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Common Knowledge : A Critical Examination

Research Project

Project/Area Number 09610013
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Philosophy
Research InstitutionIbaraki National College of Technology

Principal Investigator

KAMIYAMA Kazuyoshi  Ibaraki National College of Technology, Associate Professor, 一般科目, 助教授 (80161230)

Co-Investigator(Kenkyū-buntansha) MATSUHISA Takasi  Ibaraki National College of Technology, Lecturer, 一般科目, 講師 (40219473)
Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 1998: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1997: ¥700,000 (Direct Cost: ¥700,000)
Keywordsprogmatism / epistemic logic / common knowledge / consensus / Nash equilibrium / monotonicity / axiom of truth / the problem of induction / コンセンサス / コンヴェンション / 論理的全知 / 知者のパラドクス / 合意 / ゲーム理論基礎論
Research Abstract

1. We criticized the game-theoretic study on common knowledge from the epistemological point of view.
2. We found that the Barcan axiom (or the requirement of monotonicity) is the key requirement of the standard analysis and has some problems from the viewpoint of bounded rationality. We proposed a research program ("reductionism") that dispenses with it.
3. We attempted the analysis according to the program and found that we can characterize the Nash equilibrium without the Barcan axiom.
4. We criticized the research program itself from several points of view. We found that a boundary of it is in the fact that it uses the rational man hypothesis, that is, it is based on the assumption that all players are "rational" in the sense of von Neumann-Morgenstern (1947). We pointed out that the first analysis of common knowledge by David Lewis in "Convention : A Philosophical Analysis" (1969) does not use it and has certain significance from the viewpoint of bounded rationality.

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (22 results)

All Other

All Publications (22 results)

  • [Publications] 神山和好: "共有知識の有限的定式化と全知の知者" 科学基礎論研究. 第91号. 31-37 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 神山和好: "規則遵守,公共性,共有知識" 筑波哲学. 印刷中.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Kamiyama: "Abstract Man" Proceedings of the Twentieth World Congress of Philosophy. in press.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Matsuhisa: "Nash Equilibria in Common-Belief without Logical Omniscience" Proceedings of the First Symposium of“Algebras,Languages and Computation". 61-68 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T Matsuhisa: "Logic of Awareness and Vnawareness in Games and Economics" Proceedings of the Second Symposium of“Algebras,Languages and Computation". in press.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Matsuhisa: "Nas Equilibrium as Conjectures in Pulic Belief" Proceedings of the Symposium of“Mathematical Analysis in Econmics". in press.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Kazuyoshi: "Finitary characterizations of common Knowledge, Monotonicity and Reductionism" Journal of the Japan Association for Philosophy of Science. Vol.91. 31-37 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Kazuyoshi: "Rule-following Behavior and common Knowledge" Tsukuba Tetsugaku. (in press.).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Kazuyoshi: "Abstract Man" Proceedings of the Twentieth Congress of Philosophy. (in press.).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Matsuhisa: "Nash Eguilibria in Common-Belief without Logical Omniscience" Proceedings of the First Symposium of "Algebras, Language and Computation. 61-68 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Matsuhisa: "Logic of Awareness and Unawareness in Games and Economics" Proceedings of the Second Symposium of "Algebras, Languages and Computation. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Matsuhisa: "Nash Equilibrium as Conjectures in Public Belief" Proceedings of the Symposium of "Mathemotical Analysis in Economics". (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 神山和好: "共有知識の有限的定式化と全知の知者" 科学基礎論研究. (印刷中).

    • Related Report
      1998 Annual Research Report
  • [Publications] 神山和好: "規則遵守,公共性,共有知識" 筑波哲学. (印刷中).

    • Related Report
      1998 Annual Research Report
  • [Publications] K.Kamiyama: "Abstract Man" Proceedings of the Twentieth World Congress of Philosophy. (in press).

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Matsuhisa: "Logic of Awareness and Unawareness in Games and Economics" Proceedings of the Second Symposium of “Algebras,Languages and Computation". (in press).

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Matsuhisa: "Nash Eguilibrium as Conjectures in Public Belie f" Proceedings of the Sympesium of “Mathematical Analysis in Economics". (in press).

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Matsuhisa: "Nash Equilibria in Common-Belief without Logical Omniscience" Proceedings of the First Symposium of “Algehras,Langnages and Computation". 61-68 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Matsuhisa: "Lattice Structure of Knowledge and Agreeing to Disagree" Journal of Mathematical Economics. Vol.27. 389-410 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Matuhisa: "Logic of Common-Belief without Logical Omniscience" Proceedings of the Workshop on Languages,Computation and Algebra. 31-37 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Matsuhisa: "Agreeing to Disagree without Logical Omniscience" Proceedings of the Workshop on Language,Computation and Algebra. 38-44 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Matsuhisa: "Nash Equilibria in Common-Belief without Logical Omniscience" Proceedings of the First Symposium on Algebra,Languages and Computation. 61-68 (1998)

    • Related Report
      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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