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Stochastic stability in games with multiple populations: Theory and application

Research Project

Project/Area Number 23530229
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

MARUTA Toshimasa  日本大学, 総合科学研究科, 教授 (60295730)

Co-Investigator(Renkei-kenkyūsha) OKADA Akira  一橋大学, 大学院経済学研究科, 教授 (90152298)
Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywordsゲーム理論 / 協調ゲーム / 均衡選択 / 確率進化 / タカハト・ゲーム / 社会的ジレンマ / 確率安定性 / 囚人のジレンマ
Research Abstract

In stochastic stability/evolution analysis, while single-population models have been developed well, they are not very good at dealing with many-person and/or asymmetric games. In contrast, multiple-population models can easily accommodate those games. Our research project aims to develop stochastic stability analysis based on multiple-population models.
In particular, we consider the formation and long-run stability of cooperative groups in a social dilemma situation where the pursuit of individual interests conflicts with the maximization of social welfare. The adaptive play model is applied to a game of group formation where voluntary participants negotiate for an institution to enforce them to cooperate. For a class of group formation games with two types, the stochastically stable equilibrium can be characterized in terms of the Nash products of the associated hawk-dove games, which summarize the strategic interaction among the individuals in the game.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (9 results)

All 2014 2012 2011 Other

All Journal Article (2 results) (of which Peer Reviewed: 1 results) Presentation (7 results)

  • [Journal Article] The formation and long-run stabil- ity of cooperative groups in a social dilemma situation2014

    • Author(s)
      Maruta, Toshimasa and Akira Okada
    • Journal Title

      International Journal of Eco- nomic Theory

      Volume: forthcoming (Afinal minor re- vision is requested by the editor)

    • Related Report
      2013 Final Research Report
  • [Journal Article] Stochastically stable equilibria in n-person binary coordination games2012

    • Author(s)
      Maruta Toshimasa and Okada Akira
    • Journal Title

      Mathematical Social Sciences

      Volume: 63 Issue: 1 Pages: 31-42

    • DOI

      10.1016/j.mathsocsci.2011.08.007

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] Equilibrium coop- erative groups in collective action : Char- acterization and selection2012

    • Author(s)
      Maruta, Toshimasa
    • Organizer
      UECE Lisbon Meetings : Game Theory and Applications
    • Place of Presentation
      ISEG/Technical University of Lisbon, Por- tugal
    • Related Report
      2013 Final Research Report
  • [Presentation] Group forma- tion and heterogeneity in collective action games2012

    • Author(s)
      Maruta, Toshimasa
    • Organizer
      12th SAET Conference
    • Place of Presentation
      Univer- sity of Queensland, Australia
    • Related Report
      2013 Final Research Report
  • [Presentation] Group formation and heterogeneity in collective action games2012

    • Author(s)
      丸田 利昌
    • Organizer
      12th Society for the Advancement of Economic Theory Conference
    • Place of Presentation
      University of Queensland
    • Related Report
      2012 Research-status Report
  • [Presentation] Equilibrium cooperative groups in collective action: Characterization and selection2012

    • Author(s)
      丸田 利昌
    • Organizer
      UECE Lisbon Meetings in Game Theory and Applications 2012
    • Place of Presentation
      ISEG/Technical University of Lisbon
    • Related Report
      2012 Research-status Report
  • [Presentation] Stochastically sta- ble equilibria in n-person binary coordination games2011

    • Author(s)
      Maruta, Toshimasa
    • Organizer
      European Meeting of the Economet- ric Society
    • Place of Presentation
      Oslo, Norway
    • Related Report
      2013 Final Research Report
  • [Presentation] Stochastically stable equilibria in n-person binary coordination games2011

    • Author(s)
      Maruta Toshimasa
    • Organizer
      Econometric Society European Meeting
    • Place of Presentation
      University of Oslo
    • Related Report
      2011 Research-status Report
  • [Presentation] The Formation and Long-run Stability of Cooperative Groups

    • Author(s)
      Maruta, Toshimasa
    • Organizer
      Department of Economics Seminar, University of Leicester
    • Place of Presentation
      University of Leicester, England, U.K.
    • Related Report
      2013 Annual Research Report

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

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