• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Cooperative solutions (cores) of games with differential information

Research Project

Project/Area Number 16K03566
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Economic theory
Research InstitutionMeijo University

Principal Investigator

Noguchi Mitsunori  名城大学, 経済学部, 教授 (00208331)

Project Period (FY) 2016-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2018: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywordsゲーム理論 / 協力ゲーム / コア / 非対称情報 / ベイジアンゲーム / 不完全情報ゲーム / タイプ / リアプノフの定理 / αコア解の安定性 / 本質的ゲーム / ノンアトミック / σ加法族 / 私的情報
Outline of Final Research Achievements

This study is about a n-player normal-form game, in which each player possesses private information about the state of the world, and the alpha-core, that is, a set of stable cooperative solutions. In the first phase, we proved the non-emptiness of alpha-cores under the assumptions that each player is endowed with a compact metrizable action space, independent sigma-algebras of private information are non-atomic and independent, payoffs are functions of both states and the joint actions of all players, and players act according to the ex-ante payoffs from private-information consistent strategies. In the second phase, with the type model of private information, we proved the essential stability of alpha-cores under the simultaneous perturbations of information structures and payoff functions.

Academic Significance and Societal Importance of the Research Achievements

ランダムな状態について私的情報を持つ有限プレーヤーのゲームは、オークション、寡占市場、契約、環境や通商に関する多国間合意等、種々の現実的状況の数学的モデルとなる。αコア内の戦略組は、各プレーヤーが他のプレーヤーのどのような戦略転換に対しても自らの選択を変更するインセンティブを持たないというもので、極度に注意深い参加者からなる合意問題の解となるものである。したがって、そのような解の存在は、私的情報を持つ複数参加者間の一般的合意可能性の根拠として意味を持ち、また、そのような解の安定性はゲームモデルによる合意予測の信頼性に根拠を与える。

Report

(5 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (8 results)

All 2019 2018 2017 2016

All Journal Article (2 results) (of which Peer Reviewed: 1 results,  Open Access: 1 results) Presentation (6 results) (of which Int'l Joint Research: 3 results,  Invited: 4 results)

  • [Journal Article] Alpha cores of games with nonatomic asymmetric information2018

    • Author(s)
      Mitsunori Noguchi
    • Journal Title

      Journal of Mathematical Economics

      Volume: 75 Pages: 1-12

    • DOI

      10.1016/j.jmateco.2017.12.005

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] N-variable Fubini's Theorem for Young Measures and Iterated Lyapunov's Theorem2018

    • Author(s)
      Mitsunori Noguchi
    • Journal Title

      名城論叢

      Volume: 8 Pages: 21-35

    • NAID

      40021525568

    • Related Report
      2017 Research-status Report
    • Open Access
  • [Presentation] Stability of Purifiable Alpha Cores of Games with Incomplete Information2019

    • Author(s)
      MITSUNORI NOGUCHI
    • Organizer
      2019 Econometric Society Australasian Meeting (ESAM2019)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 非完備情報ゲームの純粋化可能なアルファコア戦略の安定性について2019

    • Author(s)
      野口光宣
    • Organizer
      2019年度数理経済学研究集会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Essential stability of purifiable alpha-core strategies of games with incomplete information2018

    • Author(s)
      野口光宣
    • Organizer
      The 6th Asian Conference on Nonlinear Analysis and Optimization
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Alpha Cores of Games with Nonatomic Asymmetric Information2017

    • Author(s)
      Mitsunori Noguchi
    • Organizer
      2017 Asian Meeting of the Econometric Society
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] ノンアトミックな非対称情報ゲームのαコア2017

    • Author(s)
      野口光宣
    • Organizer
      数理経済学会2017年度研究集会
    • Related Report
      2017 Research-status Report
  • [Presentation] Two-player Bayesian Games with Coherent Belief Hierarchies2016

    • Author(s)
      野口光宣
    • Organizer
      数理経済学会 東京地区セミナー
    • Place of Presentation
      法政大学
    • Year and Date
      2016-09-30
    • Related Report
      2016 Research-status Report
    • Invited

URL: 

Published: 2016-04-21   Modified: 2021-02-19  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi