co-Investigator(Renkei-kenkyūsha) IWAMOTO Seiichi  九州大学, 大学院・経済学研究院, 教授 (90037284)
FUKUMOTO Yasuhide  九州大学, 大学院・数理学研究院, 教授 (30192727)
HYAKUTAKE Hiroto  九州大学, 大学院・数理学研究院, 准教授 (70181120)
TANINO Tetsuzo  大阪大学, 大学院・工学研究科, 教授 (50125605)
SHIRAISHI Shunsuke  富山大学, 経済学部, 教授 (60226313)
FUJITA Toshiharu  九州工業大学, 工学部, 准教授 (60295003)
Project Period (FY) 2006 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥8,140,000 (Direct Cost: ¥6,700,000、Indirect Cost: ¥1,440,000)
Fiscal Year 2009: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2008: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2007: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2006: ¥1,900,000 (Direct Cost: ¥1,900,000)
Keywords最適化 / ゲーム理論 / 離散不動点定理 / ナッシュ均衡 / 双対定理 / 動的計画法 / 縮小写像 / 3相分割問題 / 純戦略 / 不動点定理 / 協力ゲーム / 動的計画 / ナッシュ均衡解 / サポートベクターマシン / 非決定性 / 離散化 / ミニマックス計画問題 / 協力ファジィゲーム / 非決定性動的計画
Research Abstract

We have extended a duality theorem for the three-phase partition problem to two cases. One is the case that the optimal solution is degenerate, and the other is in higher dimensional space. We have given two types of discrete fixed point theorems. One is for monotone mappings and the other is for contraction mappings. We showed that the monotonicity is necessary in the two-person game. Further, we delete convexity assumption from discrete fixed point theorem based on Brouwer's fixed point theorem.

Report

(6 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report   Self-evaluation Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (109 results)

All 2010 2009 2008 2007 2006 Other

All Journal Article (48 results) (of which Peer Reviewed: 30 results) Presentation (52 results) Book (3 results) Remarks (6 results)

  • [Journal Article] 縮小写像の離散不動点定理とその応用2010

    • Author(s)
      川崎英文
    • Journal Title

      京大数理研講究録, 不確実・不確定性下での意思決定過程 (in press)

    • Related Report
      2009 Final Research Report
  • [Journal Article] Multiobjective multiclass support vector machines maximizing geometric margins2010

    • Author(s)
      K. Tatsumi, K. Hayashida, R. Kawachi, T. Tanino
    • Journal Title

      Pacific Journal of Optimization 6

      Pages: 115-140

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 縮小写像の離散不動点定理とその応用2010

    • Author(s)
      川崎英文
    • Journal Title

      京都大学数理解析研究所講究録「不確実・不確定性下での意思決定過程」 (掲載決定)

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Discrete fixed point theorems and their application to Nash equilibrium2009

    • Author(s)
      J. Sato, H. Kawasaki
    • Journal Title

      Taiwanese Journal of Mathematics 13

      Pages: 431-440

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Discrete fixed point theorems and their application to Nash equilibrium2009

    • Author(s)
      J.Sato, et al
    • Journal Title

      Taiwanese Journal of Mathematics 13

      Pages: 431-440

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Discrete fixed point theorems and their application to Nash equilibrium2009

    • Author(s)
      J. Sato and H. Kawasaki
    • Journal Title

      to appear in Taiwanese Journal of Mathematics

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Discrete fixed point theorems and their application to Nash equilibrium2009

    • Author(s)
      J. Sato
    • Journal Title

      Taiwanese Journal of Mathematics (in press)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Golden optimal path in discrete-time dynamic optimization processes2009

    • Author(s)
      S. Iwamoto
    • Journal Title

      Advanced Studies in Pure Mathematics 53

      Pages: 99-108

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Duality theorem for a three-phase partition problem2008

    • Author(s)
      H. Kawasaki
    • Journal Title

      Journal of Optimization Theory and Applications 137

      Pages: 1-10

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Coalition formation in convex TU-games based on population monotonicity of random order values2008

    • Author(s)
      T. Tanino
    • Journal Title

      Journal of Nonlinear and Convex Analysis 9

      Pages: 273-281

    • Related Report
      2009 Final Research Report 2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Deterministic Decision Process under Range Constraint Through all Stages2008

    • Author(s)
      T. Fujita
    • Journal Title

      Proceedings of Modeling Decisions for Artificial Intelligence 2008

      Pages: 60-70

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Kinematic variational principle for motion of vortex rings2008

    • Author(s)
      Y. Fukumoto, H.K. Moffatt
    • Journal Title

      Physica D 237

      Pages: 2210-2217

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Multiple directional decision with a control in parallel profile model, Far East2008

    • Author(s)
      H. Hyakutake, T. Fujimaru
    • Journal Title

      Journal of Theoretical Statistics 25

      Pages: 221-228

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Duality theorem for a three-phase partition problem2008

    • Author(s)
      H. Kawasaki
    • Journal Title

      Journal of Optimization Theory and Applications vol.137

      Pages: 1-10

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Coalition formation in convex TU-games based on population monotonicity of random order values2008

    • Author(s)
      T. Tanino
    • Journal Title

      Journal of Nonlinear and Convex Analysis vol.9

      Pages: 273-281

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Duality theorem for a three-phase partition problem2008

    • Author(s)
      H. Kawasaki
    • Journal Title

      J. of Optimization theory and its applications 137

      Pages: 1-10

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Golden complementary dual in quadratic optimization2008

    • Author(s)
      A. Kira
    • Journal Title

      Lecture Notes in Artificial Intelligence 5285

      Pages: 191-202

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multiple directional decision with a control in parallel profile model2008

    • Author(s)
      H. Hyakutake
    • Journal Title

      Far East Journal of Theoretical Statistics 25

      Pages: 221-228

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Deterministic decision process under range constraint through all stages2008

    • Author(s)
      T. Fujita
    • Journal Title

      Proceedings of Modeling Decisions for Artificial Intelligence 2008

      Pages: 60-70

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Discrete fixed point theorems and their applications to the game theory2008

    • Author(s)
      J. Sato
    • Journal Title

      京都大学数理解析研究所講究録 1611

      Pages: 34-41

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Kinematic variational principle for motion of vortex rings2008

    • Author(s)
      Y. Fukumoto
    • Journal Title

      Physica D 237

      Pages: 2210-2217

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Discrete fixed point theorems and their application to Nash equilibrium2008

    • Author(s)
      J.Sato, et. al.
    • Journal Title

      Taiwanese Journal of Mathematics (In press)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Golden duality in dynamic optimization2008

    • Author(s)
      S.Iwamoto, et. al.
    • Journal Title

      Proceedings of the Second Kosen Workshop Mathematics, Technology and Education

      Pages: 35-47

    • Related Report
      2007 Annual Research Report
  • [Journal Article]2008

    • Author(s)
      T.Fujita
    • Journal Title

      Bulletin of the Kyushu Institute of Technology 55

      Pages: 15-24

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Multiple directional decision with a control in parallel profile model2008

    • Author(s)
      H.Hyakutake, et. al.
    • Journal Title

      Far East Journal of Theoretical Statistics (In press)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Analogy of a vortex-jet filament with the Kirchhoff elastic rod and its dynamical extension2008

    • Author(s)
      Y.Fukumoto
    • Journal Title

      Proc.of IUTAM Symposium on Hamiltonian dynamics, vortex structure and turbulence (In press)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A duality theorem based on triangles separating three convex sets2007

    • Author(s)
      H. Kawasaki
    • Journal Title

      Proceedings of the 4th international conference on nonlinear analysis and convex analysis

      Pages: 207-213

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Golden optimal policy in calculus of variation and dynamic programming2007

    • Author(s)
      S. Iwamoto
    • Journal Title

      Advances in Mathematical Economics 10

      Pages: 65-89

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A duality theorem based on triangles separating three convex sets2007

    • Author(s)
      H. Kawasaki
    • Journal Title

      Proceedings of the fourth international symposium of nonlinear analysis and convex analysis

      Pages: 207-213

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Golden optimal policy in calculus of varition and dynamic programming2007

    • Author(s)
      S. Iwamoto
    • Journal Title

      Advances in Mathematical Economics vol.10

      Pages: 65-89

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] A duality theorem based on triangles separating three convex sets2007

    • Author(s)
      H.Kawasaki
    • Journal Title

      Proceedings of the fourth international symposium of nonlinear analysis and convex analysis

      Pages: 207-213

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Golden optimal policy in calculus of variation and dynamic programming2007

    • Author(s)
      S.Iwamoto
    • Journal Title

      Advances in Mathematical Economics 10

      Pages: 65-89

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Confidence regions of parameters in a nonlinear repeated measurement model with mixed effects2007

    • Author(s)
      Yuko Baba, et. al.
    • Journal Title

      Hiroshima Mathematical Journal 37

      Pages: 111-117

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Analogy between a vortex-jet filament and the Kirchhoff elastic rod2007

    • Author(s)
      Y.Fukumoto
    • Journal Title

      Fluid Dynamics Research 39

      Pages: 511-512

    • NAID

      10019735637

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Duality theorem for a three-phase partition problem2007

    • Author(s)
      H.Kawasaki
    • Journal Title

      in Journal of optimization theory and applications 134(in press)(To appear)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A duality theorem based on triangles separating three convex sets2007

    • Author(s)
      H.Kawasaki
    • Journal Title

      Proceedings of the fourth international symposium of nonlinear analysis and convex analysis (in press)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The Golden optimum solution in quadratic programming2007

    • Author(s)
      S.Iwamoto
    • Journal Title

      Proceedings of the fourth international symposium of nonlinear analysis and convex analysis

      Pages: 109-205

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Confidence regions in a nonlinear repeated measurement model with mixed effects2007

    • Author(s)
      H.Hyakutake et al.
    • Journal Title

      Hiroshima Math. J. 37(in press)(To appear)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Analogy between a vortex-jet filament and the Kirchhoff elastic rod2007

    • Author(s)
      Y.Fukumoto
    • Journal Title

      Fluid Dynamics Research (in press)(To appear)

    • NAID

      10019735637

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The Golden trinity - optimality, inequality, identity -2006

    • Author(s)
      S.Iwamoto
    • Journal Title

      京大数理研講究録「経済の数理解析」 1488

      Pages: 1-14

    • Related Report
      2006 Annual Research Report
  • [Journal Article] ε -Optimality for Minimax Programming Problems2006

    • Author(s)
      S.Shiraishi et al.
    • Journal Title

      Journal of Nonlinear and Convex Analysis 7

      Pages: 277-288

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Fixed width confidence interval for equal means with interclass correlation model2006

    • Author(s)
      H.Hyakutake et al.
    • Journal Title

      SUT J. Math. 42

      Pages: 123-131

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Cooperative fuzzy games extended from ordinary cooperative games with restrictions on coalitions2006

    • Author(s)
      T.Tanino et al.
    • Journal Title

      Kybernetika 42・4

      Pages: 441-452

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Values for cooperative fuzzy games with restrictions on coalitions2006

    • Author(s)
      T.Tanino
    • Journal Title

      Proceedings of 9th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty

      Pages: 156-161

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 提携に制限のあるファジィ協力ゲームに対する値2006

    • Author(s)
      谷野哲三
    • Journal Title

      京都大学数理解析研究所講究録 1526

      Pages: 87-95

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On Nondeterministic Dynamic Programming2006

    • Author(s)
      藤田敏治
    • Journal Title

      京都大学数理解析研究所講究録 1488

      Pages: 15-24

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The Fibonacci complementary duality in quadratic programming

    • Author(s)
      S. Iwamoto
    • Journal Title

      Proceedings of the 5^<th> International Conference on Nonlinear Analysis and Convex Analysis (in press)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 全期間依存型制約つき決定過程-確率的推移システム上での加法型制約

    • Author(s)
      藤田敏治
    • Journal Title

      京都大学数理解析研究所講究録 (in press)

    • Related Report
      2008 Annual Research Report
  • [Presentation] Discrete fixed point theorems of contraction mappings2010

    • Author(s)
      H. Kawasaki
    • Organizer
      International Symposium on Nonlinear Analysis and Optimization
    • Place of Presentation
      釜慶大学, 韓国
    • Year and Date
      2010-02-06
    • Related Report
      2009 Final Research Report
  • [Presentation] Discrete fixed point theorems of contraction mappings2010

    • Author(s)
      H.Kawasaki
    • Organizer
      International Symposium on Nonlinear Analysis and Optimization 2010
    • Place of Presentation
      Pukyong University Pusan, Korea
    • Year and Date
      2010-02-06
    • Related Report
      2009 Annual Research Report
  • [Presentation] 縮小写像の離散不動点定理とその応用2009

    • Author(s)
      川崎英文
    • Organizer
      京大数理研研究集会, 不確実・不確定性下での意思決定過程
    • Place of Presentation
      京大数理研
    • Year and Date
      2009-11-11
    • Related Report
      2009 Final Research Report
  • [Presentation] 縮小写像の離散不動点定理とその応用2009

    • Author(s)
      川崎英文
    • Organizer
      京都大学数理解析研究所研究集会「不確実・不確定性下での意思決定過程」
    • Place of Presentation
      京都大学
    • Year and Date
      2009-11-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] 3タイプの離散不動点定理とその応用2009

    • Author(s)
      川崎英文
    • Organizer
      日本オペレーションズ・リサーチ学会
    • Place of Presentation
      長崎大学
    • Year and Date
      2009-11-09
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] Some extensions of discrete fixed point theorems and their application to the game theory2009

    • Author(s)
      H. Kawasaki
    • Organizer
      The 7th International Conference of Numerical Analysis and Applied Mathematics
    • Place of Presentation
      Rethymno, Crete
    • Year and Date
      2009-09-21
    • Related Report
      2009 Final Research Report
  • [Presentation] Some extensions of discrete fixed point theorems and their application to the game theory2009

    • Author(s)
      H.Kawasaki
    • Organizer
      7th International Conference of Numerical Analysis and Applied Mathematics
    • Place of Presentation
      Rethymno, Greece
    • Year and Date
      2009-09-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] Duality theorem for the three-phase partition problem via minimax theorem2009

    • Author(s)
      H. Kawasaki
    • Organizer
      The 6th International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      東工大
    • Year and Date
      2009-03-27
    • Related Report
      2009 Final Research Report
  • [Presentation] Duality theorem for the three-phase partition problem via minimax theorem2009

    • Author(s)
      H. Kawasaki
    • Organizer
      The 6th International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      Tokyo Institute of Technology
    • Year and Date
      2009-03-27
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] On discrete version of Brouwer's fixed point theorem2009

    • Author(s)
      H. Kawasaki
    • Organizer
      International Symposium on Nonlinear Analysis and Optimization 2009
    • Place of Presentation
      釜慶大学, 韓国
    • Year and Date
      2009-02-09
    • Related Report
      2009 Final Research Report
  • [Presentation] On discrete version of Brouwer's fixed point theorem2009

    • Author(s)
      H. Kawasaki
    • Organizer
      International Symposium on Nonlinear Analysis and Optimization 2009
    • Place of Presentation
      Pukyong National University
    • Year and Date
      2009-02-09
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] On discrete version of Brouwer's fixed point theorem2009

    • Author(s)
      H. Kawasaki
    • Organizer
      International Symposium on Nonlinear Analysis and Optimization 2009
    • Place of Presentation
      Pukyong National Univ., Pusan, Korea
    • Year and Date
      2009-02-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] Duality theorem for the three-phase partition problem via minimax theorem2009

    • Author(s)
      H. Kawasaki
    • Organizer
      The 6th International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      東京工業大学
    • Related Report
      2008 Annual Research Report
  • [Presentation] Double versus triple competitive processes : non-deterministic model2008

    • Author(s)
      岩本誠一
    • Organizer
      京都大学数理解析研究所研究集会 : 経済の数理解析
    • Place of Presentation
      京大会館
    • Year and Date
      2008-11-28
    • Related Report
      2008 Annual Research Report
  • [Presentation] Discrete fixed point theorems and their applications to the game theory2008

    • Author(s)
      H. Kawasaki
    • Organizer
      The 28th PNU-POSTECH Algebraic Combinatorics Seminar
    • Place of Presentation
      釜山大学, 韓国
    • Year and Date
      2008-11-15
    • Related Report
      2009 Final Research Report
  • [Presentation] Discrete fixed point theorems and their applications to the game theory2008

    • Author(s)
      H. Kawasaki
    • Organizer
      The 28th PNU-POSTECH Algebraic Combinatorics Seminar
    • Place of Presentation
      Pusan National University
    • Year and Date
      2008-11-15
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Discrete fixed point theorems and their applications to the game theory2008

    • Author(s)
      H. Kawasaki
    • Organizer
      The 28th PNU-POSTECH Algebraic Combinatrics Seminar
    • Place of Presentation
      Pusan National Univ., Pusan, Korea
    • Year and Date
      2008-11-15
    • Related Report
      2008 Annual Research Report
  • [Presentation] 全期間依存型制約つき決定過程-確率的推移システム上での加法型制約2008

    • Author(s)
      藤田敏治
    • Organizer
      京都大学数理解析研究所研究集会 : 不確実性と意思決定の数理
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-11-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Deterministic decision process under range constraint through all stages2008

    • Author(s)
      T. Fujita
    • Organizer
      MDAI2008
    • Place of Presentation
      Sabadell, Spain
    • Year and Date
      2008-10-30
    • Related Report
      2009 Final Research Report 2008 Annual Research Report 2008 Self-evaluation Report
  • [Presentation] 非決定性動的計画で求める対局ゲーム必勝法2008

    • Author(s)
      藤田敏治
    • Organizer
      第12回計画数学関係研究集会 : 数理的決定における解析と展開
    • Place of Presentation
      和歌山県民文化会館
    • Year and Date
      2008-10-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] Multiobjective optimization models for multiclass pattern classification2008

    • Author(s)
      T. Tanino
    • Organizer
      Asian Conference on Nonlinear Analysis and Optimization
    • Place of Presentation
      松江くにびきメッセ
    • Year and Date
      2008-09-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] Fibonacci complementary duality in optimization2008

    • Author(s)
      A. Kira
    • Organizer
      Asian Conference on Nonlinear Analysis and Optimization
    • Place of Presentation
      松江くにびきメッセ
    • Year and Date
      2008-09-15
    • Related Report
      2008 Annual Research Report
  • [Presentation] Some considerations on extensions of cooperative games2008

    • Author(s)
      谷野哲三
    • Organizer
      京都大学数理解析研究所研究集会 : 非線形解析学と凸解析学の研究
    • Place of Presentation
      京都大学
    • Year and Date
      2008-09-02
    • Related Report
      2008 Annual Research Report
  • [Presentation] Necessary and sufficient conditions for the existence of a pure-strategy Nash equilibrium2008

    • Author(s)
      H. Kawasaki, J. Sato
    • Organizer
      The 4th Sino-Japan Optimization Meeting
    • Place of Presentation
      成功大学, 台湾
    • Year and Date
      2008-08-27
    • Related Report
      2009 Final Research Report
  • [Presentation] Necessary and sufficient conditions for the existence of a pure-strategy Nash equilibrium2008

    • Author(s)
      J. Sato
    • Organizer
      The 4th Sino-Japan Optimization Meeting
    • Place of Presentation
      国立成功大学, 台湾
    • Year and Date
      2008-08-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] Confidence regions of functions of parameters in a nonlinear repeated measurement model with mixed effect2008

    • Author(s)
      H. Hyakutake
    • Organizer
      Conference in Honor of Professor E. J. Dudewicz
    • Place of Presentation
      Syracuse University, USA
    • Year and Date
      2008-07-19
    • Related Report
      2008 Annual Research Report
  • [Presentation] The Fibonacci optimal control processes-Dual and reversal2008

    • Author(s)
      S. Iwamoto
    • Organizer
      The 13th International Conference on Fibonacci Numbers and Their Applications
    • Place of Presentation
      University of Patras, Greece
    • Year and Date
      2008-07-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] Non-deterministic dynamic programming with unbounded transition Weights2008

    • Author(s)
      岩本 誠一
    • Organizer
      日本数学会
    • Place of Presentation
      近畿大学理工学部
    • Year and Date
      2008-03-23
    • Related Report
      2007 Annual Research Report
  • [Presentation] Double versus triple competitive processes: non-deterministic model2008

    • Author(s)
      吉良 知文, ほか
    • Organizer
      日本数学会
    • Place of Presentation
      近畿大学理工学部
    • Year and Date
      2008-03-23
    • Related Report
      2007 Annual Research Report
  • [Presentation] Golden Duality in Dynamic Optimization2008

    • Author(s)
      S. Iwamoto
    • Organizer
      The Ibaraki Kosen Workshop-Mathematics, Technology and Education 2008
    • Place of Presentation
      茨城高専
    • Year and Date
      2008-02-16
    • Related Report
      2008 Annual Research Report
  • [Presentation] Golden duality in dynamic optimization2008

    • Author(s)
      S.lwamoto, et. al.
    • Organizer
      The Second Kosen Workshop, Mathematics, Technology and Education
    • Place of Presentation
      茨城高専
    • Year and Date
      2008-02-16
    • Related Report
      2007 Annual Research Report
  • [Presentation] Motion of vortex rings with and without magnetic field2008

    • Author(s)
      Y. Fukumoto
    • Organizer
      XXII International Congress of Theoretical and Applied Mechanics
    • Place of Presentation
      Adelaide Convention Center, Adelaide, Australia
    • Related Report
      2008 Annual Research Report
  • [Presentation] Global time evolution of viscous vortex rings2008

    • Author(s)
      Y. Fukumoto
    • Organizer
      IUTAM symposium 150 Years of Vortex Dynamics
    • Place of Presentation
      Technical University of Denmark, Lyngby, Denmark
    • Related Report
      2008 Annual Research Report
  • [Presentation] Discrete fixed point theorems and their application to a non-cooperative n-person game2007

    • Author(s)
      H.Kawasaki, et. al.
    • Organizer
      The 7th International Conference on Optimization: Techniques and Applications
    • Place of Presentation
      Kobe International Conference Center
    • Year and Date
      2007-12-31
    • Related Report
      2007 Annual Research Report
  • [Presentation] Multiobjective Multiclass Support Vector Machine for Pattern Recognition2007

    • Author(s)
      T.Tanino
    • Organizer
      Taiwan-Japan Symposium 2007
    • Place of Presentation
      朝陽科技大学,台湾
    • Year and Date
      2007-12-25
    • Related Report
      2007 Annual Research Report
  • [Presentation] A discrete fixed point theorem and its application to the game theory2007

    • Author(s)
      H. Kawasaki
    • Organizer
      The 3rd PKNU-KU Joint Symposium on Sciences
    • Place of Presentation
      釜慶大学, 韓国
    • Year and Date
      2007-11-30
    • Related Report
      2009 Final Research Report
  • [Presentation] A discrete fixed point theorem and its application to the game theory2007

    • Author(s)
      H. Kawasaki
    • Organizer
      The 3rd PKNU-KU Joint Symposium on Sciences
    • Place of Presentation
      Pukyong National University
    • Year and Date
      2007-11-30
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] A discrete fixed point theorem its application to the game theory2007

    • Author(s)
      H.Kawasaki, et. al.
    • Organizer
      The 3rd PKNU-KU Joint Symposium on Sciences
    • Place of Presentation
      Pukyong National University, Korea
    • Year and Date
      2007-11-30
    • Related Report
      2007 Annual Research Report
  • [Presentation] 非決定性動的計画による計算順序最適化問題の並列処理への対応2007

    • Author(s)
      藤田 敏治, ほか
    • Organizer
      第11回計画数学関係研究集会
    • Place of Presentation
      金沢学院大学
    • Year and Date
      2007-10-12
    • Related Report
      2007 Annual Research Report
  • [Presentation] Duality theorems based on triangles separating three convex sets2007

    • Author(s)
      H. Kawasaki
    • Organizer
      COE conference on the development of dynamic mathematics with high functionality
    • Place of Presentation
      福岡リーセントホテル
    • Year and Date
      2007-10-04
    • Related Report
      2009 Final Research Report
  • [Presentation] Duality theorems based on triangles separating three convex sets2007

    • Author(s)
      H.Kawasaki
    • Organizer
      COE Conference on the Development of Dynamic Mathematics with High Functionality
    • Place of Presentation
      Fukuoka Recent Hotel
    • Year and Date
      2007-10-01
    • Related Report
      2007 Annual Research Report
  • [Presentation] Confidence regions of parameters in a nonlinear repeated measurement model2007

    • Author(s)
      百武 弘登
    • Organizer
      科研研究集会
    • Place of Presentation
      日本女子大学
    • Year and Date
      2007-09-19
    • Related Report
      2007 Annual Research Report
  • [Presentation] 離散不動点定理とゲーム理論へのその応用2007

    • Author(s)
      川崎英文, 佐藤潤一
    • Organizer
      京大数理研研究集会, 非線形解析学と凸解析学の研究
    • Place of Presentation
      京大数理研
    • Year and Date
      2007-09-03
    • Related Report
      2009 Final Research Report
  • [Presentation] Discrete fixed point theorems and their application to the game theory,Workshop on nonlinear analysis and convex analysis2007

    • Author(s)
      H.Kawasaki, et. al.
    • Organizer
      京大数理研研究集会, 非線形解析学と凸解析学の研究
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-09-03
    • Related Report
      2007 Annual Research Report
  • [Presentation] Multiobjective multiclass Support Vector Machine for pattern classification2007

    • Author(s)
      T.Tanino
    • Organizer
      Complex Systems Modeling Workshop
    • Place of Presentation
      IIASA,Austria
    • Year and Date
      2007-08-29
    • Related Report
      2007 Annual Research Report
  • [Presentation] Elliptical instability of a vortex tube and drift current induced by it2007

    • Author(s)
      Y.Fukumoto, et. al.
    • Organizer
      International Conference "Turbulent Mixing and Beyond, Chairperson: Snezhana I.Abarzhi
    • Place of Presentation
      Trieste, Italy
    • Year and Date
      2007-08-24
    • Related Report
      2007 Annual Research Report
  • [Presentation] Multi-stage Decision Process under a Constraint over all Stages2007

    • Author(s)
      T.Fujita
    • Organizer
      INFORMS 2007
    • Place of Presentation
      Wyndham Rio Mar Beach Resort & Spa,USA
    • Year and Date
      2007-07-08
    • Related Report
      2007 Annual Research Report
  • [Presentation] Kinematic variational principle for motion of vortex rings2007

    • Author(s)
      Y.Fukumoto
    • Organizer
      Internatioal Conference Euler Equations: 250 Years
    • Place of Presentation
      Centre Paul Langevin, Aussois, France
    • Year and Date
      2007-06-20
    • Related Report
      2007 Annual Research Report
  • [Presentation] Coalition Formation in Convex TU-Games Based on Population Monotonicity of Random Order Values2007

    • Author(s)
      T.Tanino
    • Organizer
      Fifth International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      台湾精華大学
    • Year and Date
      2007-06-01
    • Related Report
      2007 Annual Research Report
  • [Presentation] Some extensions of the duality theorem based on triangles separating three convex sets2007

    • Author(s)
      H. Kawasaki
    • Organizer
      The 5th International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      精華大学, 台湾
    • Year and Date
      2007-05-31
    • Related Report
      2009 Final Research Report
  • [Presentation] Some extensions of the duality theorem based on triangles separating three convex sets2007

    • Author(s)
      H.Kawasaki
    • Organizer
      The Fifth International Conference on Nonlinear A nalysis and Convex Analysis
    • Place of Presentation
      National Tsing Hua University, Hsinchu, Taiwan
    • Year and Date
      2007-05-31
    • Related Report
      2007 Annual Research Report
  • [Presentation] A duality theorem based on triangular cylinders separating three convex sets in R^n2006

    • Author(s)
      H. Kawasaki
    • Organizer
      The 5th Ballarat Workshop on global and non-smooth optimization
    • Place of Presentation
      University of Ballarat, Australia
    • Year and Date
      2006-11-28
    • Related Report
      2009 Final Research Report
  • [Book] 現代技術への数学入門, 最適化法2008

    • Author(s)
      川崎英文
    • Publisher
      講談社
    • Related Report
      2009 Final Research Report
  • [Book] 現代技術への数学入門「最適化法」2008

    • Author(s)
      川崎英文
    • Publisher
      講談社
    • Related Report
      2008 Annual Research Report 2008 Self-evaluation Report
  • [Book] 最適化と数理ファイナンス(仮題)2008

    • Author(s)
      川崎 英文・谷口 説男
    • Total Pages
      55
    • Publisher
      講談社
    • Related Report
      2007 Annual Research Report
  • [Remarks]

    • URL

      http://www2.math.kyushu-u.ac.jp/~kawasaki/index.htm

    • Related Report
      2009 Final Research Report
  • [Remarks]

    • URL

      http://www2.math.kyushu-u.ac.jp/~kawasaki/index.htm

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www2.math.kyushu-u.ac.jp/~kawasaki/index.htm

    • Related Report
      2008 Self-evaluation Report
  • [Remarks]

    • URL

      http://www2.math.kyushu-u.ac.jp/~kawasaki/Research.htm

    • Related Report
      2008 Annual Research Report
  • [Remarks]

    • URL

      http://www2.math.kyushu-u.ac.jp/~kawasaki/Research.htm

    • Related Report
      2007 Annual Research Report
  • [Remarks]

    • URL

      http://hyoka.ofc.kyushu-u.ac.jp/search/details/k000705/research.html

    • Related Report
      2007 Annual Research Report

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Published: 2006-04-01   Modified: 2016-04-21  

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